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  James Fromholtz is considering whether to invest in a newly formed investment fund. The​ fund's investment...

  James Fromholtz is considering whether to invest in a newly formed investment fund. The​ fund's investment objective is to acquire home mortgage securities at what it hopes will be bargain prices. The fund sponsor has suggested to James that the​ fund's performance will hinge on how the national economy performs in the coming year. ​ Specifically, he suggested the following possible​ outcomes:

State of Economy

Probability

Fund Returns

Rapid expansion and recovery

5​%

100​%

Modest growth

35​%

30​%

Continued recession

55​%

20​%

Falls into depression

5​%

−100​%

a.  Based on these potential​ outcomes, what is your estimate of the expected rate of return from this investment​ opportunity?

b.  Calculate the standard deviation in the anticipated returns found in part a

c.  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 or you double your money if the economy enters into a rapid expansion.

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