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.
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.
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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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
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Step 1: Introduction
VIEWStep 2: Determination of Formula
VIEWStep 3: Evaluating the given Information
VIEWStep 4: Calculation of Monthly Interest Rate
VIEWStep 5: Calculation of Payments of each year
VIEWStep 6: Determination of Yield of the Mortgage
VIEWStep 7: Determination of Monthly IRR
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