### Problem

What will 195,000 grow to in 6 years time if it is invested today in an account with an annual interest rate of 8%?

### Solution

The amount of 195,000 (PV) is invested now at the start of period 1, and needs to be compounded forward 6 years (n) to the end of period 6, at a discount rate of 8% (i).

This problem is solved using the future value of a lump sum formula as follows.

PV = 195,000 n = 6 i = 8% FV = PV x (1 + i)^{n}FV = 195,000 x (1 + 8%)^{6}FV = 309,440.49

### Explanation

The amount of 195,000 invested today in an account earning 8% compound interest, will grow in to an amount of 309,440.09 in 6 years time.

### FV1 Future Value Examples

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Last modified July 10th, 2019