# You are considering the purchase of a quadruplex apartment building.

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B1. You are considering the purchase of a quadruplex apartment building. Effective gross income during the first year of operations is expected to be \$33,600 (\$700 per month per unit). First-year operating expenses are expected to be \$13,440 (at 40 percent of EGI). Ignore capital expenditures. The purchase price of the quadruplex is \$200,000. The acquisition will be financed with \$60,000 in equity and a \$140,000 standard fixed-rate mortgage. The interest rate on the debt financing is 8 percent and the loan term is 30 years. Assume, for simplicity, that payments will be made annually and that there are no up-front financing costs.
a. What is the overall capitalization rate?
b. What is the effective gross income multiplier?
c. What is the equity dividend rate (the before-tax return on equity)?
d. What is the debt coverage ratio?
e. Assume the lender requires a minimum debt coverage ratio of 1.2. What is the largest loan that you could obtain if you decide that you want to borrow more than \$140,000?

2. An office building is purchased with the following projected cash flows:
• NOI is expected to be \$130,000 in year 1 with 5 percent annual increases.
• The purchase price of the property is \$720,000.
• 100 percent equity financing is used to purchase the property.
• The property is sold at the end of year 4 for \$860,000 with selling costs of 4 percent.
• The required unlevered rate of return is 14 percent.
a. Calculate the unlevered internal rate of return (IRR).
b. Calculate the unlevered net present value (NPV).

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