Question: Please show work so I can understand how you came to that answer, thank you Chapter 5-6: Risk and Return and Asset Allocation 1.Rates of

Please show work so I can understand how you came to that answer, thank you

Please show work so I can understand how you came to that

answer, thank you Chapter 5-6: Risk and Return and Asset Allocation 1.Rates

of Return 1) Arithmetic average return: In-(ri+r2+r3...+ rn) 2) Geometric average return:

gn [(1 +r)(1 +r2)(1 +rs)..(1 +rn)]1/h-.1 Example: 4 25% Quarterly return 10%

25% -20% Arithmetic: r4- - Geometric: g4- 3) Effective Annual Rate (EAR)

(1+ rate for period)Peniods per year - 1 Example: quarterly return of

Chapter 5-6: Risk and Return and Asset Allocation 1.Rates of Return 1) Arithmetic average return: In-(ri+r2+r3...+ rn) 2) Geometric average return: gn [(1 +r)(1 +r2)(1 +rs)..(1 +rn)]1/h-.1 Example: 4 25% Quarterly return 10% 25% -20% Arithmetic: r4- - Geometric: g4- 3) Effective Annual Rate (EAR) (1+ rate for period)Peniods per year - 1 Example: quarterly return of 3% EAR 2. Sharpe ratio Portfolio risk premium/standard deviation Example: Security A (E(r)-10%; 2.25%) vs. security B (E(r)-12%; 5%) (Assume that the Treasury bill rate = 6%) Sharpe ratioA Sharpe ratioB- 3. Asset allocation between a riskv portfolio and a risk-free asset 1) Construct the risky portfolio using stocks, bonds, etc. 2) Find the optimal risky portfolio P (CAL) 3) Determine wi for the risky portfolio and w2 (1-w) for the risk-free asset Example: 1) You invest your money in a risky portfolio P with an expected rate of return of 15% and a standard deviation of 25% and in a T-bill (risk-free asset) with a rate of return of 5%. What percentages of your money mu risky asset and the risk-free asset, respectively, to form a combined portfolio C with arn expected rate of return of 8%

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