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Loan Analyzer
This calculator has been superseded by the new
Loan Discount Analzyer calculator.
Students and their families often have trouble evaluating student
loans because of the many ways in which they can differ. Common
differences include loan fees, interest rates, repayment terms,
interest capitalization and prompt payment incentives. It isn't
entirely obvious that a loan with a 4% fee and a 9% interest
rate is worse than a loan with a 5% fee and an 8% interest
rate. (A good rule of thumb is that an extra 1% in the interest rate
costs more than a 1 point increase in the fees.) Likewise, loans with
different repayment terms are hard to compare, because increasing the
loan term actually decreases the APR, even though the borrower will
pay more interest over the lifetime of the loan.
When banks evaluate a loan, they calculate the loan's
Net Present Value
(NPV). The NPV measures how much money you'd have to have right now,
earning a specified rate of return (called the discount rate), so that
this pool of money could be used to make the payments on the loan with
no money left over at the end. But calculating the NPV is beyond the
scope of this calculator, so we calculate an approximation that is
related to the NPV.
The purpose of this calculator is to boil down a loan's
characteristics into a single number that we're calling the loan's
K-Factor. The K-Factor analysis isn't perfect, because it
operates under assumptions that interfere with some prompt payment
plans, but it does seem to be a reasonable first attempt at comparing
the various educational loans from a borrower perspective.
To arrive at the K-Factor for a loan, this calculator assumes that the
borrower wants to receive $10,000 for his or her education after all
fees have been deducted and wants to make payments of $150 a month,
regardless of the other characteristics of the loan. The K-Factor is
the number of payments required to repay the loan under these
assumptions. The idea is to hold constant the factors that really matter to
the borrower - the amount received up front and the amount paid per
month - and see how the loans vary. The lower a loan's
K-Factor, the better the loan.
The K-Factor tries to convert a complicated loan into one that can be
thought of as having known cash flows with a known duration. The K-APR
is essentially the APR calculated for this converted loan. The NPV of
payments using the K-APR as the discount rate will approximately equal
the net proceeds of the loan. As such, the K-Factor and K-APR should
imply the same loan rankings.
This calculator is not intended for evaluating credit card
rates. Even though the K-APR for loans with capitalized interest might
seem to be in the same ballpark as the interest rate on some credit
cards, students should not conclude that credit cards are therefore
cheaper. Capitalizing interest does explode the total repayment, but
the results should be compared with loans that capitalize the
interest, not credit cards. If a student must compare the results with
credit card rates, treat the student loan as though it were subsidized
for the purpose of the comparison.
The cost of the loan is but one of several factors a student should
consider while selecting the loan. Other factors include:
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