An investor is considering the purchase of a small office building. The NOI is expected to be the following: year 1, $200,000; year 2, $210,000; year 3, $220,000; year 4, $230,000; year 5, $240,000. The property will be sold at the end of year 5 and the investor believes that the property value should have appreciated at a rate of 3 percent per year during the five-year period. The investor plans to pay all cash for the property and wants to earn a 10 percent return on investment (IRR) compounded annually. a. What should be the property value (REV) at the end of year 5 in order for the investor to earn the 10% IRR? b. What should be the present value of the property today? c. Based on your answer in (b), if the building could be reproduced for $2,300,000 today, what would be the underlying value of the land? O $3,420,843; $2,950,850; $650,850 O $3,528,887; $2,590,850; $725,250 O $3,720,786; $2,476,180; $665,450

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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An investor is considering the purchase of a small office building.
The NOI is expected to be the following: year 1, $200,000; year 2,
$210,000; year 3, $220,000; year 4, $230,000; year 5, $240,000.
The property will be sold at the end of year 5 and the investor
believes that the property value
should have appreciated at a rate of 3 percent per year during the
five-year period. The investor plans to pay all cash for the property
and wants to earn a 10 percent return on investment (IRR)
compounded annually.
a. What should be the property value (REV) at the end of year 5 in
order for the investor to earn the 10% IRR?
b. What should be the present value of the property today?
c. Based on your answer in (b), if the building could be
reproduced for $2,300,000 today, what would be the underlying
value of the land?
O $3,420,843; $2,950,850; $650,850
O $3,528,887; $2,590,850; $725.250
O $3,720.786; $2,476,180; $665.450
Transcribed Image Text:An investor is considering the purchase of a small office building. The NOI is expected to be the following: year 1, $200,000; year 2, $210,000; year 3, $220,000; year 4, $230,000; year 5, $240,000. The property will be sold at the end of year 5 and the investor believes that the property value should have appreciated at a rate of 3 percent per year during the five-year period. The investor plans to pay all cash for the property and wants to earn a 10 percent return on investment (IRR) compounded annually. a. What should be the property value (REV) at the end of year 5 in order for the investor to earn the 10% IRR? b. What should be the present value of the property today? c. Based on your answer in (b), if the building could be reproduced for $2,300,000 today, what would be the underlying value of the land? O $3,420,843; $2,950,850; $650,850 O $3,528,887; $2,590,850; $725.250 O $3,720.786; $2,476,180; $665.450
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