An investor has $100,000 available for 1-year investment. The investor is weighing two options: a money market fund that gives a fixed annual return of 12% and an investment plan with an annual rate of return that can be regarded as a random variable with values that depend on prevailing economic conditions. Based on the second plan’s past history under a variety of economic conditions, a very reliable analyst has subjectively determined the following probabilities associated with several possible rates of return: Rate of Return  Probability 0.3                        0.20 0.25                      0.20 0.20                      0.30 0.15                       0.10 0.10                       0.10 0.05                      0.10 a) Which investment plan should be selected, if the choice is to be made on the expected rate of return? Show work.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 1E: If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the...
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An investor has $100,000 available for 1-year investment. The investor is weighing two options: a money market fund that gives a fixed annual return of 12% and an investment plan with an annual rate of return that can be regarded as a random variable with values that depend on prevailing economic conditions. Based on the second plan’s past history under a variety of economic conditions, a very reliable analyst has subjectively determined the following probabilities associated with several possible rates of return:

Rate of Return  Probability
0.3                        0.20
0.25                      0.20
0.20                      0.30
0.15                       0.10
0.10                       0.10
0.05                      0.10

a) Which investment plan should be selected, if the choice is to be made on the expected rate of
return? Show work.

Expert Solution
Step 1

An investor has $100,000 for investment.

There are two investment options.

1. money market fund gives fixed annual return 12% 

2. Investment plan based on random phenomena.

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