An investor would like to purchase a new office property for $2.2 million. However, they faces the decision of whether to use 70 percent or 80 percent financing. The 70 percent loan can be obtained at 4 percent interest for 20 years. The 80 percent loan can be obtained at 5 percent interest for 20 years. NOI is expected to be $150,000 per year and increase at 2 percent annually, the same rate at which the property is expected to increase in value. The building and improvements represent 80 percent of value and will be depreciated over 39 years (1 ÷ 39 per year with no mid-month convention for year 1). The project is expected to be sold after five years. Assume a 35 percent tax bracket for ordinary income, a 25 percent for depreciation recapture, and 20 percent for capital gains taxes. Required: What would the BTIRR and ATIRR be at each level of financing (assume monthly mortgage amortization)? What is the break-even interest rate (BEIR) for this project? What is the marginal cost of the 80 percent loan? Does each loan offer favorable financial leverage?

Principles of Accounting Volume 2
19th Edition
ISBN:9781947172609
Author:OpenStax
Publisher:OpenStax
Chapter11: Capital Budgeting Decisions
Section: Chapter Questions
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An investor would like to purchase a new office property for $2.2 million. However, they faces the decision of whether to use 70 percent or 80 percent financing. The 70 percent loan can be obtained at 4 percent interest for 20 years. The 80 percent loan can be obtained at 5 percent interest for 20 years.

NOI is expected to be $150,000 per year and increase at 2 percent annually, the same rate at which the property is expected to increase in value. The building and improvements represent 80 percent of value and will be depreciated over 39 years (1 ÷ 39 per year with no mid-month convention for year 1). The project is expected to be sold after five years. Assume a 35 percent tax bracket for ordinary income, a 25 percent for depreciation recapture, and 20 percent for capital gains taxes.

Required:

  1. What would the BTIRR and ATIRR be at each level of financing (assume monthly mortgage amortization)?
  2. What is the break-even interest rate (BEIR) for this project?
  3. What is the marginal cost of the 80 percent loan?
  4. Does each loan offer favorable financial leverage?
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