An investor would like to purchase a new apartment property for $2 million. However, she faces the decision of whether to use 70 percent or 80 percent financing. The 70 percent loan can be obtained at 10 percent interest for 25 years. The 80 percent loan can be obtained at 11 percent interest for 25 years. NOI is expected to be $190,000 per year and increase at 3 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 over27.5 years (1 ÷ 27.5 per year). The project is expected to be sold after five years. Assume a 36 percent tax bracket for all income and capital gains taxes. a. What would the BTIRR and ATIRR be at each level of financing (assume monthly mortgage amortization)? BTIRR ATIRR 70% Loan 80% Loan % 1% % %
An investor would like to purchase a new apartment property for $2 million. However, she faces the decision of whether to use 70 percent or 80 percent financing. The 70 percent loan can be obtained at 10 percent interest for 25 years. The 80 percent loan can be obtained at 11 percent interest for 25 years. NOI is expected to be $190,000 per year and increase at 3 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 over27.5 years (1 ÷ 27.5 per year). The project is expected to be sold after five years. Assume a 36 percent tax bracket for all income and capital gains taxes. a. What would the BTIRR and ATIRR be at each level of financing (assume monthly mortgage amortization)? BTIRR ATIRR 70% Loan 80% Loan % 1% % %
Chapter5: The Time Value Of Money
Section: Chapter Questions
Problem 16P
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![An investor would like to purchase a new apartment property for $2 million. However, she faces the decision of whether to use 70
percent or 80 percent financing. The 70 percent loan can be obtained at 10 percent interest for 25 years. The 80 percent loan can be
obtained at 11 percent interest for 25 years.
NOI is expected to be $190,000 per year and increase at 3 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 over27.5 years (1 ÷ 27.5 per
year). The project is expected to be sold after five years. Assume a 36 percent tax bracket for all income and capital gains taxes.
a. What would the BTIRR and ATIRR be at each level of financing (assume monthly mortgage amortization)?
BTIRR
ATIRR
70% Loan
80% Loan
%
%
b. What is the break-even interest rate (BEIR) for this project?
%
%
%](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22af0c68-082c-469c-b3c4-30c724d4709c%2F353c8933-ef41-446c-902a-d2e64a137c94%2Flqa2zq4_processed.png&w=3840&q=75)
Transcribed Image Text:An investor would like to purchase a new apartment property for $2 million. However, she faces the decision of whether to use 70
percent or 80 percent financing. The 70 percent loan can be obtained at 10 percent interest for 25 years. The 80 percent loan can be
obtained at 11 percent interest for 25 years.
NOI is expected to be $190,000 per year and increase at 3 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 over27.5 years (1 ÷ 27.5 per
year). The project is expected to be sold after five years. Assume a 36 percent tax bracket for all income and capital gains taxes.
a. What would the BTIRR and ATIRR be at each level of financing (assume monthly mortgage amortization)?
BTIRR
ATIRR
70% Loan
80% Loan
%
%
b. What is the break-even interest rate (BEIR) for this project?
%
%
%
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