Instructions for Using the Sharp EL range of Business/Financial Calculators These instructions are based on the Sharp EL-733A Business/Financial Calculator, and may vary slightly with different models. Digits or letters in blocks represent the keys on the calculator to be struck. Topic A: Net Present Value Consider the following information: o Investment: R100 000.00 o Income for Year 1: R10 000.00 o Income for Year 2: R20 000.00 o Income for Year 3: R30 000.00 o Income for Year 4: R40 000.00 o Income for Year 5: R50 000.00 Topic A, Step 1: Clearing the Memory In order to effectively perform financial calculations the calculator's memory must be cleared of all data. This is achieved as follows: 0 xÎM and then 2nd F CyCE Topic A, Step 2: Establish "Financial Mode" In order to perform financial calculations, the calculator must be in financial mode. The Sharp EL-733A Business/Financial Calculator has three possible modes: o Financial FIN is displayed on the top of the screen. o Statistical STAT is displayed on the top of the screen. o Standard Blank display on the top of the screen. To establish FIN mode: 2nd F and then Î repeatedly until FIN appears on the display. Prepared by: Norwin Lederer Sharp EL733A Business Financial Calculator Page 1 of 8 Topic A, Step 3: Enter the Data Keys Display 100000 +/- CFi -100000 10000 CFi 10000 20000 CFi 20000 30000 CFi 30000 40000 CFi 40000 50000 CFi 50000 Topic A, Step 4: NPV @ 12% To establish the NPV for the abovementioned data at 12% perform the following actions: Keys Display 12 i 12 NPV wait 17.9223354 Therefore the NPV at 12% for the above data is R17.92. Topic A, Step 5: NPV @ 20% Should you have to calculate the NPV at 20% for the abovementioned data, simply perform the following: Keys Display 20 i 20 NPV wait -21032.66461 Therefore the NPV at 20% for the above data is -R21 032.66. Bear in mind that you must not clear the memory (i.e. Step 2) to perform an NPV calculation, as this will erase all the data that you entered in Step 3. If your calculator's Auto Off feature has activated before you have performed the NPV calculation you will have to perform Steps 1 to 3 again. Prepared by: Norwin Lederer Sharp EL733A Business Financial Calculator Page 2 of 8 Topic A, Step 6: NPV @ 5% Should you have to calculate the NPV at 5% for the abovementioned data, simply perform the following: Keys Display 5 i 5 NPV wait 25663.93436 Therefore the NPV at 5% for the above data is R25 663.93. Topic A, Step 7: Determining the IRR In order to calculate the IRR no interest rate needs to be entered, i.e. Steps 4, 5 and 6. However, the likelihood is quite great that you are calculating NPV's over a range of interest rates and the IRR. The data from Step 3 should still be resident in the calculator's memory; if not, re-perform Step 3. Keys Display IRR long wait 12.00576195 Therefore the IRR is 12%. Topic B: Discount Factor / DCF The following are the steps to establishing the DCF. Bear in mind that if you are performing a NPV or IRR on a financial calculator it is unnecessary to determine the DCF, as the calculator automatically performs these functions in its memory. Consider the following question: o What is the discount factor in the 8th year of an investment where the interest rate is 5%? Firstly, let's consider the formula: 1 DCF = (1 + i ) n where i = interest rate & n = period 1 (1 + 0.05) 8 Note: 5% is equal to 0.05 or 5/100. therefore DCF = Prepared by: Norwin Lederer Sharp EL733A Business Financial Calculator Page 3 of 8 To perform this on the calculator do the following: Keys Display 1 1 + 1 0.05 0.05 = 1.05 yx 1.05 8 8 = 1.477455444 1/x 0.676839362 Therefore the DCF for the 8th year at an interest rate of 5%, to four decimal points, is 0.6768. Example 2: o What is the discount factor in the 2nd year of an investment where the interest rate is 5%? Keys Display 1 1 + 1 0.05 0.05 = 1.05 yx 1.05 2 2 = 1.1025 1/x 0.907029478 Therefore the DCF for the 2nd year at an interest rate of 5%, to four decimal points, is 0.9070. Prepared by: Norwin Lederer Sharp EL733A Business Financial Calculator Page 4 of 8 Example 3: o What is the discount factor in the 5th year of an investment where the interest rate is 15%? Note: 15% is equal to 0.15 or 15/100. Keys Display 1 1 + 1 0.15 0.15 = 1.15 yx 1.15 5 5 = 2.011357187 1/x 0.497176735 Therefore the DCF for the 5th year at an interest rate of 15%, to four decimal points, is 0.4972 (not the rounding off is upwards, because the fifth digit is greater than 5). Prepared by: Norwin Lederer Sharp EL733A Business Financial Calculator Page 5 of 8 Topic C: Instalments Example 1 Consider the following information: o Purchase price of the car: R100 000.00 o Interest rate: 13.5% o Number of years to pay: 5 years (Known as 'principle') (Known as 'interest rate' or 'lending rate') (Known as 'period') Topic C, Step 1: Clearing the Memory In order to effectively perform financial calculations the calculator's memory must be cleared of all data. This is achieved as follows: 0 xÎM and then 2nd F CyCE Topic C, Step 2: Establish "Financial Mode" In order to perform financial calculations, the calculator must be in financial mode. The Sharp EL-733A Business/Financial Calculator has three possible modes: o Financial FIN is displayed on the top of the screen. o Statistical STAT is displayed on the top of the screen. o Standard Blank display on the top of the screen. To establish FIN mode: 2nd F and then Î repeatedly until FIN appears on the display. Prepared by: Norwin Lederer Sharp EL733A Business Financial Calculator Page 6 of 8 Topic C, Step 3: Enter the Data Keys Display 100000 100000 + /- -100000 PV -100000 0 0 FV 0 13.5 13.5 2nd F i 1.125 i 1.125 5 5 2nd F n 60 N 60 COMP PMT 2300.984602 Therefore the instalment on a car, where the initial purchase price is R100 000-00, the interest rate is 13.5% and the number of years is 5 is R2 003.98. Example 2 Consider the following information: o Purchase price of the house: R350 000.00 o Interest rate: 13.5% o Number of years to pay: 20 years (Known as 'principle') (Known as 'interest rate' or 'lending rate') (Known as 'period') Topic C, Step 1: Clearing the Memory In order to effectively perform financial calculations the calculator's memory must be cleared of all data. This is achieved as follows: 0 xÎM and then 2nd F CyCE Prepared by: Norwin Lederer Sharp EL733A Business Financial Calculator Page 7 of 8 Topic C, Step 2: Establish "Financial Mode" In order to perform financial calculations, the calculator must be in financial mode. The Sharp EL-733A Business/Financial Calculator has three possible modes: o Financial FIN is displayed on the top of the screen. o Statistical STAT is displayed on the top of the screen. o Standard Blank display on the top of the screen. To establish FIN mode: 2nd F and then Î repeatedly until FIN appears on the display. Topic C, Step 3: Enter the Data Keys Display 250000 250000 + /- -250000 PV -250000 0 0 FV 0 13.5 13.5 2nd F i 1.125 i 1.125 20 20 2nd F n 240 n 240 COMP PMT 3018.436707 Therefore the instalment on a house, where the initial purchase price is R250 000-00, the interest rate is 13.5% and the number of years is 20 is R3 018.44. Prepared by: Norwin Lederer Sharp EL733A Business Financial Calculator Page 8 of 8