An ARM is made for $220,000 for 30 years with the following terms: Initial interest rate = 7 percent Index = 1−year Treasuries Payments reset each year Margin = 2 percent Interest rate cap = None Payment cap = 5 percent increase in any year Discount points = 2 percent Fully amortizing; however, negative amortization allowed if payment cap reached Based on estimated forward rates, the index to which the ARM is tied is forecasted as follows: Beginning of year (BOY) 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
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 29P
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An ARM is made for $220,000 for 30 years with the following terms: Initial interest rate = 7 percent Index = 1−year Treasuries Payments reset each year Margin = 2 percent Interest rate cap = None Payment cap = 5 percent increase in any year Discount points = 2 percent Fully amortizing; however, negative amortization allowed if payment cap reached Based on estimated forward rates, the index to which the ARM is tied is forecasted as follows: Beginning of year (BOY) 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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