Question
You are interested in forming a portfolio with Stock S and Bond B. Stock S has an expected return of 16.8% and a standard deviation
You are interested in forming a portfolio with Stock S and Bond B. Stock S has an expected return of 16.8% and a standard deviation of returns of 25.2%. Bond B has an expected return of 7.2% and a standard deviation of returns of 11.9%. The correlation coefficient of the returns of S and B is 0.35. The risk-free rate of return is 2.5%. Using increments of two percentage points, fill in the template posted and plot both efficient frontiers (with vs. without the risk-free asset.) When plotting the line for the frontier with the risk-free asset, use a range from 0 to 30 for the X values. Please put the Wb and Ws for the maximum-Sharpe-ratio portfolio in the last row of your data.
E(Rs) | E(Rb) | SDstock | SDbond | CorrBS | T-bill rate | wb for min. var. portfolio: | numerator = | wb for optimal Sharpe Ratio: | Term 1 | Term 2 | |||||||||
16.8 | 7.2 | 25.2 | 11.9 | 0.35 | 2.5 | denominator = | numerator: | ||||||||||||
Answer = | denominator: | ||||||||||||||||||
Answer: | |||||||||||||||||||
Now construct EF when risk-free asset exists. | Line goes through two points: (0,rf) and xy coordinates of optimal risky portfolio (i.e., highest Sharpe ratio). | We know that (0,rf) = (0, T-bill rate). Now we need to find portfolio with highest Sharpe ratio. | This is our slope. | Find points on line. | |||||||||||||||
ws | wb | E(rp) | (wssds)^2 | (wbsdb)^2 | 2wssdswbsdbpbs | Var(rp) | SD(rp) | Sharpe Ratio | Max Sharpe Ratio | x | y=mx+b | ||||||||
1 | 0 | 0.00% | THIS CELL ONLY. | 0 | |||||||||||||||
0.00% | 2.00% | 0.00% | USE =MAX FUNCTION. | 1 | |||||||||||||||
2.00% | 0.00% | 2 | |||||||||||||||||
2.00% | 0.00% | 3 | |||||||||||||||||
2.00% | 0.00% | 4 | |||||||||||||||||
2.00% | 0.00% | 5 | |||||||||||||||||
2.00% | 0.00% | 6 | |||||||||||||||||
0.00% | 7 | ||||||||||||||||||
0.00% | 8 | ||||||||||||||||||
9 | |||||||||||||||||||
10 | |||||||||||||||||||
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