a. Calculate the annual rate of return for each asset in each of the 10 preceding years, and use those values to find the average annual return for each asset over the 10-year period.

b. Use the returns calculated in part a to find

(1) The standard deviation and

(2) The coefficient of variation, of the returns for each asset over the l0.year period 2000—2009.

c. Use your findings in parts a and b to evaluate and discuss the return and risk associated with each asset. Which asset appears to be preferable? Explain.

d. Use the CAPM to find the required return for each asset. Compare this value with the average annual returns calculated in part a.

e. Compare and contrast your findings in parts c and d. What recommendations would you give Junior with regard to investing in either of the two assets?

Explain to Junior why he is better off using beta rather than the standard deviation and coefficient of variation to assess the risk of each asset.

f. Rework parts d and e under each of the following circumstances:

(1) A rise of 1% in inflationary expectations causes the risk-free rate to rise to 8% and the marker return to rise to 11%.

(2) As a result of favorable political events, investors suddenly become less risk- averse, causing the market return to drop by 1%, to 9%.

Junior Sayou, a financial analyst for Chargers Products, a manufacturer of stadium benches, must eva1uae the risk and return of two assets, X and Y. The firm is considering adding these assets to its diversified asset portfolio. To assess the return and risk of each asset, Junior gathered data on the annual cash flow and beginning- and end-of-year values of each asset over the immediately preceding 10 years, 2000—2009. These data are summarized in the following table (Junior’s investigation suggests that both assets, on average, will tend to perform in the future just as they have during the past 10 years. He therefore believes that the expected annual return can be estimated by finding the average annual return for each asset over the past 10 years.

Junior believes that each asset’s risk can be assessed in two ways: in isolation and as part of the firm’s diversified portfolio of assets. The risk of the assets in isolation can be found by using the standard deviation and coefficient of variation of returns over the past 10 years. The capital asset pricing model (CAPM can be used to assess the asset’s risk as part of the firm’s portfolio of assets. Applying some sophisticated quantitative techniques, Junior estimated betas for assets X and Y of 1.60 and 1.10, respectively. In addition, he found that the risk-free rate is currently 7% and that the marker return is10%.

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a Return Datafor Assets Xand% 2000-2009 Value YearCash fowBeginningEndingCas BowBeginning Bndiug 2000 $1,000$20,000 $22,000 S1,500$20,000 $20,000 20,000 21.000 1,600 2002 1,400 21,000 24,000 1,700 20037 24,000 22,000 1,800 1,900 23,000 26,000 2,000 2,100 2,200 24,000 27,000 2,300 27000 30,0002400 22,000 2001 1,500 220 20,000 20,000 21,000 2005 200 ,600 26,00024,000250025,000 2006 1,700 2007 2009 100 25,0002s,000 2000 21,000 21,000 2008 2,100 21,000 22,000 22,000 23,000 23,00023,000 24,000 2,000 .000 000 ,000 1,900 22,000 23,000 2,000 23,000 24,000 009 2200