You are planning to borrow $500,000 on a 20-year fully amortized mortgage. The interest rate is 8% compounded semi-annually. You choose the monthly payment. a. What is the effective monthly rate for calculating the monthly payment?  b. What is your monthly payment? c. How much will you owe the bank in the end of the 5th year. d. What fraction of the payment made at the end of the 12th year will represent repayment of principal?

Corporate Fin Focused Approach
5th Edition
ISBN:9781285660516
Author:EHRHARDT
Publisher:EHRHARDT
Chapter4: Time Value Of Money
Section4.17: Amortized Loans
Problem 1ST
Question
You are planning to borrow $500,000 on a 20-year fully amortized mortgage. The interest rate is
8% compounded semi-annually. You choose the monthly payment.
a. What is the effective monthly rate for calculating the monthly payment? 
b. What is your monthly payment?
c. How much will you owe the bank in the end of the 5th year.
d. What fraction of the payment made at the end of the 12th year will represent repayment of
principal?   
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