# The Pourans purchased a new home for $378,000 with a down payment of $127,000. They obtained a 10-year adjustable rate

## Question:

The Pourans purchased a new home for $378,000 with a down payment of $127,000. They obtained a 10-year adjustable rate mort-gage with the following terms. The interest rate is based on the one-year Treasury bill rate, which is currently at 2.5%, and the add-on rate, which is 3.5%. The initial rate period is 5 years, and thereafter the interest rate is adjusted once a year and a new monthly mortgage payment is calculated.

(a) Determine the Pourans’ initial ARM rate.

(b) Determine the Pourans’ initial monthly payment for principal and interest.

(c) If, after the 5-year initial rate period, the rate of the one-year Treasury bill falls to 1.5%, determine the Pourans’ new ARM rate.

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**Related Book For**

## A Survey of Mathematics with Applications

**ISBN:** 978-0134112107

10th edition

**Authors:** Allen R. Angel, Christine D. Abbott, Dennis Runde

**Question Details**

**10**- Consumer Mathematics

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