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Portfolio return and risk

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1. You are given the following information on a stock fund.

a. Please compute the expected return and standard deviation for the stock fund.

Scenario Probability Rate of Return/Stock Fund
Recession 25.0% -7%
Normal 50% 12%
Boom 25.0% 28%

b. You plan to form a portfolio with 50% invested in the Stock Fund and 50% invested in T-bills (the risk-free asset). T-bill offers a return of 5%. What's the portfolio return and portfolio risk?

c. There is a Bond Fund which has a correlation coefficient of -1 with the Stock Fund mentioned in part a. The expected return and standard deviation for the Bond Fund are 6% and 10%, respectively. You plan to form a portfolio with the Stock Fund and the Bond Fund only (no T-bills in this part). What are the portfolio weights you need to choose such that the variance of the portfolio is minimized?

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Solution Summary

This provides an example of computing expected return, standard deviation, portfolio return and risk, and portfolio weights to minimize variance.

Solution provided by:
Chris Busu, PhD (IP)
Education
  • BSc, University of Bucharest
  • MSc, Ovidius
  • MSc, Stony Brook
  • PhD (IP), Stony Brook
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