You plan to take a 15-year mortgage in the amount of $400,000 to buy a home. The bank charges 4% annual interest compounded monthly. You are going to pay off this loan by fixed installments (fixed total payment) to be made at the end of each month for fifteen years. Find the principal repayment and interest payment for month 1.
You plan to take a 15-year mortgage in the amount of $400,000 to buy a home. The bank charges 4% annual interest compounded monthly. You are going to pay off this loan by fixed installments (fixed total payment) to be made at the end of each month for fifteen years. Find the principal repayment and interest payment for month 1.
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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Question
You plan to take a 15-year mortgage in the amount of $400,000 to buy a home. The bank charges 4% annual interest compounded monthly. You are going to pay off this loan by fixed installments (fixed total payment) to be made at the end of each month for fifteen years. Find the principal repayment and interest payment for month 1.
Month |
BEG bal |
Total PMT |
Principal |
Interest |
1 |
400,000.00 |
2,958.75 |
??? |
??? |
a. |
$1625.42; $1333.33 |
|
b. |
$1313.76; $1333.33 |
|
c. |
$1313.76; $3208.33 |
|
d. |
$1625.42; $3208.33 |
Expert Solution
Step 1
Given,
Mortgage amount is $400,000
Rate is 4%
term is 15 years
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Solved in 2 steps
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