Now a person who is 40 years old wants to buy a house that will cost 12000 dollars when he turns 65. Now that the bank has 3000 dollars in money and the semi-annual compound can fulfill this request for 6% annual nominal interest rate?
We are given the following information:
Value of account at time 0 | PV | $ 3,000.00 |
rate of interest | r | 6.00% |
number of years | n | 25 |
Semi Annual Compounding | frequency | 2 |
Future value | FV | To be calculated |
We need to solve the following equation to arrive at the required FV
So the FV is $13151.72 which is more than sufficient to cover the 12000 cost of the new house so 6% interest rate is sufficient.
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