managerial economics introduction, basic principles february 17 – april 7, 2014 session 1 - 8

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MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

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Page 1: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

MANAGERIAL ECONOMICSINTRODUCTION, BASIC PRINCIPLES

February 17 – April 7, 2014Session 1 - 8

Page 2: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

a hypothetical case …

• What if Walmart came to central Europe?

• Get some basic facts about:

– the company– The environment – PESTLE, industry, market, competition

…– Go through the notes up ahead and try to tackle the

hypothetical question

Page 3: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Running a company? Or about to get started? Questions & worries exceed answers and security

• Running a company? Or about to get started? • More questions & worries than answers and security

– How does the economic environment look? What will it be like next and following years? Why?

• What about major econ indicators? -> past, present, future• What about the industry we are in?• What about the market and market segment(s) we are in?

Demand?• What about our decision-making capacity? Resources? Time?

Page 4: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Getting started?

Dealing w/issues from the 1st day of ops & even long before

– A great idea for a product?• because of nonexistence of a competitive product and reasonable

market for it? OR• Because of a huge market although product is NOT unique?

– let’s invest time to look at it …• From a strategic standpoint -> then analyze each factor

– Worth the time and making $ commitments? -> make $ & other types of investments?

• What to invest in? Why? Opportunity cost = vacation in Tahiti?• Where to get $? -> limited resources -> How to appraise the business?• What about Human Capital? Physical assets? Working capital?

Page 5: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Decision-making at all levels

• Short- & long-term risks and benefits to every choice for a course of action – your job to decide what to do

• Goal = increase firm’s value => TR – TC = π– Firm’s value = expected profit– FC=? VC=? (FC = fixed costs) (TR = total revenue)– TR=? -> market research? => demand for product? common sense?– Price-taker/maker (setter)? Mkt size = demand & competition?

• Maximize π = (max. TR) – (min. TC)

• Competitive advantage?

• Strategy? Remember strategic management?

Page 6: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Strategic Management ModelExisting Existing business model

Mission, vision, goals, objectives, corp. values

SWOT => Strategic

choice

External analysis ->

opportunities, threats

Internal analysis -> strengths,

weaknessesFunctional-level strategies

Business-level strategies

Corporate-level strategies

Strategy implementation

Page 7: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Strategic Management Cycle

Page 8: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Strategic management – mgmt for distant horizons = TOP MANAGEMENT

• Series of destinations which are coming closer with time for everyone– Where was the company yesterday? (if applicable)– Where is the company now ($, ext. environment, market)? What

conditions is it in (internally)?– Where will the company be tomorrow? vs. Where can the company

be tomorrow? vs. Where is the company likely to be tomorrow – if we do a, b, c, or nothing at all?

• Nothing happens by itself =>=> What are the business objectives? -> WHERE TO?=> What are the best ways to achieve these objectives? ->

HOW, WHEN?=> What resources are necessary to execute the plan? ->

w/WHAT & WHOM

Page 9: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

From top management down - decisions

• CEO, COO, CFO, CTO – make strategic decisions to optimize => choose between the BAD and WORSE but based on what?

• … on the outcome of analysis of stats data from middle-level management – accounting, $ dept, marketing, HR …

• External & internal environment modify the direction and

pace every day

Page 10: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Common managerial mistakes

• Never increase output just to reduce avg costs

• Grabbing a greater mkt share often times reduces π

• Do NOT maximize π margin -> it does NOT maximize total π

• Maximizing TR reduces π

• Minimizing HR costs => lowers productivity

Page 11: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

What assets do we have available?Corporate capital structure

• How do we finance the entire set of:- current operations &- continuity = growth

– Short-term & long-term debt• Issuing bonds• Long-term payables

– Common & preferred equity• Common stock – primary owners (shares) who benefit most• Preferred stock – fixed dividends + NO voting rights like common

shareholders• Retained earnings - $ to be reinvested or pay off debt (surplus

earned)

Page 12: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

What assets do we have available?Corporate capital structure

• How much cash-flow should we generate? Why?

• Current assets – used up (utilized) w/in 1 year period– Cash, acc receivables, inventory

• Fixed assets – source of benefits beyond 1-year horizon– Real property (building, real-estate), equipment

Page 13: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Corporate capital structure• Balance sheet (p.237, Exhibit 5-19)

– Liquidity – are we able to meet short-term $ obligations?– Solvency = liquidity with time-dependent factors –> long-term

• Title: International Financial Statement Analysis• Author: Robinson, Thomas

• Sample problem (p. 230, 231)– A & B .. current assets but:

• A … over 50% of assets = cash; B … 6% of assets = cash• A … no current lia’s; B … $2.5 mil of current lia’s !! (cash-flow

fluctuations = death unless B manages to collect receivables or issues more bonds or brings in investors)

• Title: International Financial Statement Analysis• Author: Robinson, Thomas

• Leverage = Little capital = big risk• Debt-to-equity ratio … financing by debt = risk of default• That is – using leverage to invest risky if the investment moves against you => loss is

greater than had the investment been made with equity

Page 14: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Annual reports

• Czech Airlines - annual report 2010 (p.94 - 95)• http://www.csa.cz/en/portal/quicklinks/news/vyrocnizpravy.htm

• Zappos - annual report 2009• http://www.slideshare.net/Devcorporate/zappos-financials-1781754

• BMW - annual report 2012• http://www.bmwgroup.com/e/0_0_www_bmwgroup_com/investor_relations/finanzberichte/ueberblick.shtml

• Your own start-up?• How do you set up your asset, lia, equity structure and why?

Page 15: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Revenues and costs overview

1. From the accounting perspective2. From the “production” perspective

• Maximize π = (max. TR) – (min. TC)

• How do we “know” how much $ we will be making and spending?– Market data - qualitative, quantitative …– Where does it come from?– Available for our product?– Time vs. $ to be invested to get such data– Reliability issues– Price-taker/maker (setter)? - mkt size = demand & competition?

Page 16: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Revenues and costs overviewRevenue Management & Planning

• Some businesses (industries) start off with loss, then swing into 0+ profits, then back to loss and then start making profit

– seasonality factors (ski-resorts, restaurants, hotels, airlines)

• Floating vs. fixed prices– analyzing micro-level consumer behavior and optimizing product

availability and prices => max. profit– dynamic revenue management planning => avg Ps, avg Qs and avg TC– airlines, hotels – choosing the right time to customize the product for

the customer (of our choice)

• Do all industries face seasonalities?

Page 17: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Revenues and costs overview

• Revenue recognition– $ before sale of good/service – unearned revenue– $ at the time of good/service delivery– Good/service before $ - receivables– Examples …

• Expense recognition– Matching principle

• expenses recognized when revenues are recognized

– Systematic allocation of costs –> in the absence of cause & effect• Periods in which benefits are provided -> costs = expenses (accounting)

– Immediate recognition• Costs recognized as expenses because they have no future benefit OR were

recorded as asset and benefits came to end OR neither matching no systematic allocation principles are not uselful

Page 18: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Accounting ratios

• Return on sales = Net profit margin– Net income / revenue– If costs have gone up faster than sales -> lower profit margin

• Operating profit margin– Operating profit / net sales– Profit margin before interest and taxes– Dynamic figures -> comparison needed

• Int’l Financial Statement Analysis – p. 180

Page 19: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Revenues and costs overview

• Plan for & minimize TC = FC + VC– Costing – ABC – activity-based costing– Maximize time and HR efficiencies -> productivity– MRP (material requirement planning) – current expenses

• Costs in short-run– Production function, VC, FC, diminishing marginal product, AC curves,

MC curves, TC, AVC, AP, MP, estimates …

• Costs in long-run– Production isoquants, isocost curves, optimum combination of inputs,

cost optimization (impossible in short-run), long-run vs. short-run …– Chapters 8 – 10 (pp. 284 – 386) – Managerial Economics foundations of business analysis and

strategy, tenth edition – Christopher R. Thomas, S. Charles, Maurice

Page 20: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Bakery – $ analysis

Page 21: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Bakery – $ analysis• Average per-unit VC … $0.35• Estimated monthly FC = $32,343• Profit .. month 1 = -$12,899, month 2 = -$8,289, month 3 = -$2,007,

month 4 -> 12 = $4,024

• B-E units sold per month … pcs ?– # of units to be sold in order to B-E from the start

• B-E revenue earned per month … $ ?– Revenue to be earned in order to B-E from the start

• Average per-unit B-E revenue … $ ?• ROE/ROI by ?th month of ops• Start-up working capital to survive?

Page 22: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Bakery – $ analysis

Page 23: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Bakery – sales & revenue plan

Page 24: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Answers

• B-E units sold per month … 17,255 pcs

• B-E revenue earned per month … $ 38,336

• Average per-unit B-E revenue … $ 2.22

• ROE/ROI by 9th month of ops

• Start-up working capital to survive = $ 23,195

Page 25: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Cost planning, control, analysis – reverse marketing?

• Start-up project/business – set your goals– Budget -> milestones -> operational level breakdown -> back-check ->

evaluation– Project manager OR CEO or executive level -> project manager ->

departments -> reporting to 1 level up at each level -> performance evaluation

• Established operations – objectives defined– Current balance of actual vs. planned expenses => adjust current

budget -> adjust $ for & timing of milestones -> re-adjust op level costs -> evaluation of cost-management performance

– Performance cycle complete -> report to 1 level up at each level -> performance evaluation

Page 26: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Cost planning, control, analysis – closer look

• Budgeting first– total $ available at beginning + new $ coming from external sources– then cost breakdown by milestones/time periods/activities– applying prices to the purchase/hire of inputs within a time frame:

• HR (aka Human Capital)• “raw” material – semi-finished products (tangible items vs. intangible

services)• Inflation, IR• Degree of cost assignment precision – how accurately are costs assigned

to items/activities

• Cost control– Degree of freedom and competency of decision-making at level– Instantaneous checks of actual against planned costs

Page 27: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Cost planning, control, analysis – closer look

• BuffersA. additional time needed for building a back-end mechanism of a

website:1. Individual ops took longer and/or2. Higher expenses incurred by supplier and/or3. Unexpected (unaccounted for) problems/issues occurred

B. Inflation, IR, loss of HR, dynamic developments on the market …

C. HR and legal aspects• Capacity to make decisions and take action• i.e. education (needed and/or required by law), experience

• Use precedent where possible

Page 28: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Cost planning, control, analysis – closer look

What happens if costs exceed $ available?

• Re-allocation / re-distribution of $:– within departments, items– at milestones

• Re-definition of objectives at each level

• More $ obtained– Depending on projected revenues & profits -> ROE, ROI …

Page 29: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Production and costs in the short-runIntro

• Long-run … Q = f (L, K, Ī)– L … variable labor– K … variable capital– Ī … pre-determined (fixed) input … $ investment made for months and years

ahead -> used for acquiring variable K and L over a period in future

• Short-run … Q = f (L, K¯ ) -> Q = f (L)– Capital is purchased for a period ahead -> output varies with varying input =

labor only

• Sunk costs– $ paid for an input and never recovered once the input is no longer needed

• Avoidable costs– $ for inputs we can recover or avoid paying if qty produced = 0

Page 30: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Production in the short-runIntro

• TP = Q, AP = Q/L• MP = ∆Q/∆L = dQ/dL

At Q = 3• dMP/dL = 0 … MP = max• TP starts growing at decreasing rate

At Q = 4• MP = AP• MP must be > AP for AP to grow• E.g. avg grade = 85 -> if you score

80 next time => avg grade drops

Law of diminishing MP• # of PC’s < # of PC employees + space

Page 31: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Production in the short-run Changes in fixed inputs

Buy 2 more PC’s & cars & office => TP (aka Y or Q) grows at any given point – i.e. with the same 5 employees -> # of cruises sold or # of lessons provided or widgets sold grows

Same principle as w/MC

Page 32: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Costs in short-run

TC = TFC + TVCAFC = TFC / Q AVC = TVC / Q

ATC = TC / Q = (TVC + TFC) / Q = = AVC + AFC

SMC = dTVC / dQ = dTC / dQ = dTFC / dQ + dTVC / dQ = 0 + dTVC / dQ

TVC = w x L TFC = r x KTC = wL + rK

AVC = (wL) / Q = (w x L) / (AP x L) = w / AP

SMC = d(wL) / dQ = w (dL / dQ) = w / MP … w is a constant

Page 33: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Sample problems

PROBLEM 1:Which of the following costs in the airline industry are FC, VC and quasi FC?a. Cost of in-flight good and beveragesb. Jet fuel expendituresc. Pilots’ wagesd. Monthly lease payments for aircraft (48-month term)e. Monthly fee for passenger check-in at its destinations

PROBLEM 2:Q = K²L²K is fixed in s-r at 2 units; cost of K is $3/unitL is a VC; its cost is $4/hourTC=?, production function = ?, L in terms of Q = ?, TFC = ?, TVC = ?, SMC = ?,ATC = ?, AVC = ?, AP = ?, MP = ?

Page 34: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Production and costs in the long-runIntro

Isoquant curves– all possible combinations of inputs physically capable of producing a

given fixed level of output

– MRTS … the rate at which L is substituted for K-> - (dK/dL) = MPL/MPK (K&L must be substitutable)

-> dQ = 0

Isocost curvesCombinations of inputs that may be purchased for a given $ expenditureat given input prices-> $400 budget -> w=$100, r=$50-> w falls to $50 or even $25-> TC = wL + rK => 400 = 25L + 50K

Page 35: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Production and costs in the long-runOptimal combination of inputs

Slope of isoquant = slope of isocost at optimum

Page 36: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Production and costs in the long-runOptimal combination of inputs

• Searching for:1. Cost minimization

a) Input combination that minimizes TC for a given production levelIf w = $40 and r = $60:

• at S … TC = 60L + 100K = (60x40) + (100x60) = $ 8,400• At Q … TC = (90x40) + (60x60) = $ 7,200 -> MRTS = w/r

b) MP approach to TC minimization -> comparison of MU (benefit) / dollar spent on each activity

- i.e. MU1 / P1 = MU2 / P2 ? -> which activity gives higher marginal benefit

- i.e. at optimal level -> MU1 / P1 = MU2 / P2 -> MRTS = MPL / MPK = w / r -> MPL / w = MPK / r

-> in numbers? What can we arrive at?

Page 37: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Production and costs in the long-runOptimal combination of inputs

2. Production maximization -> with a given budget for a given level of expenditure on resources -> i.e. looking for a highest level of production -> i.e. input combination that maximizes output given a TC (budget) is a combination for which:

MRTS = w/r … or … MPL/w = MPK / r-> suppose our budget is at EF -> S and L .. 2 of many combinations of inputs X & Y-> Q out = 400 units but we can do better than that

Page 38: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Production and costs in the long-runExpansion path

As you produce more -> path showing the cost-minimizing combination of inputs with K/L input-price ratio held constant

With fixed K -> only L may vary -> S-R expansion path is horizontal

With both K & L being variable:wL + rK($10 x 118) + ($20 x 91) = $ 3,000($10 x 148) + ($20 x 126) = $ 4,000Draw the expansion curve

Page 39: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Production and costs in the long-runExpansion path

Find L-R cost function:

Solve for K -> plug it into LR and solve for L -> us it to get K in terms of Q -> plug it into TC formula

Page 40: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Forces that affect costsin the long-run

Steering your expansion -> strategyE.g. bad market condx up ahead -> expected TR < TC … => FC and VC cuts by getting rid of facilities, machinery, vehicles and peopleE.g. booming business -> if economies of scale -> as output rises, LAC falls -> up to point where LMC crosses LAC (specialization & division of labor => higher productivity => lower unit costs)

Page 41: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Business expansion ?

• Economies of scope– Occurs when the joint cost of producing 2 or more goods/services is

less than the sum of the separate costs of producing the goods/services

• Buying economies of scale– Qty discounts on input prices – large buyers of inputs– i.e. LAC shifts downward at the point of discount

• Learning / experience economies– Cumulative output increases causing workers to become more

productive as they learn by doing => LAC shifts downward

Page 42: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Financing “your” business

• Shareholders and business owners wish to maximize their profits – in spite of long-term drawbacks (low re-investment)

=> EVA – Economic Value Added assessment=> pyramidal decomposition of performance indicators=> step-by-step decomposition of EVA down into performance indicators:

1. to reveal links and relationships amongst them2. to see which indicators have greatest influence on EVA

• One of possible ways:EVA = (ROE – re)*E

– re … cost of capital - E … equity

Complex computation -> determination of: WACC (weighted avg cost of capital -> re -> df (F1, F2, F3) = …

Page 43: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Cash $ planning ahead - cash-flow projections – e.g. freight-forwarder?

• Cash $ inflow & outflow -> balance for every period– By activities, ops– By deadlines– By milestones

• Payments and earnings known and accounted for– Operational level

• detailed schedule and plan of ops -> in, out, balance

• Ability to avoid insolvency -> capacity to make payments on:– Periodic invoices

• Phone bill, light bill, HR, production tangible inputs -> FC in long-term-> purchase dept.

– One-time purchases• website launch, ERP (pre-paid products, invoice … 2 – 4 weeks maturity)

– Variable current costs• fuel expenses, automobile maintenance, office supplies, bonuses paid out

Page 44: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Cash $ planning ahead - cash-flow projections – e.g. freight-forwarder?

• Ability to avoid insolvency -> capacity to collect revenues (varies among industries across countries):

– Pre-paid products win – cash $ in advance• Pro-forma invoice – different tax policies across countries• i.e. issuing PI for 100% amount and provide product upon receipt of $• The downside – costs incurred prior to the provision of good/service

– Invoices• Pro-forma invoice – e.g. CZ – possible to issue PI for 100% of the amount

and exclude it from taxes until the $ is received• Maturity dates –> 1 – 30 days after delivery• Worsening payment morale -> high receivables = THREAT

Page 45: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

Free Cash Flow - FCF

• Measuring $ performance = op cash flow – capital expenditures

– Cash $ that a firm is able to generate after the outflow of $ for maintenance/expansion of own assets

– Important for shareholders• shows how well a corporation is able to inject $ into R&D (new product

creation), make acquisitions, reduce debt, pay dividends

Page 46: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

$ investment planningdiscounted cash-flow

• CFt … cash flow in period t• r … discount rate• t … life of asset

IDEA:1. If asset value > 0 … expected cash flows must be > 0 over the life of the

asset2. Assets which generate CF earlier in their life will be worth more than

those that generate CF later

That is – taking into consideration the time value of $

Equity value .. obtained by discounting exp. CF to equityFirm value .. obtained by discounting exp. CF to the firm

Page 47: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

$ investment planningdiscounted cash-flow – sample problem #1

Initial investment = machinery + equipment = $8,320… expected to generate cash inflows:Year 1 .. $3,411 Year 2 .. $4,070 Year 3 .. $5,824 Year 4 .. $2,065

At the end of Year 4 .. we already have someone to buy machinery + equipment from us for $900

NPV = ? (net present value)Discount rate = 18%PV Factors:

Year 1 = 1 ÷ (1 + 18%)^1 ≈ 0.8475Year 2 = 1 ÷ (1 + 18%)^2 ≈ 0.7182Year 3 = 1 ÷ (1 + 18%)^3 ≈ 0.6086Year 4 = 1 ÷ (1 + 18%)^4 ≈ 0.5158

Page 48: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

$ investment planningdiscounted cash-flow – sample problem #1

YEAR 1Net Cash Inflow = $3,411Present Value Factor = 0.8475PV of CF = $2,891

YEAR 2 … NCI = $4,070 … PVF = 0.7182 … PV of CF = $2,923YEAR 3 … NCI = $5,824 … PVF = 0.6086 … PV of CF = $3,545YEAR 4 … NCI = $2,065 … PVF = 0.5158 … PV of CF = $1,529

PV of Cash inflows in total = $10,888Initial Investment = $8,320NPV = $2,568Do we include $900 we will sell the machinery and equipment for?

Page 49: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

$ investment planningdiscounted cash-flow – equity value

• Equity value .. obtained by discounting exp. CF to equity

– CF to Equity t .. expected CF to equity in period t– ke .. cost of equity

=> residual CF after meeting all expenses – tax obligations, interest pay’s, principal pay’s

Page 50: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

• Firm value .. obtained by discounting exp. CF to thefirm

=> i.e. residual CF after meeting all operating expenses and taxes BUT

=> prior to debt payments at the weighted average cost of capital (WACC)

$ investment planningdiscounted cash-flow – firm value

Page 51: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

$ investment planningdiscounted cash-flow – sample problem #2

Page 52: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

$ investment planningdiscounted cash-flow – sample problem #2

Page 53: MANAGERIAL ECONOMICS INTRODUCTION, BASIC PRINCIPLES February 17 – April 7, 2014 Session 1 - 8

$ investment planningdiscounted cash-flow – sample problem #3

Year CF to Equity Int (1-t) CF to Firm1. 250.00 90.00 340.002. 262.50 94.50 357.003. 275.63 99.23 374.854. 289.41 104.19 393.595. 303.88 109.40 413.27

TerminalValue 3,946.50 6,000.00

Cost of equity = 12%Cost of capital = 9.94%

Equity value in this firm?What is the value of the firm? -> how much to ask an interested party to invest for

what equity?How do we account for company assets in our evaluations?Compare with problem #1 and #2?Which one to put your $ in?