# An individual with cash to invest has two investment choices

Buy a stock fund that every year

Question

# An individual with cash to invest has two investment choices:Buy a stock fund that every year

either earns 40% or -20% with a 50/50 probability.

Buy a bond fund that every year returns either 5% or 0% also with a 50/50 probability.

Assume that the returns on the two funds are independent, and that returns from year to year are also independent. Also assume an initial portfolio value of \$1. (The answers, however, will be unaffected if you use a different initial portfolio value.)

In addition, suppose the value function is linear and is specified as:

v(z) = z for z 0

v(z) = 3z for z 0

a. Which fund does the investor prefer if he looks at his portfolio i) once a year; or ii) once every two years?

A
B
C
D
E
F
G
1
a
Q NJ
Option-1
Option-2
quot;Stockquot;
‘Bondquot;
Return per
Net Return
Net Return
year
Probability
Return per year
Probability
40%
0.5
20%%
5%
0.5
2.50%
20%
0.5
10%
0.5
0.00%…
Finance