Sharp EL733A EL-733A Operation Manual - Page 51
Itttt, 2ndFJ
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Solution: The above paragraph contains a lot of wasted words. But so do most real life situations (and test problems often have redundant information thrown in to lead you off track). You are looking for an investment. The above investment offers you a monthly income of $1'064.87 for the next 23 years. That is all you need to know in order to do the calculation! The information about the house and the original terms of the contract is unnecessary (other than for you to use in weighing the security of the investment). You have to pay some money up front in order to gain the right to receive that monthly income of $1064.87. You want that amount to be such that your investment yields 14% APR. The cash-flow schedule looks like this: PMT = 1'064.87 FV = 0 Itttt 1PV =? 127:271112721273127412717 i =14 -.L 12 n =23 X 12 The keystrokes are as follows: (Mode: FIN) 14 (2ndFJ Ej ®1200364rLa.8Ti7) 9,91 Result: -87'559.08 In order to yield 14% APR compounded monthly by purchasing the contract, buy it for $87'559.08. Question: If the asking price is $95'000, what will be your yield? Answer: Change the PV and recalculate the periodic interest rate. Once you have the periodic interest rate, annualize it by multiplying by 12. 95'000 +/-I ET) CumP) M (pause) Ej 12 Result: 12.72 Is that close enough to your desired return? If not, make them an offer. So all those words boil down to a simple PV calculation. By storing your desired yield of 14% as the interest rate, the calculated PV is the amount you need to pay in order to yield 14% on the investment.