Answered step by step
Verified Expert Solution
Question
1 Approved Answer
#1 Capital market expectations for stock and bond funds Use the given rates of return under different market conditions to calculate the expected or mean
#1 Capital market expectations for stock and bond funds | |||||||||
Use the given rates of return under different market conditions to calculate the expected or mean return for the stock and bond fund. | |||||||||
Stock Fund | Bond Fund | ||||||||
Scenario | Probability | Rate of Return | Col B x Col C | Rate of Return | Col B x Col E | ||||
Severe recession | 0.05 | -33 | -9 | ||||||
Mild recession | 0.25 | -9 | 15 | ||||||
Normal growth | 0.40 | 12 | 8 | ||||||
Boom | 0.30 | 31 | -5 | ||||||
Expected or Mean Return: | SUM: | 0.0 | SUM: | 0.0 | |||||
#2 Variance of returns | |||||||||
Use the expected return you calculated in the previous problem to find the deviation from the expected return and calculate the variance of returns for the stock and bond funds. | |||||||||
Stock Fund | Bond Fund | ||||||||
Deviation | Deviation | ||||||||
Rate | from | Variance | Column B | Rate | from | Variance | Column B | ||
of | Expected | (Squared | x | of | Expected | (Squared | x | ||
Scenario | Prob. | Return | Return | Deviation) | Column E | Return | Return | Deviation) | Column I |
Severe recession | 0.05 | -33 | 0 | 0.00 | -9 | 0 | 0.00 | ||
Mild recession | 0.25 | -9 | 0 | 0.00 | 15 | 0 | 0.00 | ||
Normal growth | 0.40 | 12 | 0 | 0.00 | 8 | 0 | 0.00 | ||
Boom | 0.30 | 31 | 0 | 0.00 | -5 | 0 | 0.00 | ||
Variance = SUM | 0.00 | Variance: | 0.00 | ||||||
Standard deviation = SQRT(Variance) | 0.00 | Std. Dev.: | 0.00 | ||||||
#3 Performance of a portfolio invested in the stock and bond funds | |||||||||
Find the expected return and standard deviation of a portfolio invested 40% in the stock fund and 60% in the bond fund by weighting the returns by the amount invested under each economic scenario. | |||||||||
Portfolio invested 40% in stock fund and 60% in bond fund | |||||||||
Rate | Column B | Deviation from | Column B | ||||||
of | x | Expected | Squared | x | |||||
Scenario | Probability | Return | Column C | Return | Deviation | Column F | |||
Severe recession | 0.05 | 0.00 | 0.0 | 0.00 | 0.00 | ||||
Mild recession | 0.25 | 0.00 | 0.0 | 0.00 | 0.00 | ||||
Normal growth | 0.40 | 0.00 | 0.0 | 0.00 | 0.00 | ||||
Boom | 0.30 | 0.00 | 0.0 | 0.00 | 0.00 | ||||
Expected return: | 0.00 | Variance: | 0.00 | ||||||
Standard deviation: | 0.00 | ||||||||
#4 Covariance between the returns of the stock and bond funds | |||||||||
Use the deviation from return that you calculated in #2 above to calculate the covariance and correlation coefficient of the stock and bond funds. | |||||||||
Deviation from Mean Return | Covariance | ||||||||
Scenario | Probability | Stock Fund | Bond Fund | Product of Dev | Col B x Col E | ||||
Severe recession | 0.05 | -14 | 0 | 0.0 | |||||
Mild recession | 0.25 | 10 | 0 | 0.0 | |||||
Normal growth | 0.40 | 3 | 0 | 0.0 | |||||
Boom | 0.30 | -10 | 0 | 0.0 | |||||
Covariance = | SUM: | 0.0 | |||||||
Correlation coefficient = Covariance/(StdDev(stocks)*StdDev(bonds)) = | #DIV/0! | ||||||||
#5 What does the correlation coefficient you calculate indicate? | |||||||||
#6 What is the Sharpe ratio and how does diversification improve it? |
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started