Answer to Question #265603 in Financial Math for shehan mendis

Question

A firm plans to invest an amount of money at the beginning of every year in order to acquire a sum of $50,000 at end of 5 years. If the investment rate is 7% p.a., what is the value of the sum

Answer 1

Future value = Annual payment $\times \frac{(1 + r)^n - 1 }{r } \times (1 + r)$

50000 = Annual payment $\times \frac{(1 + 0.07)^5 -1}{0.07} \times (1+0.07)$

50000 = Annual payment $\times 6.153290741$

Annual payment $= \frac{50000}{6.153290741} = 8125.73$