In: Finance
Suppose you have $1000 to invest, and you have only two assets to choose from. There is a risky asset that has an expected return of 12% and a standard deviation of 15% and a risk-free asset that has an expected return of 5%.
How would you form a portfolio that has an expected return of 9%?
How would you form a portfolio that has a standard deviation of 6%?
weight of risky asset=Standard deviation of portfolio/Standard deviation of risky asset
1.
weight of risky asset=9%/15%=0.6000000
Invest 600 in risky asset and 400 in risk free asset
2.
weight of risky asset=6%/15%=0.4000000
Invest 400 in risky asset and 600 in risk free asset