A borrower takes out a 30-year mortgage loan for $250,000 with an interest rate of 5% APR compounded monthly with level monthly payments. There is also a 2% Origination Fee so at the very beginning, she receives 250,000*98% = 245,000. Assume she will pay the loan for 30 years following the original loan schedule. What would be the Effective Annual Rate (EAR)? Hints: 1. Monthly Payment is based on $250,000; 4 2. with Excel Rate function, calculate the Effective Monthly Rate (EMR), here PV is what the borrower actually receives (after deduction of 2%) 3. then EAR= (1+EMR)^12-1 O 5.30% O 5% 4.70% O Not enough information

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
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A borrower takes out a 30-year mortgage loan for $250,000 with an
interest rate of 5% APR compounded monthly with level monthly
payments. There is also a 2% Origination Fee so at the very beginning,
she receives 250,000*98% = 245,000. Assume she will pay the loan for
30 years following the original loan schedule.
What would be the Effective Annual Rate (EAR)?
Hints:
1. Monthly Payment is based on $250,000;
2. with Excel Rate function, calculate the Effective Monthly Rate (EMR),
here PV is what the borrower actually receives (after deduction of 2%)
3. then EAR (1+EMR)^12-1
O 5.30%
O 5%
=
O 4.70%
O Not enough information
Transcribed Image Text:A borrower takes out a 30-year mortgage loan for $250,000 with an interest rate of 5% APR compounded monthly with level monthly payments. There is also a 2% Origination Fee so at the very beginning, she receives 250,000*98% = 245,000. Assume she will pay the loan for 30 years following the original loan schedule. What would be the Effective Annual Rate (EAR)? Hints: 1. Monthly Payment is based on $250,000; 2. with Excel Rate function, calculate the Effective Monthly Rate (EMR), here PV is what the borrower actually receives (after deduction of 2%) 3. then EAR (1+EMR)^12-1 O 5.30% O 5% = O 4.70% O Not enough information
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