You have $10,000 to invest in a combination of a risk-free asset (), an S&P 500 index
Question:
You have $10,000 to invest in a combination of a risk-free asset (), an S&P 500 index fund (S), and a corporate bond fund (B) with the following properties:
Asset | Expected return | Risk |
Risk-free asset | 0.05 | 0.00 |
S&P 500 index fund | 0.12 | 0.19 |
Corporate bond fund | 0.055 | 0.10 |
The correlation of the returns on the corporate bond fund and the stock index fund is equal to 0.30.
Assume that the tangency portfolio's return is equal to 9.8%. What dollar amounts should you invest in each of the three asset classes (F, S, and B) in order to achieve a standard deviation of 8.75% for the highest possible expected return?
Group of answer choices
$6615.40 in stocks, $3384.60 in risk-free rate
$2120.97 in stocks, $4145.56 in bonds, $3733.46 in risk-free rate
$4145.56 in risk-free rate, $2120.97 stocks, $3733.46 in bonds
$4145.56 in stocks, $2120.97 in bonds, $3733.46 in risk-free rate
$3384.60 in bonds, $6615.40 in the risk-free rate
Corporate Finance
ISBN: 978-0077861759
10th edition
Authors: Stephen Ross, Randolph Westerfield, Jeffrey Jaffe