Question

Rob has just received a check for $32,595. This is a return from an investment that he made 18 years ago. He was told that the return was the equivalent of 11% per year. How much was his original investment

Answer 1

The original investment that Rob made was $4,981 with the rate of interest of 11% per year for 18 years.

What do you mean by present value?

Present value (PV) refers to the current price of a future amount of money or move of cash flows given a certain price of return. Future cash flows are discounted at the discount price, and the better the discount price, the lower the present price of the future cash flows.

As per the given information:

A: $32,595

P: ?

r: 11%

n = 18 years

$A=P(1+ \dfrac{r}{100} )^{n} \\\\32,595 = P(1+ 0.11)^{18} \\\\32,595 = P (1.11)^{18} \\\\32,595 = 6.5435P\\\\ P = \ 4,981$

Therefore, The original investment that Rob made was $4,981 with a rate of interest of 11% per year for 18 years.

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