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Should I Buy or Rent? A mathematical guide to help you keep up with the Joneses

1 July 2011

ROI sensitivity to housing growth

Baseline scenario

Baseline conditions:

  • $250,000 purchase
  • 10% down payment
  • 25 year amortization
  • 10% investment target
  • $900/month rental cost

This graph shows the sensitivity of the mortgage ROI as function of housing growth and interest rates.

We can see with our baseline scenario that buying in a tepid housing market doesn’t make a lot of financial sense.

In an average housing market, like Toronto, there is an inflection point at 6%. You are better off renting at interest rates above 6%, while there is a financial incentive to buy at interest rates below 6%.

Our high growth housing market offers not financial incentive to rent, even at high interest.

$600 monthly rent scenario

This graph shows the sensitivity with $600 rent.

Page 1      ROI sensitivity to monthly rent
Page 2      ROI sensitivity to housing growth
Page 3      ROI sensitivity to investment options
Page 4      ROI sensitivity to down payment
Page 5      Principle paid to mortgage ratio
Page 6      Canadian housing markets
Page 7      Conclusion

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