
Time value of money (TVM)
Time-value-of-money (TVM) calculations make use of the notion that a dollar today will be worth more than a
dollar sometime in the future. A dollar today can be invested at a certain interest rate and generate a return
that the same dollar in the future cannot. This TVM principle underlies the notion of interest rates, compound
interest, and rates of return.
There are seven TVM variables as follows:
Variable Description
N The total number of compounding periods or payments.
1%/YR The nominal annual interest rate (or investment rate). This rate is divided by the number of
payments per year (P/YR) to compute the nominal interest rate per compounding period. This is
the interest rate actually used in TVM calculations.
PV The present value of the initial cash ow. To a lender or borrower, PV is the amount of the loan;
to an investor, PV is the initial investment. PV always occurs at the beginning of the rst period.
P/YR The number of payments made in a year.
PMT The periodic payment amount. The payments are the same amount each period and the TVM
calculation assumes that no payments are skipped. Payments can occur at the beginning or the
end of each compounding period—an option you control by selecting or clearing the End option.
C/YR The number of compounding periods in a year.
FV The future value of the transaction: the amount of the nal cash ow or the compounded value
of the series of previous cash ows. For a loan, this is the size of the nal balloon payment
(beyond any regular payment due). For an investment, this is its value at the end of the
investment period.
Time value of money (TVM) 327
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