Corporate Finance
Corporate Finance
3rd Edition
ISBN: 9780132992473
Author: Jonathan Berk, Peter DeMarzo
Publisher: Prentice Hall
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Chapter 5, Problem 15P

You have just sold your house for $1,000,000 in cash. Your mortgage was originally a 30-year mortgage with monthly payments and an initial balance of $800,000. The mortgage is currently exactly 18 1 2 years old, and you have just made a payment. If the interest rate on the mortgage is 5.25% (APR), how much cash will you have from the sale once you pay off the mortgage?

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You are considering an option to purchase or rent a single residential property. You can rent it for $5,000 per month and the owner would be responsible for maintenance, property insurance, and property taxes. Alternatively, you can purchase this property for $204,500 and finance it with an 80 percent mortgage loan at 4 percent interest that will fully amortize over a 30-year period. The loan can be prepaid at any time with no penalty. You have done research in the market area and found that (1) properties have historically appreciated at an annual rate of 2 percent per year, and rents on similar properties have also increased at 2 percent annually; (2) maintenance and insurance are currently $1,545.00 each per year and they have been increasing at a rate of 3 percent per year; (3) you are in a 24 percent marginal tax rate and plan to occupy the property as your principal residence for at least four years; (4) the capital gains exclusion would apply when you sell the property; (5)…

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