Math Problem Statement
Data table
(Click on the following icon in order to copy its contents into a spreadsheet.)
State of the Economy
Probability
Fund Returns
Rapid expansion and recovery
1010%
100100%
Modest growth
4040%
4545%
Continued recession
4545%
1010%
Falls into depression
55%
negative 100−100%(Related to Checkpoint 8.1)**** (Computing the expected rate of return) Two recent graduates from business school
(Mark VanMark Van
and
Sheila EppsSheila Epps)
decided to set up an investment company to acquire home mortgages that are in default but that they hope to restructure in ways that make it possible for the homeowner to continue making payments and thus retain ownership of their home. To evaluate the feasibility of their investment strategy,
MarkMark
and
SheilaSheila
decided to evaluate their fund's performance under different economic conditions applied to the coming year. Specifically, they estimated their fund's performance for the next year under each of four states of the economy and estimated the probability of each state as shown in the popup window:
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.
a. Based on these potential outcomes, what is your estimate of the expected rate of return from this investment opportunity?
b. Would you be interested in making such an investment? Note that you lose all your money in one year if the economy collapses into the worst state, but you double your money if the economy enters into a rapid expansion.
(Hint:
Use at least four decimal places in all calculations.)
Question content area bottom
Part 1
a. The expected rate of return from this investment opportunity is
enter your response here%.
(Round to two decimal places)
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Statistics
Finance
Formulas
Expected Rate of Return (ERR) = (R1 * P1) + (R2 * P2) + (R3 * P3) + (R4 * P4)
Theorems
-
Suitable Grade Level
Grades 10-12
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