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Time Value of Money

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TVM Assignment
1. $5,500 deposited four years ago has grown to $7,000. What semiannual compounded rate of interest has the bank been paying you?

PV = 5,500
N = 4 x 2 = 8
Pmt = -
FV = 7,000
I = 3.06%

2. The Costanza Resort borrowed $125,000 from the Ross Bank to pay for a new air conditioning system. The loan is for a period of 5 years at an interest rate of 10% and requires 5 equal end-of-year payments that include both principal and interest on the outstanding balance. What will be the outstanding balance after the third payment?

PV = 125,000
N = 5
I = 10%
Pmt =$32,974.68 The balance after the third payment will be $57,228.79
FV = -

3. Suppose you have borrowed $170,000 to buy a new home. You …show more content…

You are considering the purchase of a new car. The sticker price is $19,500 and you have $5,000 to put toward a down payment. If you can negotiate a nominal annual interest rate of 6.5% and you wish to pay for the car over a 4-year period, what are your monthly car payments?

PV = 19,500 – 5,000 = 14,500
N = 4 x 12 = 48
I = 6.5/12 = .5417
Pmt =$343.86
FV = -

9. Susan just put $11,000 into a new savings account, and she plans to contribute another $18,000 one year from now, and $45,000 two years from now. The savings account pays 4% annual interest.
With no other deposits or withdrawals, how much will she have in the account 10 years from today? PV = 11,000 PV =$11,440 + 18,000 = 29,440 PV = 30,617.60 + 45,000 = 70,617.60
I = 4% I = 4 I = 4%
N = 1 n = 1 N = 8
Pmt = - pmt = - pmt = -
FV = $11,440 FV = $30,617.60 FV = $96,645.06

10. Recently, Jerry and George each bought new cars. Both received a loan from a Chemical bank with a nominal interest rate of 9% where payments are made at the end of each month, and they both pay the same monthly payment. Jerry’s loan is for $17,000; however, his loan matures at the end of 4 years (48 months), while George’s loan matures in 5 years (60 months). After 48 months Jerry’s loan will be paid off, but what will be the remaining balance on George’s loan?

Jerry George
PV = 17,000 PV = $20,379.26 The remaining

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