Assume that a lender offers a 30-year, $147,000 adjustable rate mortgage (ARM) with the following terms: Initial interest rate=7.5 percent Index = one-year Treasurles Payments reset each year Margin=2 percent Interest rate cap 1 percent annually, 3 percent lifetime Discount points=2 percent Fully amortizing; however, negative amortization allowed if interest rate caps reached Based on estimated forward rates, the index to which the ARM is tied is forecasted as follows: Beginning of year (BOM) 2-7 percent: (BOY) 3 8.5 percent; (BOY) 4 9.5 percent, (BOY) 5-11 percent. Required: a. Compute the payments and loan balances for the ARM for the five-year period. b. Compute the yield for the ARM for the five-year period.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter19: Lease And Intermediate-term Financing
Section: Chapter Questions
Problem 12P
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Assume that a lender offers a 30-year, $147,000 adjustable rate mortgage (ARM) with the following terms:
Initial interest rate=7.5 percent
Index one-year Treasurles
Payments reset each year.
Margin=2 percent
Interest rate cap=1 percent annually. 3 percent lifetime
Discount points=2 percent
Fully amortizing; however, negative amortization allowed if interest rate caps reached
Based on estimated forward rates, the index to which the ARM is tied is forecasted as follows: Beginning of year (BOM) 2-7 percent:
(BOY) 3 8.5 percent; (BOY) 4 9.5 percent; (BOY) 5-11 percent.
Required:
a. Compute the payments and loan balances for the ARM for the five-year period.
b. Compute the yield for the ARM for the five-year period.
Transcribed Image Text:ces Assume that a lender offers a 30-year, $147,000 adjustable rate mortgage (ARM) with the following terms: Initial interest rate=7.5 percent Index one-year Treasurles Payments reset each year. Margin=2 percent Interest rate cap=1 percent annually. 3 percent lifetime Discount points=2 percent Fully amortizing; however, negative amortization allowed if interest rate caps reached Based on estimated forward rates, the index to which the ARM is tied is forecasted as follows: Beginning of year (BOM) 2-7 percent: (BOY) 3 8.5 percent; (BOY) 4 9.5 percent; (BOY) 5-11 percent. Required: a. Compute the payments and loan balances for the ARM for the five-year period. b. Compute the yield for the ARM for the five-year period.
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