Casio 9750G PLUS Calculator

Transcription

1 Casio 9750G PLUS Calculator Keystrokes for the Casio 9750G PLUS are shown for a few topics in which keystrokes are unique. Start by reading the Quik Start section. Then, before beginning a specific unit of the text, check to see if this includes keystrokes for that unit. Going through the keystrokes before class will help, especially if your instructor cannot include instructions for the Casio 9750G PLUS during class. Quik Start Calculator registers. Many keys have 2 or 3 functions. One appears in white on the face of the key. The second function appears in gold above the key. The third appears in red above the key. To access the second function, press the gold [SHIFT] key first. To access the third function, press the red [ALPHA] key first. Menus. The Casio 9750G PLUS has menus. Once in a menu, several choices will appear in the display. To move the cursor up, down, left, or right use the 4 scroll keys located near the upper right part of the calculator. Once the cursor is in the right spot, press [EXE]. Arithmetic. To get a clear display for arithmetic, press [MENU], then move the cursor, with the four-function control (to the right of the MENU key) until the RUN feature in the upper left is highlighted; then press [EXE]. Arithmetic can be done as shown below. Example: Multiply,222 by 32.8,222 [ ] 32.8 [EXE] 40,08.60 answer Notice, when keying in,222 we did not key in a comma (there is no comma key). The comma is shown in keystrokes for clarity. Also, notice that we did not key in the decimal point when entering,222; the calculator presumes there is a decimal point at the far right. Correcting entries. If we enter a number incorrectly, we can correct our mistake without having to start the problem over again. Moving the cursor to the left [ = ] gobbles up the last digit. Pressing [AC/ON] clears the entire display. Negative numbers. To enter a value as a negative number, press the ( ) key first. To change the sign of a displayed number, multiply by a negative. Setting the decimal. To set the decimal at, say, 2 places, press [SHIFT] [SET UP]. Then, move the cursor to Display. Select Fix by pressing F" then F3" to select 2 places. Then, press [EXIT]. To change to 8 places, press [SHIFT] [SET UP]. Then, move the cursor to Display. Select Fix by pressing F" then F6" to bring up choices above 5 places. Press F5" to select 9 places. Then, press [EXIT]. For chain calculations, the Casio 9759G PLUS uses the internal, more accurate number not the displayed number. Time-saving registers. Suppose we want to calculate the total monthly rent on a 72-unit apartment building in which 36 units rent for $850 each, 24 rent for $900 each, and 2 rent for $925 each. One approach would be to write down subtotals, then add subtotals: Here s another approach: 36 $850 $30, $900 2,600 2 $925 +,00 Total $63, [ ] 850 [EXE] 30, first subtotal [ + ] 24 [ ] 900 [EXE] 52, cumulative subtotal [ + ] 2 [ ] 925 [EXE] 63, total

2 Unit 3. Mathematical symbols and expressions 2 5 Example 2 Use a calculator to find the value of: a. 23 b [ x ] [EXE] result 4 [v ] 5 [EXE] result Chapters 0 & Compound interest formulas Using a calculator properly is essential in working with the compound interest formulas of Illustration 0-. An example will be given for each of the 8 compound interest formulas. We will begin with Formula A. Before starting, here are a few things worth noting: C There are several ways to do the arithmetic; the keystrokes shown in this section are only one choice. The keystrokes shown may, in some cases, be longer than another method but are used because the method is considered to be more conceptually sound and easier to remember. C Here is a tip: Try your own keystrokes before looking at ours. If your approach makes sense, use it because it will be easier to remember. If you have difficulty, then review our suggested keystrokes. C The displayed values shown in the keystrokes have 2 decimal places. Having our decimal set at more or less places will not affect the final answer, provided we use chain calculations (remember that chain calculations use the internal, more accurate value, not the displayed value). Formula A Example of Unit 0.2 You get an income tax refund of $,700 and deposit the money in a savings plan for 6 years, earning 6% compounded quarterly. Find the ending balance using compound interest formulas. n 24 FV = PV ( + i) = $,700 (.05) = $2, [ v ] 24 [EXE] to the 24th power [ ],700 [EXE] 2,430.5 answer Example 2 of Unit 0.2 Suppose a wise man had deposited $ in a savings account 2,000 years ago and the account earned interest at 2% compounded annually. If the money in the account today were evenly divided among the world s population, how much would each person receive, based on a world population of 7 billion? n 2000 FV = PV ( + i) = $ (.02) Then divide by 7,000,000, [ v ] 2,000 [EXE] E+7 account balance, in scientific notation [ ] 7,000,000,000 [EXE] 22,659, amount per person

3 Formula B Example 4, Unit 0.2 You deposit $00 at the end of each year for 4 years, earning 6% compounded annually. Use compound interest formulas to find the balance in 4 years. FV ' PMT ( % i)n & i $00 (.06)4 & = = $ [ v ] 4 [EXE].26 th.06 to the 4 power [ - ] [EXE] 0.26 value of numerator [ ].06 [EXE] 4.37 value inside of brackets [ ] 00 [EXE] answer Formula 2A Example of Unit 0.3 Your aunt says she will give you $2,430.5 in 6 years. Assuming that you can earn 6% compounded quarterly, what is the real value of her promise, in today s dollars? PV ' FV ( % i) ' $2,430.5 n (.05) 24 = $, ,430.5 [ ] 2,430.5 ready to divide [ ( ].05 [ v ] 24 [ ) ] [EXE], answer Formula 2B Example 2 of Unit 0.3 You are selling a valuable coin. You have two offers. The first offer is for $5,500 cash. With the second offer, the buyer will pay you $2,000 at the end of each year for 3 years. Assuming that you can earn 8% compounded annually on your money, which offer is better? PV ' PMT & ( % i) n i & (.08) = $2,000 3 = $5, [ ].08 [ v ] 3 [EXE] 0.79 over (.08 to the third power) [ ] [ ( ) ] [EXE] changed the sign [ + ] [EXE] 0.2 value of the numerator [ ].08 [EXE] 2.58 value inside the brackets [ ] 2,000 [EXE] 5,54.9 answer

4 Formula 3 Example of Unit.4 Dale bought a rare baseball card 3 years ago for $,500. He just sold the card for $2,000 to get some money for his college tuition. What interest rate, compounded annually, did Dale earn on the investment? i ' FV PV n & $2,000 = 3 & = % (with 4 decimal places) $,500 2,000 [ ],500 [EXE].33 value inside of parentheses [ v ] ( [ ] 3 ) [EXE].0 previous value to the /3 power [ - ] [EXE] 0.0 rate, in decimal form, with decimal at 2 [ ] 00 [EXE] 0.06 rate, as a percent, with 2 decimal places Formula 4A Example 2 of Unit. You want to accumulate $200,000 for retirement in 40 years. You can earn 6.75% compounded monthly. What amount must you deposit at the end of each month in order to accumulate $200,000 in 40 years? PMT ' FV (i) ( % i) n & = $200,000 ( ) = $8.7 ( ) 480 & [ v ] 480 [EXE] 4.77 th to the 480 power [ - ] [EXE] 3.77 value of denominator [ º ] [ALPHA] [ A ] [EXE] 3.77 stored the value in register A 200,000 [ ] [EXE],25.00 value of numerator [ ] [ALPHA] [ A ] [EXE] 8.7 answer Formula 4B Example 2 of Unit.2 Suppose you have accumulated $500,000, perhaps from many years of savings or from an inheritance. You put the money in a savings plan earning 6% compounded monthly. You want the plan to last 40 years. How much can you withdraw at the end of each month? PMT ' PV (i) & ( % i) n $500,000 (.005) = = $2,75.07 & (.005) 480 [ ].005 [ v ] 480 [EXE] 0.09 th over (.005 to the 480 power) [ ] [ ( ) ] [EXE] changed the sign [ + ] [EXE] 0.9 value of denominator [ º ] [ALPHA] [ A ] [EXE] 0.9 stored the value in register A 500,000 [ ].005 [EXE] 2, value of numerator [ ] [ALPHA] [ A ] [EXE] 2,75.07 answer

5 Formula 5 Example 3 of Unit. You want to start a restaurant business and estimate it will take $28,000 to get started. You currently have $3,000 and can deposit an additional $425 at the end of each month. If your savings will earn 9% compounded monthly, in how many months can you start your business? For Formula 5 we must use proper sign convention for PV, FV, and PMT: PV = negative $3,000 (negative because you pay this amount into a savings plan) FV = $28,000 (positive because you will get this amount back from the savings plan) PMT = negative $425 (negative because you pay this amount into a savings plan) n ' &ln PV % ( PMT ) i PMT & FV i ln(%i) &ln &$3,000 % &$ &$ & $28,000 = = months ln(.0075) Step : Compute and store (-$425 over.0075) [ ( ) ] 425 [ ].0075 [EXE] -56, value of ( - $425 over.0075) [ º ] [ALPHA] [ A ] [EXE] -56, stored in register A Step 2: Compute and store the value of the denominator inside of large brackets [ - ] 28,000 [EXE] -84, value of the denominator inside of large brackets [ º ] [ALPHA] [ B ] [EXE] -84, stored in register B Step 3: Compute and store the value of the main denominator [ln].0075 [EXE] 0.0 the natural log of.0075 [ º ] [ALPHA] [ C ] [EXE] 0.0 stored in register C Step 4: Compute the value of total numerator [ALPHA] [ A ] [EXE] -56, recalled the value of ( - $425 over.0075) [ - ] 3,000 [EXE] -59, value of numerator inside of large brackets [ ] [ALPHA] [ B ] [EXE] 0.70 total value inside of large brackets [ln] [SHIFT] [ANS] [EXE] the natural log [ ] [( )] [EXE] 0.35 value of the total numerator Step 5: Find answer [ ] [ALPHA] [ C ] [EXE] answer

6 Chapters 4, 5, and 9 Financial calculators Keystrokes will be shown for problems in which keystrokes are unique those same examples of the text that show keystrokes for the HP 0BII and the TI BAII PLUS. The TVM worksheet is found on the main menu by getting the TVM choice highlighted, then pressing [EXE], followed by F2 (Compound Interest). Use the down-arrow key to select P/Y, then change the setting to by pressing [EXE]. The I% register now represents the interest rate per period, and the n register represents the total number of periods. Keystrokes assume calculator is set at period per year, and is in End mode. To change to Begin mode, press [SHIFT] [SET UP]; then select F (for BGN), and [EXIT]. To change back to End mode, press [SHIFT] [SET UP]; then select F2 (for END), and [EXIT]. Example of Unit 4.2 Sebastian Xavier is a soda pop addict and wonders how much money he could accumulate if he stopped drinking soda pop and deposited the $50 per month he spends on the stuff into a savings plan. Sebastian just turned 20. If his savings plan earns 6% compounded monthly and his first deposit is a month from now, what amount would he have at retirement, 40 years from now? [MENU] then select TVM [EXE] F2 now in TVM worksheet select P/Y then: [EXE] P/Y=.00 set P/Y to ; leave it there for life select n then: 40 [ ] 2 [EXE] n= monthly deposits 6 [ ] 2 [EXE] I%=0.50 periodic rate 0 [EXE] PV=0.00 there is no present value [( )] 50 [EXE] PMT= -50 monthly deposit F5 (representing FV) FV=298,723.6 ending balance Example 2 of Unit 4.2 You have the chance to buy a promissory note in which you would receive 28 quarterly payments of $500, starting 3 months from now. If you want to earn 8% compounded quarterly, what price should you pay for the note? [EXIT] back in previous TVM worksheet or [MENU] then select TVM [EXE] F2 in TVM worksheet select n then: 28 [EXE] n= quarterly payments 8 [ ] 4 [EXE] I%=2.00 periodic rate select PMT then: 500 [EXE] PMT= quarterly payment 0 [EXE] FV= 0.00 there is no future value F3 (representing PV) PV=-0, price you can pay to earn 8% compounded quarterly Example 5 of Unit 4.3 You deposit $00 at the beginning of each year for 4 years, earning 6% compounded annually. Find the balance in 4 years. [EXIT] back in previous TVM worksheet or [MENU] then select TVM [EXE] F2 in TVM worksheet select n then: 4 [EXE] n= periods 6 [EXE] I%=6.00 periodic rate 0 [EXE] PV=0 there is no one-time initial deposit [( )] 00 [EXE] PMT= annual deposit [SHIFT] [SET UP] F Payment: Begin now in begin mode* [EXIT] F5 (representing FV) FV= answer Note: Don t forget to put back in End mode: [SHIFT] [SET UP] F2 [EXIT]

7 Example of Unit 9. Tara got a $60,000 5-year mortgage loan at 7.25% on April. Calculate her monthly payment. Then, using the amortization registers of your calculator, find interest, principal, and remaining balance for the first two payments. Note: The Casio 9750G PLUS does not amortize interest to the nearest penny for each payment; as a result the amortization calculations do not match those of the real world. We will therefore not use the calculator to do amortization problems. Example 2 of Unit 9. Refer to Example (above). Calculate interest, principal, and remaining balance for each of the first 3 calendar years. Note: The Casio 9750G PLUS does not amortize interest to the nearest penny for each payment; as a result the amortization calculations do not match those of the real world. We will therefore not use the calculator to do amortization problems. Example 3 of Unit 9. Refer to Examples and 2 (above). Calculate the total interest Tara will pay on her 5-year loan. Note: The Casio 9750G PLUS does not amortize interest to the nearest penny for each payment; as a result the amortization calculations do not match those of the real world. We will therefore not use the calculator to do amortization problems. Example 6 of Unit 9.2 (Condensed). Tara got a $60,000 mortgage loan at 7.25%. Her total loan costs, for APR purposes, is $8,060. Assume Tara will pay off the loan at the end of 7 years. Calculate her real APR, reflecting the early payoff. Note: The Casio 9750G PLUS does not amortize interest to the nearest penny for each payment; as a result the amortization calculations do not match those of the real world. We will therefore not use the calculator to do amortization problems. Because amortizing is a vital part of this problem, we will not offer a solution for this problem with the Casio 9750G PLUS. Example of Unit 9.5 Four years ago, you purchased some corporate stock for $2,000. You received dividends as follows: $00 at the end of year, $50 at the end of year 2, nothing at the end of year 3, and $25 at the end of year 4. Immediately after receiving the final dividend check, you sold the stock for $2,700. What is your annual rate of return? [MENU] [LIST] [EXE] List in list worksheet F4 F (foryes) List previous list cleared [( )] 2,000 [EXE] -2,000 cash flow (at beginning) 00 [EXE] 00 cash flow 2 (year ) 50 [EXE] 50 cash flow 3 (year 2) 0 [EXE] 0 cash flow 4 (year 3) 25 [ + ] 2,700 [EXE] 2,825 cash flow 45 (year 4) [MENU] [TVM] [EXE] F3 I%=??? ready to find IRR F2 (for IRR) IRR=2.06 IRR

8 Example 3 of Unit 9.5 (Condensed). Florence Curtis decides to sell her office supply business. Michael Gabriel offers to buy the business by paying $2,000 at the end of each month for 0 years, followed by $3,000 at the end of each month for 5 years. Assuming that money is worth 8.5% compounded monthly (that is the rate that Florence can earn on her money), what is the present value of Michael s offer? [MENU] [LIST] [EXE] List in list worksheet F4 F (foryes) List previous list cleared 0 [EXE] 0 cash flow (at beginning) 2,000 [EXE] 2,000 cash flow 2 (month ) 2,000 [EXE] 2,000 cash flow 3 (month 2) 2,000 [EXE] 2,000 cash flow 4 (month 3) Enter 2,000 a total of 20 times (so 2,000 is shown thru cash flow 2) Then enter 3,000 a total of 60 times (so 3,000 is shown thru cash flow 8) Then: [MENU] [TVM] [EXE] F3 I%=??? asking for interest rate 8.5 [ ] 2 [EXE] I%=0.7 periodic rate F (for NPV) NPV=223,994.6 present value of Michael s offer