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(Computing the standard deviation for an individual​ investment)  James Fromholtz is considering whether to invest in...

(Computing the standard deviation for an individual​ 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

1515​%

100100​%

Modest growth

5050​%

4545​%

Continued recession

2020​%

1515​%

Falls into depression

1515​%

negative 100−100​%

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

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.

Solutions

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