cc-equity investments
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Crash Course forEquity Invesment
CFA Level-I Exam
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Equity Investment
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Equity Investment
One-PeriodValuation Model
Infinite PeriodDividend
Discount Models
Earnings MultiplierModel
ConcentrationRatios
Price Indexes &Bias
EstimatingEPS
V0= (D1+P1) /(1+Ke)Be sure to use expecteddividend D1 in calculation.
Q. Analyst expects a stock sellingfor $25 per share to increase to
$30 by year end. The last dividendwas $1, but the analyst expectsnext years dividend to be $1.50.What is the expected holdingperiod yield on this stock?Ans. Yield =($31.50/$25)-1= 26%
PriceMultiples
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Q. Analyst feels that GordonCompany's earnings & dividendwill grow at 25% for two years,after which growth will fall to amarket-like rate of 6%. If theprojected discount rate is 10% &Gordon's most recently paiddividend was $1, value Brown's
stock using the supernormalgrowth (multistage)dividend discount model.Ans.(1.25/1.1) + (1.25/1.1)2+[(1.25)2(1.06)/(0.1- 0.06)]/(1.1)2 = $36.65
Supernormal growth model(multi-stage) DDM: .
Constant growth modelCritical relationship between
ke& gc
Critical assumption of infiniteperiod DDM
Stock continues to paydividends constant growth
rate.Constant growth rate, gcnever changes.kemust be greater than gc
Q. Holding all other factorsconstant, which of the following isexpected to grow at the same rateas dividends in the infinite periodDDM ?Sales.ROE.Stock price.All of the above.Ans.All of the above.
As difference b/w ke& gcwidens, value of Stock falls.
As difference narrows, valueof stock rises.Small changes in differencebetween keand gccause largechanges in stock's value.
Q. Which of the following isstocks P/E ratio based on theDDM?(1-RR)/[k-RR(ROE)]
(1+RR)/[k-RR(ROE)](1+RR)/[k+RR(ROE)](1-RR)/[k+RR(ROE)]Ans. (1-RR)/[k-RR(ROE)] Theearnings multiplier modelcalculate P/E as follows: payout/( kg) Substituting term,payout =1RR, & g=ROE(RR)
V0= D0(1+gc) /(ke- gc)= D1/(ke- gc)
Q. A firm has an constantdividend payout ratio of 60%and an expected future growthrate of 7%. What should thefirms price-to-earning (P/E)ratio be if the required rate ofreturn on stocks of this type is15%
Ans. Using the earningmultiplier model, 0.6/ (0.15 -0.07) = 7.5X
V0= [{D1/(1+ke)} +. +{Dn/(1+ke)
n} + {Pn/(1+ke)n}
Where Pn= Dn+1/(ke- gc)
Equity Investment
One-PeriodValuation Model
Infinite PeriodDividend
Discount Models
Earnings MultiplierModel
ConcentrationRatios
Price Indexes &Bias
EstimatingEPS
PriceMultiples
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P/E multiple P/BV multiple P/Sales multiple P/CF multiple
P/E = Price / EPSnearnings can be -ve
mgmt discretioncan distort earningsif n=0, trailing PEif n=1, leading PE
P/BV= Price / Book value
Book value = shareholdersequityBV is cumulative & usually +veBV is more stable than EPSdoes not value human capital
P/Sales = Price/Sales per sharemeaningful for distressed asset
sales not easy to manipulateless volatile compared to P/EP/S ratio does not considercost structures acrosscompanies
P/CF= Price/Cash flow per sharecash flow is difficult to manipulate
P/CF is more stable than P/Eaddresses problem of earningquality
Equity Investment
One-PeriodValuation Model
Infinite PeriodDividend
Discount Models
Earnings MultiplierModel
ConcentrationRatios
Price Indexes &Bias
EstimatingEPS
PriceMultiples
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P0/E1= (D1/E1)/ (k-g)= Payout ratio /(k-g)
Q.An investor is analyzing a f irm that has a historicalearning retention rate of 60%, which is projected tocontinue into the future, & a constant ROE of 15%.
The stocksbeta is 1.2. The nominal risk free rate is8%, & the expected market return is 13%. If theinvestor thinks that next yearsearnings will be $3 pershare, the stocksvalue is closest to:Ans. g=0.6*0.15=9%, k=0.08+1.2(0.13-0.08)=14%,P0= ($3*0.4)/(0.14-0.09) = $24
Equity Investment
One-PeriodValuation Model
Infinite PeriodDividend
Discount Models
Earnings MultiplierModel
ConcentrationRatios
Price Indexes &Bias
EstimatingEPS
PriceMultiples
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Price Weighted: weightedavg. of prices of index stocks,divisor adjusted for splits,biased downward due to splitsof good performers.
Market cap Weighted: baseperiod value increased by %ageincrease in total market value ofindex firms' stock, large cap stockshave greater influence.Float adjusted Market CapWeighted.
Equal Weighted: eitherarithmetic or geometricmean of individual indexstock returns, geometricmean has downward bias.
Q.Stock bonus is most likely to cause downward bias in which of the followingindex weighting schemes?A. Price weightedB. Value weightedC. Equal weighted
Ans. Stock bonus are generally issued by successful companies and hence itreduces their current market price & weightage in price weighted index post ex-bonus date. Hence stock bonus is likely to have downward bias on priceweighted index.
Equity Investment
One-PeriodValuation Model
Infinite PeriodDividend
Discount Models
Earnings MultiplierModel
ConcentrationRatios
Price Indexes &Bias
EstimatingEPS
PriceMultiples
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RebalancingThe process ofadjusting the weightsof each security in theindex.ReconstitutionThe process of
changing theconstituent securitiesin an index
Major type of equity indices:
Broad market indices
Typically constitutes more than 90% of the entire
market (eg: Shanghai Stock Exchange Composite
Index, Russell 3000)
Multi-market indices
Ex: MSCI International Equity Index
Sector indices
Ex: consumer goods, energy, finance, health care,
technology
Style indices
Market capitalization: Large cap, midcap, small
cap
Volume/growth classification: based on P/B, P/E,
dividend yields
Market capitalization and Value/growth
Equity Investment
One-PeriodValuation Model
Infinite PeriodDividend
Discount Models
Earnings MultiplierModel
ConcentrationRatios
Price Indexes &Bias
EstimatingEPS
PriceMultiples
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EPS1=[sales (EBITDA %)int - depn] (1 - t)Where sales, interest &depreciation are all per shareamounts
Q. Analyst gathered the following financial
information about a firm:Estimated sales per share $200An EBITDA profit margin estimate 20%Estimated depreciation per share $15Interest per share $5If the firms tax rate is 30%, calculate the firmsestimated EPS?Ans.Expected EPS= [(sales)*(EBITDA%) depn -interest](1-t) = [(200)(0.20)15 - 5] (1-0.3) = $14
Equity Investment
One-PeriodValuation Model
Infinite PeriodDividend
Discount Models
Earnings MultiplierModel
ConcentrationRatios
Price Indexes &Bias
EstimatingEPS
PriceMultiples
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N-firm concentration ratio is sum of themarket shares of the N largest firms.
Herfindahl index (N-firm or industry) is sum ofthe squared market shares. Herfindahl < 0.1
is competitive industry, >0.18 is concentrated.1/ Herfindahl is equivalent number of equal-
size firms.
Q.The three largest firms in a $200 bn industry have revenuesof $50 bn, $30 bn & $20 bn. Assuming that there are 10 otherequal-size firms in the industry, calculate the 3-firmconcentration ratio & the Herfindahl index for the entire industry.Ans.Three-firm concentration ratio = (50+30+20)/200= 0.50Herfindahl= (50/200)2+(30/200)2+(20/200)2+10(10/200)2= 0.12
Equity Investment
One-PeriodValuation Model
Infinite PeriodDividend
Discount Models
Earnings MultiplierModel
ConcentrationRatios
Price Indexes &Bias
EstimatingEPS
PriceMultiples
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Equity investment
FCFE MV vs. BV Enterprise Value
FCFE is a measure of dividend payingcapacityThe entire CFO is not available fordividend distributionCFO needs to be adjusted for FixedCapital Investment and Net Borrowings
FCFE= CFOFCIINV+ Net BorrowingVN=S FCFE
(1+r)t
Enterprise Value =market value of common stock+ market value of debtcash and investments
EV is often used when comparing
companies with significant difference incapital structure
EV/EBITDA where EBITDA is a proxyfor operating cash flow is used verycommonly
Book ValueReflects the historical operating andfinancing decisions of its managementMarket ValueRepresents not only the historicaloperating and financing decisions butalso the collective assessment of thefuture cash flows of the company
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Securities Markets& Equity investment
Well Functioning SecurityMarkets
Margin Purchases Margin Calls Forms of EMH
Timely, accurate informationLiquidityInternal Efficiency (Lowestpossible transaction cost)Informational (external)efficiency (prices rapidlyadjust to new information)
For Margin TransactionLeverage Factor= 1/ Margin percentageLevered Return = HPR* leverage Factor
Q. Investor purchase 100 shares of a stock for $55 pershare . Compute the investor's return if the stock is sold for$75 per share and the transaction was 1. 100% financed by
investor 2. A margin purchase with an initial marginrequirement of 50%Ans.1. As a 100% cash (equity) transaction, the investorwould had a return equal to $75,00/$5,500)1=36.36%2. With an initial margin of 50%, rest 50% equity in thisposition would be borrowed from the brokerage firm. If theshares were then sold at $75 per share, the position wouldbe worth $4,750(i.e.7,500 - $2,750). In this situation, theinvestor would have return equal to: ($4,750/$2,750)-1=72.72%
Types of Orders Companys sensitivity to theBusiness Cycle
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Margin call triggers pricesMargin Purchase = P0*(1-initial margin %) / (1- maintenance Margin %)Short Sell = P0*(1+initial margin %) / (1+ maintenance Margin%)
Q.Assume you bought a stock for $20 per share. If the initial margin requirement is60% & the maintenance margin requirement is 20%, at which price will you get amargin callAns.$20(1-0.6)/(1-0.2) = $10
Securities Markets& Equity investment
Well Functioning SecurityMarkets
Margin Purchases Margin Calls Forms of EMHTypes of Orders Companys sensitivity to theBusiness Cycle
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Market order:
Order placedat currentmarket rate
Limit order:
Order can onlybe executed atthe limit priceor lower for buyorder
Market if touched
order: order whichis executed as amarket order whena pre-specifiedprice is reached
Stop loss order:Order to buy orsell a stock oncethe price of thestock reaches aspecified price
Discretionary
order: marketorder whoseexecution maybe delayed atthe brokersdiscretion
Time-of-day
order: orderwhich isexecuted at aparticularperiod of day
Open order:
order which is ineffect untilexecuted or untilthe end of thetrading
Fill-or-kill
order: orderthat must beexecutedimmediately ornot at all
Securities Markets& Equity investment
Well Functioning SecurityMarkets
Margin Purchases Margin Calls Forms of EMHTypes of Orders Companys sensitivity to theBusiness Cycle
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Weak form: Currentstock prices fullyreflect availablesecurity market info.Volume info/ pastprice dont relate tofuture direction of
security prices.Investor cant achieveexcess returns usingtech analysis
Semi-strong form:Security pricesinstantly adjust tonew publicinformation. Investorcant achieveabnormal returns
using fundamentalanalysis
Strong form: Stockprices fully reflect allinformation from public &private sources.Assumes perfectmarkets in which allinformation is cost free &
available to everyone atthe same time. Even withinside info, investor cantachieve excess returns
CyclicalProfits strongly correlated with thestrength of the overall economyDefensive/Stable
Revenues and profits are least affectedby fluctuations in overall economicactivityGrowthInclude industries with specific demanddynamics that are so strong that theyoverride the significance of broadeconomic or other external factors
Securities Markets& Equity investment
Well Functioning SecurityMarkets
Margin Purchases Margin Calls Forms of EMHTypes of Orders Companys sensitivity to theBusiness Cycle
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Question 1
All of the following are characteristics of a good market except
A. Information asymmetryB. Price Continuity
C. Internal Efficiency
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Answer 1
A.
Characteristics of a good market include a) information symmetry b) price continuity c)internal efficiency.
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Question 2
Cluster analysis groups companies:
A. Operating in the same regionB. Having correlated returns
C. In the same industry
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Answer 2
B
Cluster analysis is done by grouping companies whose past returns correlations arehigh
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Question 3
An investor buys 100 shares of a company at 50% margin for $42. The shares fall to
$35 in the next few days. What is his rate of return on the investment? Instead if thestock had risen to $50 what will be his rate of return
A. -16.67%; 19.05%
B. -33.33%; 38.10%
C. -33.33%;19.05%
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Answer 3
B.
The cost of the purchase will be $42 * 100 = $4,200 since the investor has a 50%margin, his equity will be $2,100. When the stock rises to $50. The value of his equitywill be $2,900 giving him a return of 38.10%. If the stock falls to $35 his equity falls to$1,400 and he has a negative return of -33.33%.
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Question 4
The correlation between US Investment grade bonds and Emerging Markets and
between S&P 500 and Russell 3000 is most likelyUS Investment Grade vs. Emerging Markets S&P 500 vs. Russell 3000
A. Low Low
B. Low High
C. High Low
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Answer 4
B.
The correlation between US Investment-grade bonds and the emerging markets is verylow while the correlation between S&P 500 and the Russell 3000 will be very high.
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Question 5
The most likely classification for the following indices will be
Price Index Weighted IndexA. S&P 500 Dow Jones
B. S&P 500 NikkeiDJ
C. Dow Jones S&P 500
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Answer 5
C.
The Dow Jones is a price index while the S&P 500 is a value-weighted index
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Question 6
The price of stock XYZ fell from $100 to $20. Stock XYZ was a constituent of an index
but after the stock fall, its market cap reduced many folded and thus needed to bereplaced in the index. Which of the following must take place for companys XYZ to bereplaced by companys ABCs stock?
A. Rebalancing
B. Reconstitution
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Answer 6
C.
Not only the constituents of the index must change, but their weights as well
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Question 7
An investor makes the following statement, While testing the weak-form of EMH the
returns from a trading rule must be calculated excluding any transaction chargesbecause they tend to skew the returns when the returns are negative.
A.Correct. Transaction costs increase the losses when the returns are negative.
B.Incorrect. Transaction costs involved in implementing the trading rule should beincluded.
C.Incorrect. Transaction costs are public information and they should be included in
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Answer 7
B.
Transaction charges should be included while testing the weak-form hypothesis.
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Question 8
An investor who does not have access to superior analyst should least likely
A. Invest in mid cap stocksB. Diversify the portfolio
C. Minimize transaction costs
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Answer 8
A.
An investor without superior analysis skills should diversify and minimize thetransaction costs.
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Question 9
Corporate insiders, professional money managers and stock exchange specialists are
most likely to be tested for which form of the EMHA. Strong-form Hypothesis
B. Semi-strong form Hypothesis
C. Weak form Hypothesis
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Question 9
A.
Corporate insiders, professional money managers, security analysts and stockexchange specialist represent a group of investors who represent the strong-form ofEMH. They have information which might not be available to the lay investor and themeans to act on it.
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Question 10
Karen makes the following statementA stock with a relatively low PEG will
experience above- average rates of return as compared to a stock with relatively higherPEG ratio.
She also states thatThe risk-adjusted returns for smaller firms are greater than forlarger firms. She is most likely correct regarding
PEG ratio Small-firm
A. Correct Correct
B. Incorrect IncorrectC. Incorrect Correct
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Answer 10
A.
Karen is correct regarding both the statements.
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Question 11
Capital Markets are not always efficient. The least likely reason for a market to be fully
efficient isA. Cost of Information
B. Costs of Trading
C. Cost of Insider Information
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Answer 11
C.
The limitations for capital markets to be completely efficient areA. Cost of information
B. Cost of trading and
C. Limits of arbitrage.
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Question 12
Karen and Carl are arguing on the limitations of arbitrage opportunities. Karen states
that arbitrageurs are agents. They manage other peoples money; hence they may belimited by their mandates and so may not be able to take advantage of every arbitrageopportunity. Carl states that arbitrageurs are never limited by the amount of capital thatthey can invest in a mispricing. Both of them are most likely
A. Both the statements are correct
B. Only one statement is correct
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Answer 12
B.
Arbitrageurs are limited by the amount of money that they can invest in an anomaly. Ina rising market investors want to take advantage of the available opportunity ratherthan searching for mispricing that may give small returns.
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Question 13
Ashley Williams argues that in Neo-Classical growth theory the long-term growth rate
of GDP depends upon the savings rate. However Wayne Brady states that accordingto the neo-classical theory the long-term level of GDP depends on the countrys savingrate. Ashley and William are respectively
Ashley Wayne
A. Correct Incorrect
B. Incorrect Correct
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Answer 13
B.
The Neo-classical growth theory states that the long-term level of the GDP depends onthe countrys saving rate but the growth rate of GDP is independent of the countryssaving rate.
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Question 14
Zadobe Corp. has sustained modest but rapidly increasing growth rates. It also hasshown high profit margins as it has very few competitors in the industry. Bulsoft Inc.has high growth rates but these rates are stagnating. It is also facing increasedcompetition from new competitors and price cutting due to increased capacity. Both thecompanies respectively are most likely in which stage of the industry cycle.
Zadobe Corp Bulsoft Inc.
A. Mature Stage Growth Stage
B. Shakeout Stage Mature stageC. Growth stage Shakeout stage
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Answer 14
C.
Zadobe is in a rapidly accelerating hence in growth stage while Bulsoft is in ashakeout stage.
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Question 15
According to Porter if a company is maintaining industry leadership through cost cuttingand low-cost production. The company is most likely following which of the followingcompetitive strategies
A. Cost leadership
B. Differentiation
C. Focus
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Answer 15
A.
A company following a cost-leader ship strategy is trying to capture the market sharethrough cost-cutting.
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Question 16
The following two statements most likely represent which of Porters five forces thatshape an industry:
Statement 1: Defense contractors require very specific components in their hardware.There are very few companies who can provide the components with the requiredspecifications.
Statement 2:The brokerage industry is very competitive. New players are alwaysentering the industry and there are very low exit costs.
Statement 1 Statement 2A. Supplier Power Competitors
B. Buyers Power Substitutes
C. Supplier Power New Entrants
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Answer 16
C.
The defense industry is an example of suppliers power due to its stringentspecifications. Statement 2 gives an example of the threat of new entrants to theprofitability of incumbents in the industry.
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Question 17
An analyst states that, A cyclical stock is a high beta stock while a cyclical company isgreatly influenced by the economy. These are generally commodity stocks. Theanalyst is most likely
A. Correct regarding both the statements
B. Correct regarding only one statement
C. Incorrect regarding both the statements
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Answer 17
A.
Both the statements are correct.
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Question 18
In the country of Silverland drug chains have grown at a very high rate for the last fiveyears. However during the last few quarters aggressive price cuts have reduced profitmargins. However the industry is expected to consolidate and prices are expected tostabilize. The industry is most likely
A. Pioneering
B. Mature
C. Declining
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Answer 18
B.
In a mature industry profits are squeezed and the industry is consolidating with stableprices.
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Question 19
The value of the preferred stock of Company A is $92.45. If the dividend is $7.5 peryear. The promised yield is closest to
A. 8.15%
B. 8.11%
C. 8.25%
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Answer 19
B.
Promised Yield = Dividend / Price = $7.5 / $92.45 = 8.11%.
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Question 20
Equity valuation can be approached through two techniquesDiscounted Cash Flowand Relative Valuation. The closest classification of the various techniques
DCF Relative Valuation
A. P/CF P/E
B. P/S PV of Operating CF
C. PV of FCFF P/BV
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Answer 20
C.
Free Cash Flow to the Firm is a DCF approach to valuation while Price to Book Valueis a Relative Valuation technique.
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Question 21
Company A reinvests all of its retained earnings in the business. The companymanagement believes that this is the most appropriate source of funding as it keepsleverage low which can be very beneficial in a cyclical industry. The least likely methodof analyzing the company
A. Dividend Discount Model
B. Price to Earnings model
C. PV of Free CF to Equity
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Answer 21
A.
DDM models are used for companies which make regular dividend payments with afixed dividend payout ratio.
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Question 22
Ashley an analyst with a broking firm makes the following statement, The relativevaluation technique is useful while comparing companies that are similar in terms ofindustry, size and risk. However a DDM model can also be used for companies that donot pay dividends during a high growth period, but otherwise pay regular dividends.She is most likely
A.Correct regarding the DDM model but incorrect regarding the relative valuationtechnique.
B.Correct regarding both the DDM model and the relative valuation technique.C.Correct regarding the relative valuation technique but incorrect regarding the DDM
model.
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Answer 22
C.
DDM models can only be used for companies with regular payout ratios.
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Question 23
Company A pays 50% of its earnings to its shareholders. Their ROE is 20% while therequired rate of return is 14%. Next years earnings are $4. The value of their stock isclosest to
A. 200
B. 50
C. 100
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Answer 23
B.
Constant growth rate(g) = ROE*Payout ratio = 0.20*0.5 = 0.10Next Years dividend (D1)= 4*.5 =2
Required rate (k)=14%
P = D1/(k-g)
= 2/(0.14-0.10)
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Question 24
An analyst has gathered some information about stock, which is provided below:
Expected market returns: 15%Risk free rate: 8%
Beta of the stock: 1.13
Current market price: Rs 75
9 month price target: Rs 87
Which of the following is most likely to be true about stock valuation?
A. Stock is undervalued
B. Stock is overvalued
C. Stock is fairly valued
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Answer 24
A.
The correct answer is Stock is undervaluedKe=8%+1.13*(15%-8%) = 15.9% for 1 year
Interest rate for 9 months = 15.9 *0.75 = 11.93%
V0=87/1.1193
= 77.73
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