Determine the amount of money that must be invested now (time 0) at 10% nominal interest, compounded monthly, to provide an annuity of $7 comma 000 per year for 12 years, starting eight years from now. The interest rate remains constant over this entire period of time.

the amount of money that must be invested now is $21068.87

Explanation:

Given that:

Nominal interest = 10%

Annuity = 7000

n = 8 years

The Effective interest rate is calculated by using the formula:

Effective interest rate =

Effective interest rate =

Effective interest rate = 0.1045

Effective interest rate = 10.45 %

Thus ; the the amount of money that must be invested now  is the present value with the annuity of $7, 000 per year for 12 years, starting eight years from now.

PV = 7000 × 6.666056912 × 0.4515171371

PV = $21068.87

Thus; the amount of money that must be invested now is $21068.87

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