In: Finance
You need to accumulate $10,000. To do so, you plan to make deposits of $1,950 per year - with the first payment being made a year from today - into a bank account that pays 6.5% annual interest. Your last deposit will be less than $1,950 if less is needed to round out to $10,000. How many years will it take you to reach your $10,000 goal? Do not round intermediate calculations. Round your answer up to the nearest whole number.
______ year(s)
How large will the last deposit be? Do not round intermediate calculations. Round your answer to the nearest cent.
$___________
1. How many years will it take you to reach your $10,000 goal? = 4.57 years or 5 years
b. How large will the last deposit be? Do not round intermediate calculations. Round your answer to the nearest cent.
Future value of deposit for 4 years= $8593.99
Amount of Last deposit = Value of 10000 at year 4 - Future value of annuity
Amount of Last deposit = 10000 / (1 + 0.065*0.57) - 8593.99
Amount of Last deposit = $9643.82 - 8593.99
Amount of Last deposit = $1049.83
Amount of Last deposit = $9643.82 - 8593.99