Question

An investor will choose between Asset Q with an expected return of 6.5% and a standard deviation of 5.5%, Asset U with an expected return of 8.8% and a standard deviation of 5.5%, and Asset B with an expected return of 8.8% and a standard deviation of 6.5%. Which one should the investor prefer

Answer 1

Answer:

Asset U

Explanation:

Reward-to-volatility ratio for Asset Q = Expected return / standard deviation

Reward-to-volatility ratio for Asset Q = 6.5% / 5.5%

Reward-to-volatility ratio for Asset Q = 1.1818

Reward-to-volatility ratio for Asset U = Expected return / standard deviation

Reward-to-volatility ratio for Asset U = 8.8% / 5.5%

Reward-to-volatility ratio for Asset U = 1.6

Reward-to-volatility ratio for Asset B = Expected return / standard deviation

Reward-to-volatility ratio for Asset B = 8.8% / 6.5%

Reward-to-volatility ratio for Asset B = 1.3538

The  investor should prefer Asset U because its has the highest reward to volatility ratio among the three options.