You are saving for a Porsche Carrera Cabriolet, which currently sells for nearly
ID: 2759909 • Letter: Y
Question
You are saving for a Porsche Carrera Cabriolet, which currently sells for nearly half a million dollars. Your plan is to deposit $31,100 at the end of each year for the next 9 years. You expect to earn 13 percent each year.
Determine how much you will have saved after 9 years. (Future Value of $1, Present Value of $1, Future 1.Value Annuity of $1, Present Value Annuity of $1.) (Use appropriate factor(s) from the tables provided. Round your final answer to 2 decimal places.)
Balance in the Savings account:__________
Determine the amount saved if you were able to deposit $33,600 each year. (Future Value of $1, Present 2.Value of $1, Future Value Annuity of $1, Present Value Annuity of $1.) (Use appropriate factor(s) from the tables provided. Round your final answer to 2 decimal places.)
Balance in the Savings Account:________
3.Determine the amount saved if you deposit $31,100 each year, but with 15 percent interest. (Future Value of $1, Present Value of $1, Future Value Annuity of $1, Present Value Annuity of $1.) (Use appropriate factor(s) from the tables provided. Round your final answer to 2 decimal places.)
Balance in the Savings Account:_______
You are saving for a Porsche Carrera Cabriolet, which currently sells for nearly half a million dollars. Your plan is to deposit $31,100 at the end of each year for the next 9 years. You expect to earn 13 percent each year.
Explanation / Answer
Future value of annuity = P×[(1+r)^n-1]÷r
r is interest rate per period
P is payment per period
n is number of payments
1)
= $31,100×[(1+13%)^9-1]÷13%
Balance in savings account = $479,428.49
2)
= $33,600×[(1+13%)^9-1]÷13%
Balance in savings account = $517,967.76
3)
= $31,100×[(1+13%)^9-1]÷15%
Balance in savings account = $415,504.69
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