Your investment portfolio consists of $15 comma 000 invested in only one stocklong dashAmazon. Suppose the risk-free rate is 5 %, Amazon stock has an expected return of 12 % and a volatility of 40 %, and the market portfolio has an expected return of 10 % and a volatility of 18 %. Under the CAPM assumptions, a. What alternative investment has the lowest possible volatility while having the same expected return as Amazon? What is the volatility of this investment? b. What investment has the highest possible expected return while having the same volatility as Amazon? What is the expected return of this investment? Hint: Make sure to round all intermediate calculations to at least five decimal places.

a)

The CAPM hypothesis states that the effective market is utilized place in the market and has the maximum eminent expected return of any assortment for a given randomness and the smallest variability for a assumed expected return. By allotment utilized place in the market assortment, you can achieve a standard return,

Thus,  

Expected Rate of Return = [Risk free Rate + Beta × (Market Risk - Risk free Rate)]

Beta = [Expected Rate of Return – Risk Free Rate] / [Market Risk - Risk free Rate]

Beta = [12% - 5%] / [10% -5%]

Beta = 7/5

Beta =1.4

The final possible instability while taking the same estimated rate of return as Amazon is $21,000 ($15,000 × 1.4) which indicate that it borrows $6,000 ($21,000 - $15,000). Now the -$6,000 is specified as strength benefit. So the volatility of the asset is,

Volatility = [Volatility of Asset x Beta]

Volatility = [18% × 1.4]

Volatility = 0.252 or 25.20%

Therefore the volatility is less than the volatility of Amazon.

b)

The market share has a instability of "n". The corresponding instability of Amazon will be 2.22 (40%/18%). So the assortment with the most notable predictable give back that has a faint variability from Amazon is $33,333.33 ($15,000x 2.22) which will be the market assortment and it also uses $18,333.33 ($33,333.33 - $15,000). Here the -$18,333.33 is specified as strength asset. So the return is,

Expected Return = [Risk free Rate + Beta × (Market Risk – Risk free Rate)]

Expected Return = [5%+ 122 × (10% - 5%)]

Expected Return = [5%+ 122 × 5%]

Expected Return = [0.05+0.111111]

Expected Return = 0.161111 or1 6.11%

Therefore the volatility is higher than the expected return of Amazon.