Background to the problem:

A customer would like to save p pounds over n years to buy a house. The bank suggested different ways to benefit from saving a certain amount of money, such as earning interest for a few years. The bank can calculate the deposit to save $$p over n years. However, with inflation and potentially increasing house prices, the bank recommends a slightly higher deposit.

We would like to calculate the amount recommended to deposit, given the required future value, the total interest rate and the number of years planned to let the money sit in the account.