1. Tim wants to buy an apartment that costs $750,000 with an 85% LTV mortgage. Tim got a 30 year, 3/1 ARM with an initial teaser rate of 3.75%. The reset margin on the loan is 300 basis points above 1 year CMT. There are no caps. The index was 1% at the time of origination. Tim also had to pay 1 point for this loan.
Suppose the index rate will remain 1% for the life of the loan. Compute the annualized IRR for this loan assuming Tim will prepay in 5 years.
2. Tom got a 30 year fully amortizing FRM for $500,000 at 8%, with constant monthly payments. After 3 years of payments rates fall and he can get a 27 year FRM at 5%, but he must pay 2 points and $1000 in closing costs to get the new loan. Think of the refinancing decision as an investment for Tom, he pays a fee now but saves money in the future in the form of lower payments. What is the annualized IRR of refinancing for Tom assuming he prepays the new loan 5 years after refinancing?
(Clarification: Tom will prepay the new loan 3+5=8 years after the house is purchased)