You are looking at a one-year loan of $18,000. The interest rate is quoted as 7.4 percent plus two points. A point on a loan is 1 percent (one percentage point) of the loan amount. Quotes similar to this one are common with home mortgages. The interest rate quotation in this example requires the borrower to pay two points to the lender up front and repay the loan later with 7.4 percent interest. a. What rate would you actually be paying here? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What is the EAR for a one-year loan with a quoted interest rate of 10.4 percent plus two points? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

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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You are looking at a one-year loan of $18,000. The interest rate is quoted as 7.4 percent
plus two points. A point on a loan is 1 percent (one percentage point) of the loan amount.
Quotes similar to this one are common with home mortgages. The interest rate quotation
in this example requires the borrower to pay two points to the lender up front and repay
the loan later with 7.4 percent interest.
a. What rate would you actually be paying here? (Do not round intermediate
calculations and enter your answer as a percent rounded to 2 decimal places, e.g.,
32.16.)
b. What is the EAR for a one-year loan with a quoted interest rate of 10.4 percent plus
two points? (Do not round intermediate calculations and enter your answer as a
percent rounded to 2 decimal places, e.g., 32.16.)
a. Interest rate
b. EAR
9.41 %
10.61 %
Is your answer affected by the loan amount?
No
Yes
Transcribed Image Text:You are looking at a one-year loan of $18,000. The interest rate is quoted as 7.4 percent plus two points. A point on a loan is 1 percent (one percentage point) of the loan amount. Quotes similar to this one are common with home mortgages. The interest rate quotation in this example requires the borrower to pay two points to the lender up front and repay the loan later with 7.4 percent interest. a. What rate would you actually be paying here? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What is the EAR for a one-year loan with a quoted interest rate of 10.4 percent plus two points? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a. Interest rate b. EAR 9.41 % 10.61 % Is your answer affected by the loan amount? No Yes
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