Assignment 3_RE410_2023

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University of Wisconsin, Madison *

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410

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Finance

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Jan 9, 2024

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RE EST 410 Assignment #3 1. You need to borrow $3,500,000 to finance the purchase of an apartment building. You have two loan alternatives to choose from. The first alternative has 7.1 percent interest for 30 years, with 3 points to be included in closing costs. The second alternative has 7.5 percent interest for 30 years, with 1 point to be included in the closing costs. a. If the loan is repaid after 10 years, which alternative would be the better choice? b. If the loan is repaid after five years, which alternative is the better choice? 2. You have requested a loan of $3,800,000 for 25 years. Current market terms are7.75 percent interest for 20 years. After extra credit analysis and the fact that you have never borrowed such a large sum before, the lender decides to extend to you an FRM commitment for $3,500,000 at 7.25 percent interest for 20 years; The lender also expects that market rates will move upward very soon, perhaps even before the loan is closed. To be on the safe side, the lender wants to charge a loan origination fee to make the mortgage loan yield 7.75 percent. a. What origination fee should the lender charge? b. What fee should be charged if it is expected that the loan that will be repaid after 5 years? 3. You have been approved for a $37,500,000, 30-year FRM at 7.5% interest rate. In addition to charging 1 discount point, the lender will also receive 30% of any appreciation in the value of the property. The appreciation payment is due at the end of year 10. The current market value of the property is $40,000,000, and it is expected to increase at the inflation rate of 2.0%/yr. If the loan is expected to be prepaid in 10 years, what is the expected yield to the lender? 4. You have decided to purchase an industrial property for $40,000,000. A lender offers you 70 percent LTV loan for 20 years at 8.25 percent interest; however, 1.5 discount points will also be necessary for you to obtain this loan. a. What is the effective interest cost to the borrower, assuming that the mortgage is paid off after 20 years (full term)? b. Assume the lender also imposes a prepayment penalty of 2.5 percent of the outstanding loan balance if the loan is repaid within eight years of closing. If you repay the loan after five years with the prepayment penalty, what is the effective interest cost?
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