Borrowing out of necessity or opportunity

In his book “Borrow Smart Retire Rich” Todd Ballenger discusses the concept of borrowing money out of opportunity versus necessity and at the same time does a nice job of describing financial arbitrage:

Most of us have borrowed out of necessity for houses, cars, or other purchases.  Let’s say you borrow money from a local bank for your house at 7%, the same bank where you deposit your pay check each month.  When you make a deposit to your checking account, you loan the use and control of your money to the bank for a little interst, say 2%.  The bank as a professinoal creditor lends the use and control of their money back to you at 7%.  The bank earnes a 5% spread lending your money back to you.  You borrowed out of necessity, while the bank provided a loan based on opportunity.

Prepaying mortgage versus saving

Most people believe they should rid themselves of their mortgage before they save for other accumulation goals.  However, as Todd Ballenger pointed out in his book “Borrow Smart Retire Rich” this decision comes with hidden costs.

Here is an example, let’s assume a homeowner has $1,000 each month to either save or use to pay down their mortgage.  Let’s also assume that their mortgage carries an interest rate of 7.00% and that their savings/ investments will earn an after tax return of 7.00%.  Finally, we’ll assume that this homeowner has a 32% marginal tax bracket so their net after tax of borrowing is actually 4.76%.

Here is a breakdown of these two options over 30 years.
Amount invested: $1,000      $1,000
Return:                  4.76%        7.00%
Term (years):          30              30
Growth:             $796,282    $1,219,971

As you can see the decision to pay off the mortgage would cost this homeowner over $400,000 over the course of 30 years.