Question

If $ 9 comma 000 is invested in a certain business at the start of the​ year, the investor will receive $ 2 comma 700 at the end of each of the next four years. What is the present value of this business opportunity if the interest rate is 6​% per​ year?

Answer 1

PV= $9,355.78

Step-by-step explanation:

Giving the following information:

If $ 9,000 is invested in a certain business at the start of the​ year, the investor will receive $ 2,700 at the end of each of the next four years.

Interest rate= 6%.

First, we need to find the final value

FV= {A*[(1+i)^n-1]}/i

A= payment

FV= {2,700*[(1.06^4)-1]}/0.06= 11,811.46

Now, we calculate the present value:

PV= FV/(1+i)^n

PV= 11,811.46/1.06^4= $9,355.78