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*The rent on the apartment was adjusted at the start of each year and grew at a constant annual rate
*The rent on the apartment was adjusted at the start of each year and grew at a constant annual rate


Using only the information above (ignore all other expenses), approximate the annual rate of return for this real estate investment.
Using only the information above (ignore all other expenses), approximate the effective annual rate of return for this real estate investment.


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<li>24.26%</li>
<li>24.26%</li>
</ul>
</ul>
{{alert-warning | This exercise is too difficult and created for educational purposes only}}

Latest revision as of 23:22, 13 April 2024

You are given the following information about the purchase of a home:

  • The home was purchased on Jan 1 2010 for $300,000
  • The buyer used a 10-year mortgage to purchase the home with a down payment of $100,000
  • The nominal interest rate for the mortgage is 4%, payable at the end of every month
  • The buyer sold the home at the end of 2014 for $440,000
  • If the buyer hadn't purchased the home, he would have rented a three bedroom apartment. The monthly rent for a three bedroom apartment, payable at the beginning of the month, was $1,300 on Jan 1 2010 and $1,800 on Jan 1 2015
  • The rent on the apartment was adjusted at the start of each year and grew at a constant annual rate

Using only the information above (ignore all other expenses), approximate the effective annual rate of return for this real estate investment.

  • 15.26%
  • 18.26%
  • 20.26%
  • 22.26%
  • 24.26%

This exercise is too difficult and created for educational purposes only