" 10 1 2 13 14 15 16 17 18 19 20 Suppose you purchased a house 3 years ago and took out a mortgage for $200,000 with a 7.5% interest rate. The mortgage is a 30 year mortgage with monthly payments. Today you can refinance the loan at a 6.5% interest rate for a fee of $7,500. Assume that you would only refinance enough to repay the old loan and the cost of refinancing. Initial Loan Refinancing Annual Rate Life (In Years) Loan Amount $ 200,000.00 PV (of monthly payments) NPV of Refinancing Refinance? 7.50% 6.50% A- If you refinance by taking a new 30 year loan at the new rate, how much will you save per month? Monthly Savings B-Should you refinance today? 30 30 Initial Loan Monthly Payments Refinance. Periods Paid 36 0 Cost $ $ 7,500.00 Tip: Use the best interest rate available to you to determine the PV.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Suppose you purchased a house 3 years ago and took out a mortgage for $200,000 with a 7.5%
interest rate. The mortgage is a 30 year mortgage with monthly payments. Today you can refinance
the loan at a 6.5% interest rate for a fee of $7,500. Assume that you would only refinance enough to
repay the old loan and the cost of refinancing.
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30
31
Annual Rate Life (In Years) Loan Amount
$ 200,000.00
7.50%
6.50%
PV (of monthly payments)
NPV of Refinancing
Refinance?
Initial Loan
S
Refinancing
$ 7,500.00
A- If you refinance by taking a new 30 year loan at the new rate, how much will you save per month?
Monthly Savings
B-Should you refinance today?
Time Till Move
30
30
Loan Balance at Move
NPV of Refinancing
Refinance?
Initial Loan Refinance
C-If you expect to move in 3 years, would you want to refinance?
Months
36
Year
Monthly
Payments
Old Loan
New Loan
Periods Paid
36
0
Cost
Tip: Use the best interest rate available to you to determine the PV.
Tip: You will have to make payments for the years until you move then pay whatever
loan balance is left. So consider what the difference in both payments and future
value will be.
Transcribed Image Text:3 10 11 12 13 14 15 16 17 18 19 20 21 22 Suppose you purchased a house 3 years ago and took out a mortgage for $200,000 with a 7.5% interest rate. The mortgage is a 30 year mortgage with monthly payments. Today you can refinance the loan at a 6.5% interest rate for a fee of $7,500. Assume that you would only refinance enough to repay the old loan and the cost of refinancing. 23 24 25 26 27 28 29 30 31 Annual Rate Life (In Years) Loan Amount $ 200,000.00 7.50% 6.50% PV (of monthly payments) NPV of Refinancing Refinance? Initial Loan S Refinancing $ 7,500.00 A- If you refinance by taking a new 30 year loan at the new rate, how much will you save per month? Monthly Savings B-Should you refinance today? Time Till Move 30 30 Loan Balance at Move NPV of Refinancing Refinance? Initial Loan Refinance C-If you expect to move in 3 years, would you want to refinance? Months 36 Year Monthly Payments Old Loan New Loan Periods Paid 36 0 Cost Tip: Use the best interest rate available to you to determine the PV. Tip: You will have to make payments for the years until you move then pay whatever loan balance is left. So consider what the difference in both payments and future value will be.
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