HP 40gs HP 39gs_40gs_Mastering The Graphing Calculator_English_E_F2224-90010.p - Page 104
Modeling loans, containing time
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Modeling loans Suppose that I need to see the progress of a loan of $10,000 at a compound interest of 5.5% p.a. calculated each quarter, starting Jan. 1 1995, with a quarterly repayment rate of $175. This problem can be modeled by a sequence. To do this, set up U1 and U2 as shown above. The first sequence U1 simply models the year, showing the quarters as .25, .5 and .75. The second sequence U2 models the loan itself. Each quarter the remaining balance is multiplied by 1 + 0.055/4 and then the repayment of $175 is subtracted. You can now follow the progress of the loan in the NUM view, with U1 containing time and U2 the amount owing at the start of each time period, showing it is repaid during the first quarter of 2023. In reality this type of problem is more easily handled in the Finance aplet (see page 155). The Finance aplet has abilities that are specifically aimed at financial problems and allows you to solve for all parameters rather than simply modeling the problem as was done above. 104
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