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Build-up Models


1. b


2. d


3. b


4. b


True or False Questions


5. False. fhhotson's risk premium series are based on 1-, 5-, and 20-year maturities, so using a 10-year maturity for the risk-free rate does not have a matching risk premium.


6. False


7. True


8. True


Fill-in-the-Blank Questions


10 11


12 13 14


Equity risk premium Historic Lower; equal Risk-free; risk Risk premium Does Exercises


15. The formula for the arithmetic mean equily risk premium is:


Excess Returns on the


x = arithmetic average


Ri = (he excess return for period in ~ number of observation periods.


V'e can tabulate the data as follows:


Returns on U.S. rear Returns on the Market Treasury Obligations


0.03



0.40


0.06



0.09


0.02



0.18


0.05



-0.35


0.06



-0.04


urn = 0.28/5 =


= 5.6% or =


= 6%


1 0.43


.15 .20 .30 .02


Short-term arithmetic mean equity risk premium = 0. 16. The formula for the aeometric mean is:


i


G =


-i


ye:


G = Geometric average


Ri = Return for the itli period (the returns measured for each period are actually


excess returns, that is, tlie difference between the equity market return and tlie


Treasury-obligation income return for the n ~ Number of observation periods


We can tabulate the results as follows:


on


Year Returns on the Market


1 0.43


2 0.15


3 0.20


4 -0.30


5 0.02


Short-term geometric mean equity 1.7. Risk-free rate


+ Equity risk premium


+ Size premium


+ Company risk premium


Returns on T


J.S.


1 + Excess Retu


Treasury Obli^


ations


tlie Market


0.03



1.40


0.06



1.09


0.02



1.18


0.05



0.65


0.06



0.96


premium


Vl-1236 -1 = 1.02 -1 = 0.02 or 2%


6% 7% 8% 2%


ABC cost of equity capital



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