Section 3: Basic Financial Functions

41

Keystrokes

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12z

27.33

Twenty-seven years and four months.

Because the calculator rounds the calculated value of n up to the next higher integer, in the preceding example it is likely that — while 328 payments will be required to pay off the loan — only 327 full payments of $325 will be required, the next and final payment being less than $325. You can calculate the final, fractional, 328th payment as follows:

Keystrokes

Display

328n

328.00

M

181.89

Stores total number of payments.*Calculates FV — which equals the overpayment if 328 full payments were made.

:P

–325.00

Recalls payment amount.

+

–143.11Final, fractional payment.

Alternatively, you could make the fractional payment together with the 327th payment. (Doing so will result in a somewhat smaller total of all payments, since you will not have to pay interest during the 328th payment period.) You can calculate this final, larger, 327th payment (essentially a balloon payment) as follows:

Keystrokes

Display

327n

327.00

M

–141.87
Stores number of full payments.Calculates FV — which is the balance remaining after 327 full payments.

:P

–325.00

Recalls payment amount.

+

–466.87Final, balloon payment.

Instead of having a fractional (or balloon) payment at the end of the loan, you might wish to make 327 or 328 equal payments. Refer to “Calculating the Payment Amount” on page 46 for a complete description of this procedure.

*You could skip this step, since 328 is already stored in the n register. If you do so, however, you will need to press Mtwice in the next step (for the reason discussed in the first footnote on page 32; you would not have to press Mtwice if you had not pressed 12zafter win the example above.) We choose to show this and the following example in a parallel format so that the procedure is easy to remember: the number you key is the number of the final payment — either the fractional payment or the balloon payment — whose amount is to be calculated.

File name: hp 12c_user's guide_English_HDPMBF12E44

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Printered Date: 2005/7/29

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