Compute the Expected Return, Standard Deviation, and Value at Risk

Essay

Compute the expected return, standard deviation, and value at risk for each of the following investments:
Investment (A): Pays $800 three-fourths of the time and a $1200 loss otherwise.
Investment (B): Pays $1000 loss half of the time and a $1600 gain otherwise.
State which investment will be preferred by each of the following investors, and briefly explain why.
(i) a risk-neutral investor.
(ii) an investor who seeks to avoid the worst-case scenario.
(iii) a risk-averse investor.