Question
An adjustable rate mortgage (ARM) loan is made for $150,000 for 30 years with the following terms: Compounding frequency = monthly Initial interest rate =
An adjustable rate mortgage (ARM) loan is made for $150,000 for 30 years with the following terms:
Compounding frequency = monthly
Initial interest rate = 5% per year
Index = 1-year government bond rate
Payments reset each year
Margin = 2% Interest rate cap = none
Payment cap = 20% increase in any year
Discount points = 2% Fully amortising loan, and negative amortisation is allowed if payment cap is reached.
Based on estimated forward rates, the index (1-year government bond rate) to which the ARM is tied is forecasted to be 6% at the beginning of year 2 (coinciding with the loan payment reset).
Calculate yield of the ARM for the first 2-year period of the loan?
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