Question

A homeowner can obtain a $250,000, 30-year fixed-rate mortgage at a rate of 3.0 percent with zero points or at a rate of 2.85
The quoted ask yield on a 12 year $1000 par T-Bond with a 5% coupon and a price quote of 106-10 is (use semiannual compoundin
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Answer #1

Given.

Mortgage amount = $250000

Loan period = 30 years

Interest rate without points = 3.0%

interest rate with points = 2.85%

Point = 1 or 1% or 0.01

Solution :-

PV = $250000 rate (0) = 3% = 0.25%. Og 0.0025 monthly No. of months n = 30 years x 12 = 360 let monthy payment be À Now, PorsThus, net present value of paying the points is $2364

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