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21_044039 ch16.qxp  11/21/06  11:07 AM  Page 293
                                                                               Creating Formulas for Financial Applications
                                       TABLE 16.1
                                                        Description
                                       Function Argument
                                                        The interest rate per period. If the rate is expressed as an annual interest rate, you must divide it
                                       rate
                                                        by the number of periods.
                                       nper
                                                        The total number of payment periods.
                                       per
                                                        A particular period. The period must be less than or equal to nper.
                                                        The payment made each period (a constant value that does not change).
                                       pmt
                                                        The future value after the last payment is made. If you omit fv, it is assumed to be 0. (The future
                                       fb
                                                        value of a loan, for example, is 0.)
                                       type
                                                        Indicates when payments are due — either 0 (due at the end of the period) or 1 (due at the
                                                        beginning of the period). If you omit type, it is assumed to be 0.
                                             The PMT function   Financial Function Arguments                                 16
                                             The PMT function returns the loan payment (principal plus interest) per period, assuming constant payment
                                            amounts and a fixed interest rate. The syntax for the PMT function is
                                                 PMT(rate,nper,pv,fv,type)
                                             The following formula returns the monthly payment amount for a $5,000 loan with a 6 percent annual per-
                                             centage rate. The loan has a term of four years (48 months).
                                                 =PMT(.06/12,48,-5000)
                                             This formula returns $117.43, the monthly payment for the loan. Notice that the third argument (pv, for
                                            present value) is negative and represents money owed.
                                             The PPMT function
                                             The PPMT function returns the principal part of a loan payment for a given period, assuming constant pay-
                                            ment amounts and a fixed interest rate. The syntax for the PPMT function is
                                                 PPMT(rate,per,nper,pv,fv,type)
                                             The following formula returns the amount paid to principal for the first month of a $5,000 loan with a 6
                                             percent annual percentage rate. The loan has a term of four years (48 months).
                                                 =PPMT(.06/12,1,48,-5000)
                                             The formula returns $92.43 for the principal, which is about 78.7 percent of the total loan payment. If I
                                             change the second argument to 48 (to calculate the principal amount for the last payment), the formula
                                             returns $116.84, or about 99.5 percent of the total loan payment.
                                          NOTE         To calculate the cumulative principal paid between any two payment periods, use the
                                          NOTE
                                                       CUMPRINC function. This function uses two additional arguments: start_period and
                                             end_period. In Excel versions prior to Excel 2007, the CUMPRINC is available only when you install the
                                            Analysis ToolPak add-in.
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