If Quincy can invest at an opportunity cost rate equal to 12 percent compounded monthly, what lump-sum amount should he invest today so that he has $22,000 to buy a new car in three years?

Respuesta :

Answer:

The answer is $15,376.01

Explanation:

So Quincy should invest $15,376.01 today.

Please refer to the attached file for calculation.

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Answer:

$15373.9

Explanation:

The question demands that how much Quincy should invest today, which means the present value to get $22000 after three years. The $22000 is the future value, and three years is the period.

The formula will be :

PV = [tex]\frac{FV}{(1+r)^{n} }[/tex]

The question also states that the 12% interest rate compounded monthly, which we will solve as r= 12 divided by 12 =1 %. Whereas, n is the number of periods and will be displayed as n= 3 years  multiply by 12 months to get 36 time period.

So by putting the values in the formula as below:

PV = [tex]\frac{22000}{(1+0.01)^{36} }[/tex]

PV = $15373.9

So, Quincy has to invest this amount to get $22000 after 3 years with 12% rate compounded monthly.