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You are looking at a one-year loan of $20,000. The interest rate is quoted as 7%...

You are looking at a one-year loan of $20,000. The interest rate is quoted as 7% plus four points. A point on a loan is 1% point of the loan amount. Quotes similar to this one are very common with home mortgages. The interest rate quotation in this example requires the borrower to pay four points to the lender up front and repay the loan later with 7% interest.

A. What rate would you actually be paying here?

B. What is the EAR for a one-year loan with a quoted interest rate of 10% plus two points?

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Answer #1

1) Gross loan 20000

No. of points 4

Amount paid upfront 800

Net loan 19200

Payback @ 7% 21400

EAR 11.46% (21400-19200)/19200

2) Let loan be 100

No. of points 2

Amount paid upfront 2

Net loan 98

Payback @ 10% 110

EAR 12.24% (110-98)/98

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