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Page 2: FREE CFA LEVEL 2 MIND MAPS - 2016

1. Code Of Ethics AndStandards Of

Professional Conduct

a.

All CFA Institute members and candidates arerequired to comply with the Code and Standards

Structure of the CFAInstitute ProfessionalConduct Program

Basic structure for enforcingthe Code and Standards

The CFA Institute Bylaws

Rules of Procedure

Based on twoprimary principles

Fair process to member and candidate

Confidentiality of proceedings

Professional Conductprogram (PCP)

The CFA InstituteBoard of Governors

Maintains oversight and responsibility

Through the DisciplinaryReview Committee (DRC)

Is responsible for theenforcement of theCode and Standards

The CFA DesignatedOfficer Directs professional conduct staff

Conducts professionalconduct inquiries

An inquiry can be promptedby several circumstances

Selfdisclosure

Written complaints

Evidence of misconduct

Report by a CFA exam proctor

Analysis of exam materials and monitoringof social media by CFA Insitute

Process for the enforcementof the Code and Standards

When aninquiry isinitiated

The ProfessionalConduct staff conductsan investigation thatmay include

Requesting a written explanationfrom the member or candidate

Interviewing

The member or candidate

Complaining parties

Third parties

Collecting documents and records in support of its investigation

Upon reviewing thematerial obtained duringthe investigation, theDesignated Officer may

Conclude the inquiry with no disciplinary sanction

Issue a cautionary letter

Continue proceedingsto discipline themember or candidate

If finding that a violation ofthe Code and Standardsoccurred, the DesignatedOfficer proposes adisciplinary sanction

Accepted by member

Rejected by member

The matter is referred to ahearing by a panel of CFAInstitute members

If sanction is imposedcondemnation by the member's peers

suspension of candidate's continuedparticipant in the CFA program

b,c.

Six components ofthe Code of Ethics

Act with integrity, competence, diligence,respect and in an ethical manner

Integrity of investment profession &interest of clients above personal interest

Care & judgment

Practice ethics & encourage others to practice

Integrity & viability of the global capital markets

Professional competence

Seven Standards ofProfessional Conduct

Professionalism

Integrity of Capital markets

Duties of Clients

Duties to Employers

Investment analysis, Recommendations & Actions

Conflict of interest

Responsibilities as a CFA Institutemember or CFA Candidate

WAY TO FINANCE SUCCESS - Website: http://waytofinancesuccess.com1. Code Of Ethics And Standards Of Professional Conduct - CFA Mind Maps Level 2 - 2016 - Copyright by WAY TO FINANCE SUCCESS

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2.1 Standard IPROFESSIONALISM

A. Knowledgeof the law

Guidance

Understand and comply withapplicable laws and regulations

Code and Standards vs. Local law Follow stricter law and regulation

Participation or associationwith violations by others

Responsible for violations in which theyknowingly participate or assist

Dissociate from illegal,unethical activities Leave employers (in extreme case)

Intermediate steps

Attempt to stop the behavior by bringing it to the attention ofemployer through a supervisor or compliance department

May consider directly confrontingthe involved individuals

If not successful,--> step away anddissociate from the activity by

Removing their name from written reports

Asking for a different assignment

Inaction with continued association may be construed as knowing participation

Not required reporting violations to government, CFAI,but advisable in some cases or required by laws in others

Recommendedprocedures forcompliance (RPC)

Members andcandidates

Stay informed

Review procedures

Maintain current files

When in doubt, seek advice ofcompliance personnel or legal counsel

When dissociating from violations, --> Documentany violations and urge firms to stop them

Firms

Develop and/or adopt a code of ethics

Make available to employees info thathighlights applicable laws and regulations

Establish written procedures for reporting suspectedviolation of laws, regulations or company policies

Application

B. Independenceand objectivity

Guidance

Maintain independence andobjectivity in professional activities

How to cope with external andinternal pressures

Externalpressures

By benefits

Gifts, Invitations to lavishfunctions, Tickets, Favors, Job referrals,Allocation of shares in oversubscribed IPOs...

From public companies To issue favorable reports

From Buyside clients May try to pressure sellside analysts

Internalpressures

From theirown firms

e.g. to issue favorable research reports/recommendations for certain companies

Investmentbankingrelationships

to issue favorable research on current orprospective investmentbanking clients

Conflicts of interest

-->

Modest gifts and entertainment areacceptable but special care must be taken must disclose to employers

Best practice: reject any offer of gifts,threatening independence and objectivity

Recommendations must

convey true opinions

free of bias from pressures

be stated in clearand unambiguous language

Portfolio managers must respect andfoster honesty of sellside research

Issuerpaid research

Is fraught with conflicts

Analysts

Must engage in thorough,independent, and unbiased analysis

Must fully disclose potential conflicts,including the nature of compensation

Must strictly limit the type of compensationthey accept for conducting research

Best practice

Accept only flat fee for theirwork prior to writing the report

Without regard to conclusionsor recommendations

RPC

Protect integrity of opinions

Create a restricted list

Restrict special cost arrangements

Limit gifts

Restrict employee investmentsEquity IPOs

Private placements

Review procedures

Written policies on independenceand objectivity of research

C. Misrepresentation

Guidance

Definition of"Misrepresentation"

any untrue statement or omission of a fact

or any false or misleading statement

Must not knowingly makemisrepresentation or givefalse impression in

oral representations, advertising

electronic communications

written materials

Must not misrepresentany aspect of practice, including

qualifications or credentials, services

performance record

Without regard to conclusions orrecommendations

characteristics of an investment

any misrepresentation relating tomember's professional activities

Must not guarantee clients specific returnon investments that are inherently volatile

Standard I(C) prohibits plagiarism in preparationof material for distribution to employers, associates,clients, prospects, general publish

RPC

Written list of available services, description of firm's qualification

Designate employees to speak on behalf of firm

Prepare summary of qualifications and experience,list of services capable of performing

To avoid plagiarism

Maintain copies

Attribute quotations

Attribute summaries

D. Misconduct

Guidance

Address conduct related to professional life

Violations

Any act involving lying, cheating, stealing, other dishonest conduct thatreflects adversely on member's professional activities would be violation

Conduct damaging trustworthiness or competence (include behaviour maynot be illegal but negatively affect a member to perform responsibility suchas abusing alcohol during lunch hours)

Abuse of the CFA Institute Professional Conduct Program

Involved in personal bankruptcy is not automatically assumed to be in violation butbankruptcy involve fraudulent or deceitful business conduct may be a violation

RPC

Develop and/or adopt a code of ethics

Disseminate to all employee a list of potential violations

Check references of potential employees

2.1 Standard I PROFESSIONALISM - CFA Mind Maps Level 2 - 2016 - Copyright by WAY TO FINANCE SUCCESS

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2.2 Standard IIINTEGRITY OF

CAPITAL MARKETS

A. Material non-publicinformation (MNI)

Guidance

Definition of "Materialnonpublic information"

Material information

its significant impact to the priceof security if it is disclosed

Reasonable investors would liketo know for making decision

The reliability of the information

Non-public untildisseminated to the market place and

effficient time for investors to react

Must be particularly aware of infoselectively disclosed by corporations

MosaicTheory

Analysis of Public info + nonmaterialnonpublic info --> Investment conclusion

Analysts are free to act on this collectionof info without risking violation

Analysts should save anddocument all their research

RPC

Make reasonable efforts to achievepublic dissemination of material info

If public disseminationis not possible,

Must communicate the info only to the designatedsupervisory and compliance personnel within the firm

Must not take investment action on the basis of the info

Must not knowingly engage in conductinducing insiders to privately disclose MNI

Encourage firms to

adopt compliance procedurespreventing misuse of MNI

develop & follow disclosure policiesto ensure proper dissemination

use "firewall"

Prohibition of all proprietary trading while firmis in possession of MNI may be inappropriate

B. Marketmanipulation

Definition

Distort prices or artificially inflate trading volumewith the intent to mislead market participants

can be related to

transactions that deceivemarket participants

Transactions that artificiallydistort prices or volume

Securing a controlling, dominant position in afinancial instrument to exploit and manipulateprice of a related derivative/or underlying asset

dissemination of falseor misleading info

including spreading false rumorsto induce trading by others

Standard II(B) not meant toprohibit legitimate trading strategies

prohibit transactions done for tax purposes

The intent of action is critical to determiningwhether it is a violation of this Standard

2.2 Standard II INTEGRITY OF CAPITAL MARKETS - CFA Mind Maps Level 2 - 2016 - Copyright by WAY TO FINANCE SUCCESS

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9. Correlation andRegression - An Overview

A sample covariance, a sample correlation coefficient and a scatter plot

Limitation to correlation analysis

Uses of correlation Analysis

Formulate a test of the hypothesis that the populationcorrelation coefficient equals zero and determine whetherthe hypothesis is rejected at a given level of significance

Distinguish between the dependent andindependent variables in a linear regression

Describe the assumptions underlying linearregression and interpret regression coefficient

Calculate and interpret the standard error ofestimate, the coefficient of determination, and aconfidence interval for a regression coefficient

Formulate a null and alternative hypothesis about a population value ofa regression coefficient and determine the appropriate test statistic andwhether the null hypothesis is rejected at a given level of significance

Calculate the predicted value for the dependent variable, given anestimated regression model and a value for the independent variable

Calculate and interpret a confidence interval forthe predicted value of the dependent variable

Describe the use of analysis of variance (ANOVA) in regression analysis,interpret ANOVA results, and calculate and interpret the F-statistic

Describe limitations of regression analysis

9. Correlation and Regression - An Overview - CFA Mind Maps Level 2 - 2016 - Copyright by WAY TO FINANCE SUCCESS

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9. Correlation andRegression - Part 1

A sample covariance, a samplecorrelation coefficient and a scatter plot

Scatter Plots

A graph that shows the relationship between the observations for two data series in two dimensions

Each observation in the scatter plot is represented as a point, and the points are not connected

The scatter shows only the actual observation of both data series plotted as pairs

Correlation Analysis

Correlation analysis expresses the same relationship (between two data series) using a single number

The correlation coefficient measures the direction and extent of linear association between two variables

A correlation coefficient canhave a maximum value of 1and a minimum value of -1

A correlation coefficient less than 0 indicates a negative linear association

A correlation coefficientgreater than 0 indicates apositive linear association

A scatter plot of two variables with a correlation of 0; they have no linear relation -> the value of A tells us nothing about the value of B

Calculate the Correlation Coefficient

The sample covariance of X and Y, for a sample of size n

The expression for the sample variance of X, is

The sample correlation coefficient

Limitation to correlation analysis

Correlation may be anunreliable measure when

Two variables can have a strong nonlinearrelation and still have a very low correlation

Outliers are present in one or both of the series.Outliers are small numbers of observations ateither extreme (small or large) of a sample

Spurious correlation

correlation between two variables that reflects chance relationship in a particular data set

correlation induced by a calculation that mixes each of two variables with a third

correlation between two variables arising not from a directrelation between them but from their relation to a third variable

Uses of correlation AnalysisIn investment decision-making (for example: inflation forecast)Correlation of stock market tells us how successfully the assets can be combined to diversify risk

Used in a financial statement setting

Formulate a test of the hypothesis that thepopulation correlation coefficient equals zeroand determine whether the hypothesis isrejected at a given level of significance

H0: the correlation in the population is 0 (p = 0)

Ha : the correlation in the population is different from 0 (p # 0)

The formula for the t-test This test statistic has a t-distribution with n-2degrees of freedom if the null hypothesis is true

Sampling from the same population, a false null hypothesis H0: is more likely to be rejected aswe increase sample size. The result whether H0 is rejected also depends on significance level

Distinguish between the dependent andindependent variables in a linear regression

Linear regression with one independent variable (or simple linear regression)models the relationship between two variables as a straight line

Linear regression provides a simple model for forecasting the value of one variable, known as thedependent variable, given the value of the second variable, known as the independent variable

9. Correlation and Regression - Part 1.mmap - 4/28/2016 - Mindjet

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Ensure that linear regressionproduces the correctestimates

use the linear regression model to determinethe distribution of the estimated parameters

and and thus test whether those coefficientshave a particular value

9. Correlation andRegression - Part 2

Describe the assumptionsunderlying linear regression andinterpret regression coefficient

The regression equation

Y: dependent variableX: independent variableb0: the interceptb1: a slope coefficient

b0, b1 are the regression coefficients

Slope coefficient The estimated slope coefficient is interpreted as the changein the dependent variable for a 1-unit change in theindependent variable

The intercept term

The intercept is an estimate of the dependent variable when the independent variable takes on a value of zero

error term (represents the portion of the dependent variable that cannot be explained by the independent variable

Six classic normal linearregression model assumptions

The relationship between the dependent variable, Y, and the independent variable,X is linear in the parameter b0 and b1. b0 and b1 are raised to the first power onlyand that neither b0 nor b1 is multiplied or divided by another (for example, b0/b1).The requirement does not exclude X from being raised to a power other than 1

Critical for a valid linear regression. If the relationshipbetween the independent and dependent variables isnonlinear in the parameters, then estimating that relationwith a linear regression model will produce invalid results

The independent variable, X, is not random

The expected value of the error term is 0

The variance of the error term is thesame for all observations:

The error term is uncorrelated across observations.Consequently, E(ei,j) = 0 for all i not equal to j.

The error term is normally distributed

Calculate and interpret the standarderror of estimate, the coefficient ofdetermination, and a confidenceinterval for a regression coefficient

The formula for the standard error of estimate (SEE) for alinear regression model with one independent variable is

The different between the actual and predicted valuesof the dependent variable is the regression residual

The coefficient of determination (R^2)defined as the percentage of the total variation in the dependent variable explained by the independent variable

R^2 = r^2 for a regression with one independent variable

Regression coefficient confidence interval

Confidence interval spans the range

A confidence interval is an interval of values that we believe includes the true parameter value, , with a given degree of confidence

Formulate a null and alternative hypothesis about apopulation value of a regression coefficient and determinethe appropriate test statistic and whether the nullhypothesis is rejected at a given level of significance

A hypothesis test using the confidence interval approach if we know

the estimated parameter value

the hypothesized value b0 or b1

a confidence interval around the estimated parameter

In practice, the most common way to test a hypothesis using a regression model iswith a t-test of significance. To test the hypothesis, we can compute the statisticThis test statistic has a t-distribution with n-2 degrees of freedom. Reject H0 if t> +tcritical or t <-tcriticalThe appropriate test structure for the null and alternative hypothesis: H0: b1 = 0 versus Ha: b1 # 0

Calculate the predicted value for the dependentvariable, given an estimated regression modeland a value for the independent variable

If we know

Calculate and interpret a confidence interval forthe predicted value of the dependent variable

The prediction interval for a regression equation for aparticular predicted value of the dependent variable Y

Where sf = standard eror of the forecast

tc is two-tailed critical t-value at the desired level of significance with df = n-2

The formula to calculate sf

variance of the residuals = the square of the standard error of estimate

variance of the independent variable

X value of the independent variable for which the forecast was made

Describe the use of analysis of variance (ANOVA)in regression analysis, interpret ANOVA results,and calculate and interpret the F-statistic

Analysis of variance (ANOVA) is a statistical procedure for dividing the total variability of a variable into components that can be attributed to different sourcesUse ANOVA to determine the usefulness of the independent variable or variables in explaining variation in the dependent variableThe F-test tests whether all the slope coefficients in a linear regression are equal to 0The null hypothesis H0: b1 =0The alternative hypothesis Ha: b1 # 1

Formula for the F-statistic in a regressionwith one independent variable is

SSE (The sum of squared errors or residuals)

RSS (The regression sum of squares)

TSS = SSE + RSS

If there are n observations, theF-test for the null hypothesis thatthe slope coefficient is equal to 0is hear denoted

Calculate R^2 and SEE

Describe limitations ofregression analysis

Regression relations can change over time-> the issue of parameter instabilityPublic knowledge of regression relationships may negate their future usefulnessIf the regression assumptions are violated, hypothesis tests and predictions based on linear regression will not be valid

9. Correlation and Regression - Part 2 - CFA Mind Maps Level 2 - 2016 - Copyright by WAY TO FINANCE SUCCESS

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29. Equity Valuation:Applications and Processes -

An Overview

Introduction

Value Definition andValuation Applications

Communicating Valuation Results

The Valuation Process

29. Equity Valuation. Applications and Processes - Overview - CFA Mind Maps Level 2 - 2016 - Copyright by WAY TO FINANCE SUCCESS

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affects a company’s future cash flows -> equity

The requirements are more specific in some situations. For e.g,regulations governing disclosures of conflicts and potential conflictsof interest vary across countries, investment recommendations areaffected by policies of the firm employing an analyst

29. Equity Valuation:Applications and Processes

- Part 1

Introduction

Valuation

The estimation of an asset’s value based on variables perceived to be related to future investmentreturns, on comparisons with similar assets, or on estimates of immediate liquidation proceeds

Basic questions

What is value?

Who uses equity valuations?

What is the importance of industry knowledge?

How can the analyst effectivelycommunicate his analysis?

Value Definition andValuation Applications

Definition

Intrinsic Value

The value of the asset given a hypothetically completeunderstanding of the asset’s investment characteristics

Reflects investor's view of the “true” or “real” value of an asset

Grossman-Stiglitz paradox

Market price and intrinsicvalue are identical

Rational efficientmarkets formulation

Investors will not rationally incur the expenses ofgathering information unless they expect to berewarded by higher gross returns compared withthe free alternative of accepting the market price

Difficult to determine especially

Common stock

Trading costs exist

Further room exists for price to diverge from value

Analysts often view market prices bothwith respect and with skepticism

Seek to identify mispricingA difference between the estimated intrinsicvalue and the market price of an asset

Rely on price eventually converging to intrinsic value

Recognize distinctions among the levelsof market efficiency or tiers of markets

Valuation is an inherent part to attempt positive excessrisk adjusted returns (abnormal return or alpha)

Uncertainty isconstantly present

Revaluate by looking for the presence of aparticular market or corporate event ( catalyst)

VE - P = (V - P) + (VE - V)VE = estimated value

P = market price

V = intrinsic value

(V-P): the true mispricing, the difference between the true butunobservable intrinsic value V and the observed market price P

Contribute to the abnormal return

(VE-V): the difference between the valuationestimate and the true but unobservable intrinsic value

The error in the estimate of the intrinsic value

A useful estimateof intrinsic value

Combine accurate forecasts andappropriate valuation model

Expectational inputs used in valuation models

Active security selection

Manager’s expectations must differ fromconsensus expectations and be correct

Going-Concern Value and Liquidation Value

Going-concern assumption

The assumption that the company will continueits business activities into the foreseeable future

valuemaximizing using assets

accessing its optimal sources of financing

not appropriate for a company in financial distress

The value added by assets working together and by human capital applied to managingthose assets makes estimated goingconcern value greater than liquidation value

Liquidation valueDifferent time frame for liquidating causes different assets value of a company

Orderly liquidation value

Fair Market Value and Investment Value

Fair market value

is the price at which an asset (or liability) would change hands between a willing buyer and a willing sellerwhen the former is not under any compulsion to buy and the latter is not under any compulsion to sell

includes an assumption that both buyer and seller are informed of all material aspects of the underlying investment

often used in valuation related to assessing taxes

Investment value

The concept of value to a specific buyer taking account of potentialsynergies and based on the investor’s requirements and expectations

Valuation Applications

Selecting stocks Primary use

Inferring (extracting ) market expectationsevaluate the reasonableness of the expectations

as a benchmark or comparison value of the same characteristic for another company

Evaluating corporate events

A merger the general term for the combination of two companies

An acquisition

a combination of two companies, with one of the companiesidentified as the acquirer, the other the acquired

the acquiring company’s own common stockis often used as currency for the purchase

A divestiture a company sells some major component of its business

A spin-off

the company separates one of its component businesses and transfersthe ownership of the separated business to its shareholders

A leveraged buyout

an acquisition involving significant leverage [i.e., debt], which isoften collateralized by the assets of the company being acquired.)

Rendering fairness opinions

The parties to a merger may be required to seek a fairness opinion onthe terms of the merger from a third party, such as an investment bank

Evaluating business strategies and models

Companies concerned with maximizing shareholder valueevaluate the effect of alternative strategies on share value

Communicating with analysts and shareholders

Appraising private businesses for transactional purposes

E.g acquisitions or buy-sell agreements for the transfer of equityinterests among owners when one of them dies or retires, IPO,...

Sharebased payment (compensation)

Communicating Valuation Results

Contents of a Research Report

Kind of infor. intended readers seek to gain

Sell-side analyst’s report:investment recommendation

Persuasive supportingarguments

The intrinsic valueof the security

The key assumptions andexpectations underlying thatestimated intrinsic value

An update on the company’sfinancial and operating results

A description of relevant aspects of thecurrent macroeconomic and industry context

An analysis and forecast forthe industry and company

Detailed historical descriptive statisticsabout the industry and company

When a research report states atarget price for a stock, it shouldclarify

the basis for computing the target

information on the uncertainty of reaching the target

a time frame for reaching the target

May be accompanied by an explanation of the underlying rationale

Usual contents

Specific forecasts

A description of the valuation model

Key valuation inputs

A discussion of qualitative factors and other considerations that affect valuation

Objectively address the uncertainty associated with investing in the security,and/or the valuation inputs involving the greatest amount of uncertainty

Contains timely information

is written in clear, incisive language

is objective and well researched, with key assumptions clearly identified

distinguishes clearly between facts and opinions

contains analysis, forecasts, valuation, and a recommendation that are internally consistent

presents sufficient information to allow a reader to critique the valuation

states the key risk factors involved in an investment in the company

discloses any potential conflicts of interests faced by the analyst

Format of a Research Report

Research Reporting Responsibilities

All analysts have an obligation to provide substantive andmeaningful content in a clear and comprehensive report format

Analysts who are CFA Institute members, however, have an additional and overriding responsibility to adhere tothe Code of Ethics and the Standards of Professional Conduct in all activities pertaining to their research reports

The analyst must hold himself accountable to both standards of competence and standards of conduct

An effective research report

29. Equity Valuation. Applications and Processes - Part 1 - CFA Mind Maps Level 2 - 2016 - Copyright by WAY TO FINANCE SUCCESS

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The term “business model” refersgenerally to how a company makesmoney

Need sensitivityanalysis

29. Equity Valuation:Applications and Processes -Part 2: The Valuation Process

Understanding the business

Industry andCompetitive Analysis

is to understand the basic characteristics of the markets served by a company and the economics of the company

Use variousframeworks

Usefulness

give appropriate attention tothe most important economicdrivers of a business

to organize thoughts about an industry and to better understand a company’sprospects for success in competition with other companies in that industry

to highlight the greatest challenges and opportunities need more sensitivity analysis ?

How is a usefulframework? Focuson these questions

How attractive are the industries in whichthe company operates, in terms of offeringprospects for sustained profitability

Try to understand the industry structure

Porter 5 forces

Stay current on facts and news concerning all the industries

What is the company’srelative competitive positionwithin its industry, and whatis its competitive strategy

The level and trend of the company’s market share indicateits relative competitive position within an industry

Corporate strategies

Cost leadership

Differentiation

Focus

How well has the companyexecuted its strategy and what areits prospects for future execution

Analyzing the company’s financialreport to evaluate the company'sstrategic objectives' performancesand develop expectations to it

Historical analysis to haveits insights through time

Looking annual reportsfor 10, 5, 2 years prior

2 caveats merit mentionimportance of qualitative (non-numeric factors)

avoid simply extrapolating past operatingresults when forecasting future performance

Analysis of Financial Reports

most relevant for evaluating a company’ssuccess in implementing strategic choices

Financial ratio analysis is useful for established companies

Individual drivers of profitability for merchandising and manufacturing companiescan be evaluated against the company’s stated strategic objectives

Sources of Information

Analysts can compare the information provided directlyby companies to their own independent research

Regulatory requirements concerning disclosures and filings vary internationally

Be aware when regulations (e.g., Regulation FD in the United States) prohibit companies from disclosingmaterial nonpublic information to analysts without also disseminating that information to the public

Considerations in UsingAccounting Information

Quality of earnings analysis

The scrutiny of all financial statements, including the balance sheet,to evaluate both the sustainability of the companies’ performanceand how accurately the reported information reflects economic reality

Also require careful scrutiny ofaccounting statements, footnotes,and other relevant disclosure

Equity analysts: develop better insights into a company and improve forecast accuracy

Sustainability of performance: identify aspects of reported nonrecurring performance

Identify reporting decisions that may result in a levelof reported earnings that are unlikely to continue

comparison of a company’s netincome with its operating cash flow

A working selection of risk factors (AICPA 2002) (in case growth inan asset account at a much faster rate than the growth rate of sales

Poor quality of accounting disclosures, such as segment information, acquisitions,accounting policies and assumptions, and a lack of discussion of negative factors.

Existence of relatedparty transactions

Existence of excessive officer, employee, or director loans

High management or director turnover

Excessive pressure on company personnel to make revenue or earnings targets,particularly when combined with a dominant, aggressive management team or individual

Material non-audit services performed by audit firm

Reported (through regulatory filings) disputes with and/or changes in auditors

Management and/or directors’ compensation tied to profitability or stock price(through ownership or compensation plans). Although such arrangements areusually desirable, they can be a risk factor for aggressive financial reporting.

Economic, industry, or companyspecific pressures on profitability,such as loss of market share or declining margins

Management pressure to meet debt covenants or earnings expectations

A history of securities law violations, reporting violations, or persistent late filings

Forecasting Company Performance Two perspectives

The economic environmentTop-down forecasting

Approach moves from international and national macroeconomic forecaststo industry forecasts and then to individual company and asset forecasts

Bottom-up forecasting Approach aggregates forecasts at a micro level to larger scale forecasts, under specific assumptions

The company’s own operating and financial characteristics Consider qualitative as well as quantitative factors

Selecting the Appropriate Valuation Model

Absolute Valuation Models

Def. a model that specifies an asset’s intrinsic value

used to produce an estimate of value that canbe compared with the asset’s market price

The fundamentalapproach toequity valuation

The value of an asset to an investor must be related to thereturns that investor expects to receive from holding that asset.

For commonstock: Dividenddiscount models

Analysts frequentlydefine cash flows atthe company level

Free cash flowto equity model

Defines cash flow net ofpayments to providers of debt

Free cash flowto the firmDefines cash flows before those payments

Residual income model

Based on accrual accountingearnings in excess of the opportunitycost of generating those earnings

Greater uncertainty thanthe case with bonds due to

its CFs and discount rate

need to address other issues, such asthe value of corporate control or thevalue of unused assets

Applied to bond valuationNot as uncertain as common stock

A stream of cash payments specified ina legal contract (the bond indenture)

A discount rate can usually be based onmarket interest rates and bond ratings

Asset-based valuation

Values a company on the basis of the marketvalue of the assets or resources it controlsCan provide an independent estimate of value

Relative Valuation Models

Def. estimate an asset’s value relative to that of another assetUnderlying idea: similar assets should sell at similar prices

How?using price multiples

ratios of stock price to a fundamentalsuch as cash flow per shareP/E

Undervalue

Relatively undervalue

enterprise multiples

ratios of the total value of common stock and debt net of cash and shortterm investmentsto certain of a company’s operating assets to a fundamental such as operating earnings

The more conservative investing strategies involve overweighting (underweighting)relatively undervalued (overvalued) assets, with reference to benchmark weights

The more aggressive strategies allow shortselling of perceived overvalued assets

Relative value investing (or relative spreadinvesting, if using implied discount factors)

Pairs trading: buying the relatively undervaluedstock and selling short the relatively overvalued stock

Frequently involve a groupof comparison assets

The method of comparables is characterized bya wide range of possible implementation choices

does not specify intrinsic value without making the furtherassumption that the comparison asset is fairly valued

being simple, related to market prices, andgrounded in a sound economic principle

Valuation of the Total Entityand Its Components

Sum-of-the-partsvaluation

Sums the estimated values of each of thecompany’s businesses as if each businesswere an independent going concern

The value derived using asum-of-the-parts valuation

Breakup value orprivate market value

When to use

Value a company with segments in different industriesthat have different valuation characteristics

evaluate the value that might be unlocked in a restructuring througha spinoff, splitoff, tracking stock, or equity (IPO) carveout

Conglomerate discount

The market applies a discount to the stock of a companyoperating in multiple, unrelated businesses compared tothe stock of companies with narrower focuses

Alternative explanation

inefficiency of internal capital markets

endogenous factors

research measurement errors

A breakup value in excess of a company’s unadjusted goingconcernvalue may prompt strategic actions such as a divestiture or spin-off

Issues in Model Selectionand Interpretation

Criteria for model selection arethat the valuation model be

consistent with the characteristicsof the company being valued

having a good understandingof the business

understanding the nature of its assets andhow it uses those assets to create value

appropriate given the availability and quality of data

consistent with the purpose of valuation, including the analyst’s perspective

Professionals frequently use multiple valuationmodels or factors in common stock selection

Converting Forecaststo a ValuationTwo important aspects

Sensitivity analysisto determine how changes in an assumedinput would affect the outcome

E.g when assess how a change in assumptions about a company’sfuture growth or analyze how different competitive responseswould affect the forecasted financials and the estimated valuation

Situational adjustments

control premiumsthe value of a stock investment

lack of marketability discountsthe value of nonpublicly traded stocks

illiquidity discounts

the prices of shares with less depth to their markets

an investor wishes to sell an amount of stock that is large relative to that stock’strading volume (assuming it is not large enough to constitute a controlling ownership)

blockage factorThe price that would be lower than themarket price for a smaller amount of stock

Applying the Valuation Conclusion:The Analyst’s Role and Responsibilities

The purposes and the intendedconsumer of the valuation

Valuation judgments to distribute to current andprospective retail and institutional brokerage clients

Sell-side analyst: Analystswho work at brokerage firms

Valuation judgments to a portfolio manager or to aninvestment committee as input to an investment decisionBuy-side analysts

Investment discipline (securityselection) and quantitativeinvestment disciplines

Both corporate analysts and investment bank analysts may alsoidentify and value companies that could become acquisition targets

Analysts at independent vendors of financial information usually offervaluation information and opinions in publicly distributed research reports

Investment analysts play a critical role in collecting, organizing, analyzing,and communicating corporate information, and in some contexts,recommending appropriate investment actions based on sound analysis

Help their clients achieve their investment objectives

Contribute to the efficient functioning of capital markets

Benefit the suppliers of capital, including shareholders, whenthey are effective monitors of management’s performance

Present value models(discounted CF models)

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39. Private RealEstate Investments:

An Overview

INTRODUCTION

REAL ESTATE INVESTMENT: BASIC FORMS

REAL ESTATE: CHARACTERISTICS AND CLASSIFICATIONS

PRIVATE MARKET REAL ESTATE EQUITY INVESTMENTS

THE COST AND SALES COMPARISON APPROACHES TO VALUATION

OVERVIEW OF THE VALUATIONOF COMMERCIAL REAL ESTATETHE INCOME APPROACH TO VALUATION

RECONCILIATION

DUE DILIGENCE

VALUATION IN AN INTERNATIONAL CONTEXT

INDICES

PRIVATE MARKET REAL ESTATE DEBT

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39. Private Real EstateInvestments - Part 1

INTRODUCTIONPrivate equity investment: sometimesreferred to as direct ownership

often included in the portfolios of investors with long-term investmenthorizons and with the ability to tolerate relatively lower liquidity

Publicly traded debt investment:sometimes referred to as indirect lending

suitable for investors with short investment horizons and higher liquidity needs

REAL ESTATE INVESTMENT:BASIC FORMS

Investment in real estate has been defined from a capital market perspectivein the context of quadrants which are a result of two dimensions of investment

The first dimension: whether the investmentis made in the private or public market

The second dimension: whether the investmentis made in the private or public market

Four quadrantsPrivate real estate investment, compared with publicly traded real estate investment, typicallyinvolves larger investments because of the indivisibility of real estate property and is more illiquid

Publicly traded real estate investment allows the real estate property toremain undivided but the ownership or claim on the property to be dividedEquity investors generally expect a higher rate of return than lenders (debt investors) because they take on more risk

Debt investors in real estate, whether through private or public markets, expect to receive their return frompromised cash flows and typically do not participate in any appreciation in value of the underlying real estate

REAL ESTATE: CHARACTERISTICSAND CLASSIFICATIONS

Characteristics

Heterogeneity and fixed location

High unit value

Management intensive

High transaction costs

Depreciation

Need for debt capital

Illiquidity:

Price determination

Residential properties: single-family housesand multi-family properties, properties thatprovide housing for individuals or families

Single-family properties may beowner-occupied or rental properties

Multi-family properties are rental properties even ifthe owner or manager occupies one of the units

Multifamily housing is usually differentiatedby location and shape of structure

Commercial real estate properties

Properties purchased with theintent to let, lease, or rent

Office

Industrial and warehouse

Retail

Hospitality

Other types

PRIVATE MARKET REAL ESTATEEQUITY INVESTMENTS

Motivations

Current income

Price appreciation (capital appreciation)

Inflation hedge

Diversification

Tax Benefits

Risk Factors

Characteristic sources of risk or riskfactors of real estate investment

Business conditions

Long lead time for new development

Cost and availability of capital

Unexpected inflation

Demographics

Lack of liquidity

Environmental

Availability of information

Management

Leverage

Other risk factors

Real Estate Risk and ReturnRelative to Stocks and Bonds

Risk and return of equity real estate investments is affected by the characteristics ofreal estate and the risk factors, structure of leases between the owner and tenants

Commercial Real Estate

Office

The demand for office depends heavily on employment growth

The average length of an office building lease varies globally

An important consideration in office leases is whether theowner or tenant incurs the risk of operating expenses

“net lease” requires the tenant to beresponsible for paying operating expenses

“gross lease” requires the ownerto pay the operating expenses

Not all office leases are structured as net or gross leases

There are differences in how leases are structured over time and in different countries

Industrial and Warehouse

The demand for industrial and warehouse space is heavily dependent on the overall strengthof the economy and economic growth and on import and export activity in the economy

Retail

The demand depends heavily on trends in consumer spending. Consumer spending, in turn,depends on the health of the economy, job growth, population growth, and savings rates

“Percentage lease”: the requirement that the tenants pay additional rent once their sales reach a certain level

The lease will typically specify a “minimum rent” that must be paid regar dless of the tenant’s salesand the basis for calculating percentage rent once the tenant’s sales reach a certain level or breakpoint

Multi-Family

The demand for multi-familyspace depends on

population growth, especially for the age segment most likely to rent apartments

how the cost of renting compares with the cost ofowning-that is, the ratio of home prices to rents

THE COST AND SALES COMPARISONAPPROACHES TO VALUATION

The Cost Approach

Types of depreciation

Physical deterioration related to the ageof the property because components of theproperty wear out over time. Two types

curable: fixing the problem will add value thatis at least as great as the cost of the cure

incurable: Fixing a structural problem with the foundationof the building may cost more to cure than the amountthat it would increase the value of the property if cured

Functional obsolescence: a loss in value due to a design that is different from that of anew building constructed with an appropriate design for the intended use of the property

External obsolescence: due to either the location ofthe property or economic conditions, results whenthe location is not optimal for the property

Locational obsolescence results whenthe location is not optimal for the property

Economic obsolescence results when new constructionis not feasible under current economic conditions

The Sales Comparison Approach

The sales comparison approach implicitly assumes that the value of a propertydepends on what other comparable properties are selling for in the current market

Advantages and Disadvantages of theCost and Sales Comparison Approaches

OVERVIEW OF THE VALUATIONOF COMMERCIAL REAL ESTATE

Appraisals

Appraisals (estimates of value) are critical for such infrequently traded and unique assets as real estate properties

Value

Market value: can be thought of as the most probable sale price. It is what a typical investor is willing to pay for the property

There are other definitions of valuethat differ from market value

Investment value: the value to a particular investor, could be higher or lower than marketvalue depending on the particular investor’s motivations and how well the property fits into theinvestor’s portfolio, the investor’s risk tolerance, the investor’s tax circumstances, and so on.

Value in use: the value to a particular user

Introduction toValuation Approaches

Three different approaches

The income approach considers what price an investor would pay based on anexpected rate of return that is commensurate with the risk of the investment

The cost approach considers what it would cost to buy the land and construct a new property on the site thathas the same utility or functionality as the property being appraised (referred to as the subject property )

The sales comparison approach considers what similar or comparableproperties (comparables) transacted for in the current market

Highest and Best Use Highest and best use: the use that would result in the highest value for the land

The cost approach involves estimating the value of the building(s) based on adjusted replacement cost

The replacement cost is adjusted for different types of depreciation (loss in value) to arrive at a depreciated replacement cost

Non-residential properties include commercial propertiesother than multifamily properties, farmland, and timberland

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Classifications

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39. Private Real EstateInvestments - Part 2

THE INCOME APPROACHTO VALUATION

General Approach andNet Operating Income

There are two income approaches

the direct capitalization method

capitalizes the current NOI using a growth implicit capitalization rate

When the capitalization rate is applied to the forecasted first-yearNOI for the property, the implicit assumption is that the first-year NOIis representative of first-year NOI would be for similar properties

the DCF method

applies an explicit growth rate to construct an NOIstream from which a present value can be derived

Income can be projected either for the entire economic life of the property or for a typicalholding period with the assumption that the property will be sold at the end of the holding period

Calculating NOI

Rental income at full occupancy+ Other income (such as parking)

= Potential gross income (PGI)– Vacancy and collection loss

= Effective gross income (EGI)– Operating expenses (OE)

= Net operating income (NOI)

The Capitalization Rate and the Discount Rate

The cap rate is like a current yield for the property whereasthe discount rate is applied to current and future NOI

Cap rate = Discount rate - Growth rate

Defining the Capitalization Rate

Cap rate = NOI/Value

going-in cap rate is used to clarify that it is based on the firstyear of ownership when the investor is going into the deal

terminal cap rate is based on expected income forthe year after the anticipated sale of the property

Value = NOI/Cap rate

observing what other similar or comparableproperties are selling for to know the cap rate

Cap rate = NOI/Sale price of comparable

Market value = Rent/ARY ARY: all risks yield

Stabilized NOI

If NOI is not representative of the NOI of similar properties becauseof a temporary issue, the subject property's NOI should be stabilized

Other Forms of the Income Approach

Gross income multiplier: the ratio of the sale price to the grossincome expected from the property in the first year after sale

The problem of gross income multipler: not explicitlyconsider vacancy rates and operating expenses

The Discounted CashFlow (DCF) Method

The Relationship betweenDiscount Rate and Cap Rate

If the growth rate is constant V = NOI/(r – g)

If NOI is not expected to grow at a constant rate, then NOIs are projected intothe future and each period’s NOI is discounted to arrive at a value of the property

The Terminal Capitalization Rate

The cap rate used to estimate the resale price or terminal valueis referred to as a terminal cap rate or residual cap rate

It is a cap rate that is selected at the time of valuation to be applied to the NOIearned in the first year after the property is expected to be sold to a new buyer

The terminal cap rate could be the same, higher, orlower than the goingin cap rate depending on expecteddiscount and growth rates at the time of sale

If interest rates are expected to be higher in thefuture => terminal cap rates might be higher

The growth rate is often assumed to be a littlelower => a slightly higher terminal cap rate

Uncertainty about what the NOI will be in the futuremay also result in selecting a higher terminal cap rate

Adapting to Different Lease Structures

Lease structures vary across locales and can have an effecton the way value is typically estimated in a specific locale

The Equivalent Yield

The “equivalent yield” is a single discount rate that could be appliedmathematically to both income streams that would result in the same value

Advanced DCF:Lease-by-Lease Analysis

The general s teps to a DCFanalysis are as follows

Project income from existing leases

Make assumptionsabout lease renewals

Assumptions also have to be made about what will happen when a leasecomes up for renewal—often referred to as market leasing assumptions

Make assumptions aboutoperating expenses

Operating expenses involve items that must be paid by the owner, such asproperty taxes, insurance, maintenance, management, marketing, and utilities

Make assumptions aboutcapital expenditures such as a new heating and air conditioning system or replacing a roof, etc.,

Make assumptions about absorption of any vacant space

Estimate resale value (reversion) how long the property will be held by the initial investor

Select discount rate to find PV of cash flows

Advantages and Disadvantagesof the Income Approach

Advantage: it captures the cash flows that investors actually care about

D isadvantage is the amount of detailed information that is needed and the need to forecast what will happen inthe future even if it is just forecasting a growth rate for the NOI and not doing a detailed lease-by-lease analysis

Common Errors

The discount rate does not reflect the risk

Income growth is greater than expense growth

The terminal cap rate is not logical compared with the implied going-in cap rate

The terminal cap rate is applied to an income that is not typical

The cyclical nature of real estate markets is not recognized

RECONCILIATION

Three different approaches to valuation: the income, cost, and sales comparison approaches may produce the different answers due to imperfections in the data and inefficiencies in the market

The appraiser needs to reconcile the differences and arrive at a final conclusion about the valueThe purpose of reconciliation is to decide which approach or approaches you have the most confidence in and come up with a final estimate of value

In an active market: sales comparison approach is preferred

When there are fewer transactions: income approach is preferred

DUE DILIGENCE

To verify other facts and conditions that might affect the value of the property and that might not have been identified by the appraiser

E.g

Review the leases for the major tenants and review the history of rental payments and any defaults or late payments.

Get copies of bills for operating expenses, such as utility expenses.

Look at cash flow statements of the previous owner for operating expenses and revenues.

Have an environmental inspection to be sure there are no issues, such as a contaminant material on the site.

Have a physical/engineering inspection to be sure there are no structural issues with the propertyand to check the condition of the building systems, structures, foundation, and adequacy of utilities.

Have an attorney or appropriate party review the ownership history to be sure there are no issues relatedto the seller’s ability to transfer free and clear title that is not subject to any previously unidentified liens.

Review service and maintenance agreements to determine whether there are recurring problems.

Have a property survey to determine whether the physical improvements are in the boundarylines of the site and to find out if there are any easements that would affect the value.

Verify that the property is compliant with zoning, environmental regulations, parking ratios, and so on.

Verify that property taxes, insurance, special assessments, and so on, have been paid

VALUATION IN ANINTERNATIONAL CONTEXT

INDICES

Appraisal-Based Indices DisadvantagesAppraisal lag

May not capture the price increase until a quarter or more after it was reflected in transactions

Tend to smooth the index, have lower correlation with others => allocation to real estate would likely overestimated

How to adjust: unsmooth” the appraisalbased or use a transactionbased index when comparing real estate with other asset classes

Transaction-Based Indices

In recent years, indices have been created that are based on actual transactions rather than appraised values

Two main waysA repeat sales index relies on repeat sales of the same property

A hedonic index which requires only one sale

Disadvantages Include random elements in the observations => may be upward or downward movements from quarter to quarter that are somewhat random

PRIVATE MARKET REAL ESTATE DEBT

The maximum amount of debt that an investor can obtain on commercial real estate is usually limited by either the ratioof the loan to the appraised value of the property (loan to value or LTV) or the debt service coverage ratio (DSCR)

The debt service coverage ratio is the ratio of the firstyear NOI to the loan paymentDSCR = NOI/Debt service

The Direct Capitalization Method

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Return = {NOI Capital expenditures + (Ending market value Beginning market value )}/Beginning market value

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48. Futures Markets andContracts: An Overview

FUTURE CONTRACTS

FUTURES PRICE & THE VALUEOF A FUTURES CONTRACT

WHY FORWARD ANDFUTURES PRICES DIFFER

MONETARY & NONMONETARY BENEFITS AND COSTSASSOCIATED WITH HOLDING THE UNDERLYINGASSET AND THEIR EFFECTS TO FUTURES PRICE

THE RELATION BETWEEN FUTURESPRICES AND EXPECTED SPOT PRICES

PRICING EURODOLLAR FUTURES, TREASURY BONDFUTURES, STOCK INDEX AND CURRENCY FUTURES

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should be the same as that of a forward contract

48. Futures Marketsand Contracts - Part 1

FUTURE CONTRACTS

Similar to forwardcontracts in

Deliverable contracts obligate the long to buy and the short to sell a certain quantity of an asset for a certain price on a specified future date

Cash settlement contracts are settled by paying the contract value in cash on the expiration date

Both forwards and futures are priced to have zero value at the time the investor enters into the contract

Different fromforward contracts

Futures are marked to market at the end of every trading day. Forward contracts are not marked to market

Futures contracts trade on organized exchanges. Forwards are private contracts and do not trade on organized exchanges

Futures contracts are highly standardized. Forwards are customized contracts satisfying the needs of the parties involved

Forwards are contracts with the originating counterparty; a specialized entity called a clearinghouse is the counterparty to all futures contracts

Forward contracts are usually not regulated. The government having legal jurisdiction regulates futures markets

FUTURES PRICE & THE VALUEOF A FUTURES CONTRACT

Futures price must convergeto the spot price at expiration

At expiration, the spot price must equal the futures price because the futures pricehas become the price today for delivery today, which is the same as the spot.

Arbitrage will force the prices tobe the same at contract expiration

Future margins andmarking to market

Futures margin is aperformance guarantee

The clearinghouse guarantees that traders in the futures market will honor theirobligations by splitting each trade once it is made and acting as the oppositeside of each position => To safeguard the clearinghouse, both sides of the tradeare required to post margin and settle their accounts on a daily basis

Marking to market is the process of adjusting the margin balance in a futures account each day forthe change in the value of the contract from the previous trading day, based on the settlement price

Value of afutures contract

Has no value at contract initiation

Does not accumulate value changes over the term of the contract.

The value after the margin deposit has been adjusted for the day's gains and losses in contract value is always zero

The futures price at any point in time is the price that makes the value of a new contract equal to zero

The value of a futures contract strays from zero only during the trading periods between the times at which the account is marked to market

Value of futures contract = current futures price - previous mark-to-market price

If the futures price increases, the value of the long position increases

WHY FORWARD ANDFUTURES PRICES DIFFER

The no-arbitrage price of a futures contractFP = futures priceSo = spot price at inception of the contract ( t = 0)Rf = annual risk-free rateT = futures contract term in years

Cases that causes futures andforward prices to be different

If investors prefer the mark-to-market feature of futures, futures prices will be higher than forward prices

If investors would rather hold a forward contract to avoid the marking to marketof a futures contract, the forward price would be higher than the futures price

Future arbitrage

Cash-and-carry arbitrage

A cash-and-carry arbitrage consists of buying the asset, storing/holding theasset, and selling the asset at the futures price when the contract expires

Steps

At the initiation of the contract

Borrow money for the term of the contract at market interest rates

Buy the underlying asset at the spot price

Sell (go short) a futures contract at the current futures price

At contract expirationDeliver the asset and receive the futures contract price

Repay the loan plus interest

If the futures contract is overpriced => generate a riskless profit

The futures contract is overpriced if the actual market price is greater than the no-arbitrage price

Reverse cash-and-carry arbitrage

When the futures price is too low (which presents a profitable arbitrage opportunity)

Steps

At the initiation of the contract

Sell the asset short

Lend the short sale proceeds at market interest rates

Buy (go long) the futures contract at the market price

At contract expirationCollect the loan proceeds

Take delivery of the asset for the futures price and cover the short sale commitment

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48. Futures Marketsand Contracts - Part 2

MONETARY AND NONMONETARYBENEFITS AND COSTS ASSOCIATED WITHHOLDING THE UNDERLYING ASSET ANDTHEIR EFFECTS TO FUTURES PRICE

Any positive costs associated with storing or holding the asset in a cash and carry arbitrage will increase the no-arbitrage futures price

A monetary benefit from holding the assetwill decrease the no-arbitrage futures price

E.g., Financial assets: no storage costs other than the opportunity cost of the funds

Convenience yield: The return from non-monetary benefits which come from holding an asset in short supply

The no-arbitrage futures price counting net costsnet costs (NC) = storage costs - convenience yield

FV (NC)= future value, at contract expiration, of the net costs of holding the asset

The no-arbitrage futures price counting net benefitsNB = yield on the asset + convenience yield

FV (NB) = future value, at contract expiration, of the net benefits of holding the asset

THE RELATION BETWEENFUTURES PRICES ANDEXPECTED SPOT PRICES

Backwardation and contago

Backwardation

refers to a situation where the futures price is below the spot price

to occur, there must be a significant benefit to holdingthe asset, either monetary or non-monetary

E.g., benefits to holding the asset that offset the opportunity cost ofholding the asset (the risk-free rate) and additional net holding costs

Contangorefers to a situation where the futures price is above the spot price

happens when there is no benefits to holding the asset, the futures price will be

If both parties to a futures transaction are hedging existing risk,the futures price may be equal to expected future spot prices

The futures price might be temporarily above or below expected futurespot prices, but it would be an unbiased predictor of future spot rates

Normal backwardationhappens when the futures price is lower than the expected price in the future to compensate the future buyer for accepting asset price risk

Normal contangohappens when the futures price is greater than the expected spot price

The most likely situation in financial markets is normal backwardation

Eurodollar, Treasury Bonds, StockIndex, and Currency Futures

Eurodollar

similar to a forward rate agreement to lend US$1,000,000 for three months beginning on the contract settlement date

based on 90-day LIBOR, which is an add-on yield

the price quotes are calculated as (100 - annualized LIBOR in percent)

the minimum price change is one "tick," which is a price change of 0.0001 = 0.01 %

Treasury Bonds

traded for T-bonds with a maturity of 15 years or more

the contract is deliverable with a face value of $100,000

T-bond futures are quoted as a percent and fractions of 1 % (measured in 1/32nds) of face value

each bond is given a conversion factor (multiplier) that is used to adjust the long's payment at delivery

Stock index futures

based on the level of an equity index

most popular stock index future is the S&P 500

settlement is in cash and is based on a multiplier of 250

Currency Futures In the United States, currency contracts trade on the euro, Mexican peso, and yen, among others

Treasury Bill Futures Pricing

Treasury bill (T-bill) futures contracts are based on a $1 million face value 90-day (13-week) T-bill, and they settle in cash

The price quotes are 100 minus the annualized discount in percent on the T-bills

T-bill futures are priced using the no-arbitrage principle

PRICING EURODOLLAR FUTURES,TREASURY BOND FUTURES, STOCKINDEX AND CURRENCY FUTURES

Eurodollar futures

Eurodollar futures are priced as a discount yield, and LIBOR-based deposits are priced as an add-on yield=> The result is that the deposit value is not perfectly hedged by the Eurodollar contract=> Eurodollar futures can't be priced using the standard no-arbitrage framework

Treasury Bond Futures

The no-arbitrage futures price for a T-bond contractFVC: the future value of the coupon payments

The futures price that insures a cash-and-carry arbitrage would provide no profit is lower thanwithout the cash flows Because the cost to hold the asset is reduced by the asset cash flows

T-bond futures prices must be adjusted to conform to the price forthe bond that is cheapest to deliver, using its conversion factor (CF)

Stock futures

The no-arbitrage futures price adjusted for the future value ofthe dividends (FVD) or present value of the dividends (PVD)

Equity Index Futures The no-arbitrage futures price

Currency Futures

The price of currency futures DC = domestic currencyFC = foreign currency

In continuous time it is

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49. Option Markets andContracts: An Overview

PUT-CALL PARITY FOR EUROPEAN OPTIONS

SYNTHETIC CALL/PUT OPTION, BOND AND UNDERLYING STOCK

ONE- AND TWO-PERIOD BINOMIAL MODELS TOCALCULATE AND INTERPRET PRICES OF INTERESTRATE OPTIONS AND OPTIONS ON ASSETS

ASSUMPTIONS UNDERLYING THEBLACK-SCHOLES-MERTION MODEL

A CHANGE IN THE VALUE OF EACH INPUT AFFECTS THE OPTIONPRICE (UNDER THE BLACK-SCHOLES-MERTION MODEL)

THE DELTA OF AN OPTION ANDITS USE IN DYNAMIC HEDGING

EFFECT OF THE UNDERLYING ASSET'S CASHFLOWS ON THE PRICE OF AN OPTION

THE HISTORICAL AND IMPLIEDVOLATILITIES OF AN UNDERLYING ASSET

PUT-CALL PARITY FOR FORWARD/FUTURES OPTIONS

AMERICAN/EUROPEAN OPTIONS ON FUTURES AND FORWARDSAND APPROPRIATE PRICING MODEL FOR EUROPEAN OPTIONS

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49. Option Marketsand Contracts - Part 1

PUT-CALL PARITY FOR EUROPEAN OPTIONS

A fiduciary call

A long position in a European call option with an exercise price of X that matures in T years on a stock (with a price at time t of S t)

A long position in a pure-discount riskless bond that pays X in T years

A protective put

A long position in a European put option with an exercise price of X that matures in T years

A long position in the underlying stock

SYNTHETIC CALL/PUT OPTION,BOND AND UNDERLYING STOCK

That the cost of a fiduciary call must be equal to the cost of a protective up

+: long position- : short position

A synthetic Europeancall option is formed by

Buying a European put option on the same stock with the same exercise price (X) and the same maturity (T)

Buying the stock

Shorting (i.e., borrowing) the present value of X worth of a pure-discount riskless bond

A synthetic Europeanput option is formed by

Buying a European call option

Shorting the stock

Buying (i.e., investing in) the discount bond

A synthetic stockposition is formed by

Buying a European call option

Shorting (i.e., writing) a European put option

Buying (i.e., investing in) the discount bond

A synthetic pure-discountriskless bond is created by

Buying a European put option

Buying the stock

Shorting (i.e., writing) a European call option

Two reasons to create syntheticpositions in the securities

To price options by using combinations of other instruments with known prices

To earn arbitrage profits by exploiting relative mispricing among the four securities

Using put-call parity for arbitrage

If put-call parity doesn't hold (if the cost of a fiduciary call does not equal the cost of a protectiveput), buy (go long in) the underpriced position and sell (go short) in the overpriced position

ONE- AND TWO-PERIOD BINOMIALMODELS TO CALCULATE ANDINTERPRET PRICES OF INTEREST RATEOPTIONS AND OPTIONS ON ASSETS

One-Period Binomial Model

D=risk-neutral probability of an down-move = 1 - U

Rf = risk-free rateU = size of an up-moveD = size of a down-move

Calculate the value ofan option on the stock

Calculating the payoff of the option at maturityin both the up-move and down-move states

Calculating the expected value of the option in one year asthe probability-weighted average of the payoffs in each state

Discounting the expected value back to today at the risk-free rate

Arbitrage with one-periodbinomial model

provides the information required to calculate a hedge ratio(the fractional share of stock in the arbitrage trade)

Two-Period Binomial Model

Steps to valuean option

Calculate the stock values at the end of two periods (there are three possible outcomesbecause an up-then-down move gets you to the same place as a down-then-up move)

Calculate three possible option payoffs at the end of two periods

Calculate the expected option values at the end of twoperiods (t = 2) using the up-and down-move probabilities

Discount the expected option values (t = 2) back one period at the risk-freerate to find the option values at the end of the first period (t = 1)

Calculate the expected option value at the end of oneperiod (t = 1) using up-and down-move probabilities

Discount the expected option value at the end of one period (t = 1)back one period at the risk-free rate to find the option value today

Binomial interestrate trees

is the set of possible interest rate paths that are used to value bonds with a binomial model

the underlying rule governing theconstruction of an interest rate tree

the values for on-the-run issuesgenerated using an interest rate treeshould prohibit arbitrage opportunities

the interest rate tree must maintain the interestrate volatility assumption of the underlying model

Options on FixedIncome Securities

There are three basic steps to valuing an optionon a fixed-income instrument using a binomial tree

price the bond at each node using projected interest rates

calculate the intrinsic value of the option at each node at maturity of the option, and

calculate the value of the option today

Options on Interest Rates:Caps and Floors

The value of an interest rate cap or floor is the sum of the values of the individual caplets or floorlets

Expiration value of caplet

Expiration value of floorlet

As the period covered by a binomial model is divided into arbitrarily small, discrete time periods, the model results converge to those of the continuous-time model

ASSUMPTIONS UNDERLYING THEBLACK-SCHOLES-MERTION MODEL

The Black-Scholes-Merton (BSM) model values options in continuous time and is derived from the same no-arbitrage assumption used to value options with the binomial model

To derive the BSM model, an "instantaneously" riskless portfolio is used to solve for the option price based on the same logic

Assumptions and Limitations

The price of the underlying asset follows a lognormal distribution

The (continuous) risk-freerate is constant and known Limitation: The BSM model is not useful for pricing options on bond prices and interest rates

The volatility of the underlyingasset is constant and known

In practice, the volatility is not known and must be estimated. The bigger problem is thatvolatility is often not constant over time and the BSM model is not useful in these situations

Markets are "frictionless" Model is less realistic and less useful

The underlying asset generates no cash flows

The BSM model can be easily altered if we relax theassumption of no cash flows on the underlying asset

The options are European

The model does not correctly price American options. Binomial optionpricing models are more appropriate for pricing American options

The formula for the BSM model

Use put-call parity to calculate the put value

Put-call parity for European options

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49. Option Marketsand Contracts - Part 2

A CHANGE IN THE VALUE OFEACH INPUT AFFECTS THEOPTION PRICE (UNDER THEBLACK-SCHOLES-MERTIONMODEL)

A Greek is a sensitivity factor that captures the relationship between each input (assetprice, asset price volatility, time to expiration, and the risk-free rate) the option price

Delta describes the relationship between asset price and option price

Vega measures the sensitivity of the option price to changesin the volatility of returns on the underlying asset

Rho measures the sensitivity of the option price to changes in the risk-free rate

Theta measures the sensitivity of the option price to the passage of time

theta is less than zero: as time passes and the optionapproaches the maturity date, its value decreases

THE DELTA OF AN OPTION ANDITS USE IN DYNAMIC HEDGING

Delta is the change in the price of an option for a one-unit change in the price of the underlying security C = change in the price of the call over a short time intervalS = change in the price of the underlying stock over a short time interval

Use BSM model to estimate the change in the value of the callgiven the change in the value of the stock and the option's delta

C N(d1) x SP (change in put price) [N(d1) - 1] x S

Interpreting Delta

A call option delta is between0 and 1. If the call option is

Out-of-the-money (stock price is less than exercise price), the call delta movescloser to 0 as time passes, assuming the underlying stock price doesn't change

In-the-money (stock price is greater than exercise price), the call delta movescloser to 1 as time passes, assuming the underlying stock price doesn't change

A put option delta is between-1 and 0. If the put option is

Out-of-the-money (stock price is greater than exercise price), the put delta movescloser to O as time passes, assuming the underlying stock price doesn't change

In-the-money (stock price is less than exercise price), the put delta movescloser to -1 as time passes, assuming the underlying stock price doesn't change

Dynamic Hedging

The goal of a delta-neutral portfolio (or delta-neutral hedge) is to combine a long position in a stock with a shortposition in a call option so that the value of the portfolio does not change when the value of the stock changes

Number of call options needed to delta hedge = number of shares hedged/delta of call option

Number of put options needed to delta hedge = number of shares/delta of the put option

The delta-neutral position only holds for very small changes in the value of the underlying stock=> must be continually rebalanced to maintain the hedge (a dynamic hedge) costly in terms of transaction costs

Gama effect

Gamma measures the rate of change in delta as the underlying stock price changes

can be viewed as a measure of how poorly a dynamic hedge will performwhen it is not rebalanced in response to a change in the asset price

Call and put options on the same underlying asset with the same exercise price and time to maturity will have equal gammas

Long positions in calls and puts have positive gammas

Gamma is largest when a call or put option is at-the-money and close to expiration

EFFECT OF THE UNDERLYINGASSET'S CASH FLOWS ONTHE PRICE OF AN OPTION

All else equal, the existence of cash flows on the underlying asset willDecrease the value of a call option

Increase the value of a put option

Put-call parity for options on underlying assets with cash flows by adjusting S for the present value of the cash flows (PVCF)

THE HISTORICAL ANDIMPLIED VOLATILITIES OFAN UNDERLYING ASSET

The steps in computing historical volatility for use as aninput in the BSM continuous-time options pricing model are

Step 1: Convert a time series of N prices to returns

Step 2: Convert the returns tocontinuously compounded returns

Step 3: Calculate the variance and standarddeviation of the continuously compounded returns

Implied volatility is the value for standard deviation of continuously compoundedrates of return that is "implied" by the market price of the option

when used in the Black-Scholes formula, it produces the current market price of the option

PUT-CALL PARITY FORFORWARD/FUTURES OPTIONSPut-call parity for options on forwards and futures is as follows

American options on futures are more valuable than European options because early exercise provides mark to market funds on the futures, which can earn interest

Americans and European options on forward contracts are equivalent because there is no mark to market

AMERICAN/EUROPEAN OPTIONSON FUTURES AND FORWARDSAND APPROPRIATE PRICINGMODEL FOR EUROPEAN OPTIONS

There is a benefit to early exercise of options on futures when they are deep in the money

Exercising the option (either a put or call) early will generate cash from the mark to market => cash can earninterest, while the futures position will gain or lose from movements in the futures price => these pricemovements between early exercise and option expiration will mirror those of the deep in the money option

With no reason for early exercise, the value of Americanand European options on forwards are the same

There is no mark to market on forwards, early exercise does not accelerate the payment of any gains

The Black model can be used to price European options on forwards and futures

= standard deviation of returns on the futures contractFT = futures price

American options on futures are more valuablethan comparable European options because

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