The NOI for a small income property is expected to be $155,400 for the first year. Financing will be based on a 1.2 DCR applied to the first year NOI, will have a 10 percent interest rate, and will be amortized over 20 years with monthly payments. The NOI will increase 5 percent per year after the first year. The investor expects to hold the property for five years. The resale price is estimated by applying a 9 percent terminal capitalization rate to the sixth-year NOI. Investors require a 15 percent rate of return on equity (equity yield rate) for this type of property. Required: a. What is the present value of the equity interest in the property? b. What is the total present value of the property (mortgage and equity interests)? c. Based on your answer to part (b), what is the implied overall capitalization rate?

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
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The NOI for a small income property is expected to be $155,400 for the first year. Financing will be based on a 1.2 DCR applied to the first year NOI, will have a 10 percent
interest rate, and will be amortized over 20 years with monthly payments. The NOI will increase 5 percent per year after the first year. The investor expects to hold the
property for five years. The resale price is estimated by applying a 9 percent terminal capitalization rate to the sixth-year NOI. Investors require a 15 percent rate of return on
equity (equity yield rate) for this type of property.
Required:
a. What is the present value of the equity interest in the property?
b. What is the total present value of the property (mortgage and equity interests)?
c. Based on your answer to part (b), what is the implied overall capitalization rate?
Transcribed Image Text:The NOI for a small income property is expected to be $155,400 for the first year. Financing will be based on a 1.2 DCR applied to the first year NOI, will have a 10 percent interest rate, and will be amortized over 20 years with monthly payments. The NOI will increase 5 percent per year after the first year. The investor expects to hold the property for five years. The resale price is estimated by applying a 9 percent terminal capitalization rate to the sixth-year NOI. Investors require a 15 percent rate of return on equity (equity yield rate) for this type of property. Required: a. What is the present value of the equity interest in the property? b. What is the total present value of the property (mortgage and equity interests)? c. Based on your answer to part (b), what is the implied overall capitalization rate?
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