Assignment_4_RE410_2023

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University of Wisconsin, Madison *

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410

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Finance

Date

Jan 9, 2024

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docx

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1

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R EST 410 Assignment #4 1. You have the option of choosing between the following FRM and ARM loans. Both loan options are for 15 years, the loan amount is $9,000,000 and you anticipate to sell the property after five years. Both loans options come with 2 points. The interest rate on the FRM is 8%. The ARM loan option has the following features: Initial interest rate = 5.0 percent Index = 1-year Treasuries Payments adjusted each year Margin = 2.25 percent Interest rate cap = 2 percent annually; 4 percent lifetime Based on estimated forward rates computed from the yield curve on U.S. Treasury bills, the index to which the ARM is tied is forecasted as follows: EOY 1 = 5.7 percent; EOY 2 = 6.5 percent; EOY 3 = 7.7 percent; EOY 4 = 9.5 percent. Compute the payments, loan balances, and yield for the ARM for the five-year period. Which loan, ARM or FRM, has a higher effective interest rate? Show your work. 2. You purchased a small apartment building 5 years ago at a price of $6,000,000. You borrowed 70% of the property value at 7 percent amortized over 20 years. Mortgage rates have dropped, so that a new 20-year loan (in an amount equal to the balance of the original loan) can be obtained at 5.5 percent. There is no prepayment penalty on either loan, but two points will be charged on the new loan and other closing costs will be $55,000. Should you refinance if you plan to be in the building for (sell it after) 6 years? 3. You are considering two alternatives to finance the purchase of a small retail space at a price of $2,000,000. You can obtain either a 70% LTV loan at 6.5 percent for 20 years or a 60% LTV loan at 6 percent for 20 years and a second mortgage of 10% LTV at 10.5 percent for 20 years. a. Which alternative should the borrower choose, assuming he will be in the house for the full loan term? b. Would your answer change if the borrower plans to be in the home only four years?
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