Levels Tought:
Elementary,Middle School,High School,College,University,PHD
Teaching Since: | Apr 2017 |
Last Sign in: | 328 Weeks Ago, 2 Days Ago |
Questions Answered: | 3232 |
Tutorials Posted: | 3232 |
MBA,MCS,M.phil
Devry University
Jan-2008 - Jan-2011
MBA,MCS,M.Phil
Devry University
Feb-2000 - Jan-2004
Regional Manager
Abercrombie & Fitch.
Mar-2005 - Nov-2010
Regional Manager
Abercrombie & Fitch.
Jan-2005 - Jan-2008
Your uncle Fred just purchased a new boat. He brags to you about the low X% | Â | Â | ||||||
interest rate (APR, monthly compounding) he obtained from the dealer. The | Â | Â | ||||||
rate is even lower than the rate he could have obtained on his home equity loan | Â | Â | ||||||
(Y% APR, monthly compounding). But if his tax rate isZ% and the interest on | Â | Â | ||||||
the home equity loan is tax deductible, which loan is truly cheaper? | Â | Â | Â | |||||
 |  |  |  |  |  |  |  |  |
X% interest rate = | 6.9% | Â | Â | Â | Â | Â | Â | |
Y% equity loan rate= | 7.9% | Â | Â | Â | Â | Â | Â | |
tax rate Z = | 28.0% | Â | Â | Â | Â | Â | Â | |
 |  |  |  |  |  |  |  |  |
Solution | Â | Â | Â | Â | Â | Â | Â | Â |
Because taxes are typically paid annually, we first convert the home equity | Â | Â | ||||||
loan to an EAR to determine the actual amount of interest during the year. | Â | Â | ||||||
 |  |  |  |  |  |  |  |  |
The after tax cost of the home equity loan, which is tax-deductible is: | Â | Â | Â | |||||
 |  |  |  |  |  |  |  |  |
After-tax cost= [(1+APR/12)^12 -1]*(1-t) | Â | Â | Â | Â | Â | |||
 |  |  |  |  |  |  |  |  |
After-tax cost = | 5.90% | Â | Â | Â | Â | Â | Â | |
 |  |  |  |  |  |  |  |  |
Since the dealer's boat loan is not tax-deductible, we only need to calculate the EAR | Â | Â | ||||||
of the loan and compare them. | Â | Â | Â | Â | Â | Â | ||
 |  |  |  |  |  |  |  |  |
Dealer's boat loan= | 7.12% | Â | Â | Â | Â | Â | Â | |
 |  |  |  |  |  |  |  |  |
The home equity loan at rate | 5.90% | is cheaper than the boat loan at | 7.12% | Â | ||||
Thus Uncle Fred should choose the home equity loan |
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