You are considering an option to purchase or rent a single residential property. You can rent it for $2,000 per month and the owner would be responsible for maintenance, property insurance, and property taxes. Alternatively, you can purchase this property for $200,000 and finance it with an 80 percent mortgage loan at 4 percent fixed-rate interest that will fully amortize over a 30-year period. The loan requires monthly payments. The loan can be prepaid at any time with no penalty. You have done research in the market area and found that (1) properties have historically appreciated at an annual rate of 2 percent per year, and rents on similar properties have also increased at 2 percent annually; (2) maintenance and insurance are currently $1,500.00 each per year and they have been increasing at a rate of 3 percent per year; (3) you are in a 24 percent marginal tax rate and plan to occupy the property as your principal residence for at least four years; (4) the capital gains exclusion would apply when you sell the property; (5) selling costs would be 7 percent in the year of the sale, and (6) property taxes have generally been about 2 percent of property value each year. Based on this information you must decide: a. In order to earn a 10% IRR after taxes on your equity, should you buy the property or rent it for a four-year period of ownership? (Show and explain all necessary calculations.)   b. What if your expected period of ownership was to change to five years. Would owning or renting be better if you wanted to earn a 10% IRR after taxes? (Show and explain all necessary calculations.)   c. Approximately what level of rents would make you indifferent between owning and renting for a four-year period? Assume a 5% after-tax IRR would be the minimum you would need to earn on capital invested in the home. (Show and explain all necessary calculations.)

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
Problem 1PS
icon
Related questions
Question

You are considering an option to purchase or rent a single residential property. You can rent it for $2,000 per month and the owner would be responsible for maintenance, property insurance, and property taxes. Alternatively, you can purchase this property for $200,000 and finance it with an 80 percent mortgage loan at 4 percent fixed-rate interest that will fully amortize over a 30-year period. The loan requires monthly payments. The loan can be prepaid at any time with no penalty.

You have done research in the market area and found that (1) properties have historically appreciated at an annual rate of 2 percent per year, and rents on similar properties have also increased at 2 percent annually; (2) maintenance and insurance are currently $1,500.00 each per year and they have been increasing at a rate of 3 percent per year; (3) you are in a 24 percent marginal tax rate and plan to occupy the property as your principal residence for at least four years; (4) the capital gains exclusion would apply when you sell the property; (5) selling costs would be 7 percent in the year of the sale, and (6) property taxes have generally been about 2 percent of property value each year.

Based on this information you must decide:

a. In order to earn a 10% IRR after taxes on your equity, should you buy the property or rent it for a four-year period of ownership? (Show and explain all necessary calculations.)

 

b. What if your expected period of ownership was to change to five years. Would owning or renting be better if you wanted to earn a 10% IRR after taxes? (Show and explain all necessary calculations.)

 

c. Approximately what level of rents would make you indifferent between owning and renting for a four-year period? Assume a 5% after-tax IRR would be the minimum you would need to earn on capital invested in the home. (Show and explain all necessary calculations.)

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Mortgages
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Essentials Of Investments
Essentials Of Investments
Finance
ISBN:
9781260013924
Author:
Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:
Mcgraw-hill Education,
FUNDAMENTALS OF CORPORATE FINANCE
FUNDAMENTALS OF CORPORATE FINANCE
Finance
ISBN:
9781260013962
Author:
BREALEY
Publisher:
RENT MCG
Financial Management: Theory & Practice
Financial Management: Theory & Practice
Finance
ISBN:
9781337909730
Author:
Brigham
Publisher:
Cengage
Foundations Of Finance
Foundations Of Finance
Finance
ISBN:
9780134897264
Author:
KEOWN, Arthur J., Martin, John D., PETTY, J. William
Publisher:
Pearson,
Fundamentals of Financial Management (MindTap Cou…
Fundamentals of Financial Management (MindTap Cou…
Finance
ISBN:
9781337395250
Author:
Eugene F. Brigham, Joel F. Houston
Publisher:
Cengage Learning
Corporate Finance (The Mcgraw-hill/Irwin Series i…
Corporate Finance (The Mcgraw-hill/Irwin Series i…
Finance
ISBN:
9780077861759
Author:
Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor
Publisher:
McGraw-Hill Education