State the Example to calculate the present value

2, 00,000 $ is the amount which you require after 20 years for your retirement. How much must you invest now at 5% per annum compounded yearly?

Solution

Here i = 0.05, FV = 2, 00,000, and n = 20. Putting it in the formula we get:

Present value = 200000 / (1+0.05)²⁰

Solve this or use present value table.

Using present value interest factor table we find that present value of 1 $ of 20 years from now at 5% interest is 0.3769. Multiplying it with future value 2, 00,000 $ we get:

PV = 2, 00,000 x 0.3769 = 75,380 $