background image

40

Procedure

Key operation

Display

Change the fi rst cash 
fl ow value from –25,000 
to –30,000.

,

 

30000

 

J

CF D—=

-3000000

Change the frequency 
of 5000 from 2 to 1.

i

 

i

 

i

 

i

 

i

 

i

 

i

 

1

 

J

CF N3=

100

Add a new data set 
(6000) immediately 
before 5000.

.

 

e

 

6000

 

J

CF D3=

600000

To confi rm the corrections, press 

.

 

z

 to jump to the fi rst 

data item and press 

i

 to browse through each data item.

Variables used in discounted cash fl ow analysis

Variable

Description

Default value

RATE (I/Y)

Internal rate of return (IRR)

0

NET_PV

Net present value (NPV)

•  The variable RATE (I/Y) is shared by the variable I/Y. NET_PV 

is for calculation only and has no default value.

•  The BGN/END setting is not available for discounted cash fl ow 

analysis.

NPV and IRR

The calculator solves the following cash fl ow values:

Net present value (NPV):

The total present value of all cash fl ows, including cash paid out 
(outfl ows) and cash received (infl ows). A profi table investment is 
indicated by a positive NPV value.

Internal rate of return (IRR):

The interest rate that gives a net present value of zero.

Basic operations

Refer to page 19 for basic variable operations.

1. 

Press 

s

 to clear the display.

• Make sure the calculator is in NORMAL mode. 

Summary of Contents for EL-738XT

Page 1: ...AL CALCULATOR OPERATION MANUAL MODEL EL 738XT Contents Introduction 3 Getting Started 5 General Information 11 Financial Functions 17 Scientific Functions 60 Statistical Functions 64 Appendix 72 Index 83 Page ...

Page 2: ......

Page 3: ...nd SHARP assumes no responsibility and shall have no liability of any kind con sequential or otherwise from the use of this material SHARP assumes no responsibility directly or indirectly for financial losses or claims from third persons resulting from the use of this product and any of its functions the loss of or alteration of stored data etc SHARP strongly recommends that separate permanent wri...

Page 4: ...tion Calculations 33 Discounted Cash Flow Analysis 37 Bond Calculations 44 Depreciation Calculations 48 Conversion between APR and EFF 51 Day and Date Calculations 52 Percent Change Compound Interest Calculations 54 Cost Sell Margin Markup Calculations 56 Breakeven Calculations 58 Chapter 4 Scientific Functions 60 Constant Calculations 60 Chain Calculations 60 Scientific Calculations 61 Random Fun...

Page 5: ...r back pocket as it may break when you sit down The display is made of glass and is particularly fragile Keep the calculator away from extreme heat such as on a car dashboard or near a heater and avoid exposing it to exces sively humid or dusty environments Since this product is not waterproof do not use it or store it where fluids for example water can splash onto it Raindrops water spray juice c...

Page 6: ...icated instead of 1 0 0 3 To specify a memory function printed in green press i first 4 Functions that are printed in black adjacent to the keys are effective in specific modes To specify cursor keys g y z i Using the and i keys Press s i A x 10 and i A mean you have to press followed by key and i followed by key Notes The multiplication instruction and alphabetic letter X are distinguished as fol...

Page 7: ...ial display of the NOR MAL mode appears Resetting the Calculator In Case of Difficulty Caution The RESET operation will erase all data stored in memory and restore the calculator s default setting In rare cases all the keys may cease to function if the calculator is subjected to strong electrical noise or heavy shock during use If pressing any of the keys including s has no effect reset the calcul...

Page 8: ... 2 digit exponent 2 Power ON OFF and Clear key Turns the calculator ON This key also clears the display To turn off the calculator press then c 3 Key operation keys Activates the second function printed in orange as signed to the following key i Activates the memory printed in green assigned to the following key 4 SET UP key Displays the SET UP menu to select the display notation angular unit depr...

Page 9: ... functions are enabled ALPHA Indicates that i g or f has been pressed and storing or recalling memory values or TVM solv ers statistics variables can be performed BGN Indicates that calculations are annuity due payment at the beginning of each interval calculations When BGN is not displayed calculations are ordinary annu ity payment at the end of each interval calculations 360 Indicates that date ...

Page 10: ...or i to view the previous next part of the menu Press s to exit the SET UP menu Selecting the display notation and number of decimal places The calculator has three display notation systems fixed decimal point scientific notation and floating point for displaying calcu lation results If 0 0 TAB is pressed DIG 0 9 will be displayed and the number of decimal places can be set to any value between 0 ...

Page 11: ...dure Key operation Display 100000 3 Fixed decimal point with two decimal places s 100000 8 3 1 3 3333333 Scientific notation SCI with two significant digits 0 1 2 1 3 04 33 Floating point FLO_A 0 2 1 3 3333333333 3 1000 Floating point FLO_A s 3 8 1000 3 1 0003 Floating point FLO_B 0 3 3 1 03 3 Fixed decimal point with two decimal places 0 0 2 3 1 000 Selecting the angular unit see page 61 DEG 1 0 ...

Page 12: ...electing a mode 1 Press m The menu display appears 2 Press 0 or to se lect NORMAL mode Press 1 or y to select STAT mode Operations available in each mode NORMAL mode Allows you to perform financial arithmetic or scientific calculations STAT statistics mode Allows you to perform statistical arithmetic or scientific calculations The symbol appears in the display NORMAL StAt 0 1 000 SD LINE QUAD 0 2 ...

Page 13: ...on and division Press to perform each calculation Use the and keys to place parentheses around inner parts of expressions The closing parenthesis just before or h may be omitted When you enter a series of operations in one sequence the calculator performs the calculation according to the priority levels in calculation on page 81 Example Key operation Result 45 285 3 s 45 285 8 3 14000 18 6 15 8 18...

Page 14: ...en a cash flow value is displayed 7 Statistical data entered data and variables n x etc 8 Are cleared when changing between sub modes in STAT mode Notes To clear any of the A H M X Z or ANS memories press s g and then specify the memory To clear or restore to the default setting one variable or value of TVM variables listed financial variables cash flow data or STAT refer to the relevant section I...

Page 15: ...pressing g brings you to the end of the equation and pressing y brings you to the beginning Press g or y to move the cursor Press g or y to jump the cursor to the beginning or end of the equation Insert and overwrite modes in the equation display This calculator has two editing modes insert mode default and overwrite mode Pressing d switches between the two modes A triangular cursor indicates an e...

Page 16: ...When an error occurs pressing g or y automatically moves the cursor to the place in the equation number where the error occurred Edit the equation number or press s to clear the equation For details see page 76 Memory Calculations This calculator has 11 temporary memories A H and X Z one independent memory M and one last answer memory ANS It also has various variables for use in financial calculat...

Page 17: ...riable and the value TVM variables TVM variables can be recalled using f in the same way as temporary memories It is not necessary to press g to store a value Listed financial variables Financial variables are specific to the type of calculation they are used in For example the variable N is available to the TVM solver but not to discounted cash flow analysis calculations If you want to carry a va...

Page 18: ...r calculation however you can use the values held in statistical variables in subsequent calculations Note Use of f or i will recall the value stored in memory using up to 14 digits Memory calculations Example Key operation Result 24 8 2 8 2 5 s 8 x 2 g M 24 8 i M i M x 5 1600 150 8000 150 3 M1 250 M2 M1 250 M2 5 M s g M 150 x 3 h 250 h f M x 5 j f M 000 45000 25000 3500 66500 1 110 26 510 2 750 1...

Page 19: ...lue and IRR internal rate of return Bond calculations Solve bond prices or yields to maturity with accrued interest Depreciation calculations Obtain depreciation base values using three types of calculation methods Conversion between APR and EFF Interest rates can be con verted between APR annual or nominal percentage rate and EFF effective interest rate Day and date calculations Calculate dates a...

Page 20: ...g calculations Financial variables are specific to the type of calculation they are used in Values are stored in these variables and recalled as required Some variables are shared in the memory area among calculations If you change the value of a variable in one calculation the value will change in all the other calculations as well The following list shows the variables shared between calculation...

Page 21: ...ancial calculation method by press ing the corresponding financial calculation key 2 Use z i to select the variable you wish to enter 3 Enter the value and press Q when the ENT symbol appears Note In step 3 you can also enter values into variables using arithmetic operations Ex 100 x 12 Q B Displaying a value Use z i to show the variable and value C Executing calculation 1 Use z i to select the va...

Page 22: ...splay Category Display symbols Descriptions For entry only ENT Variable can be used as a known but not as an unknown For calculation only COMP Variable can be used as an unknown but not as a known For entry or calcula tion ENT COMP Variable can be used as either a known or an unknown Calculated automati cally Unknown variable but the calculator calculates the value automatically Notes During finan...

Page 23: ...of the account during that month including interest added in previous months Interest earns interest which is why it is called compound interest It is important to know the compounding period of a loan or investment before starting because the whole calculation is based on it The compounding period is specified or assumed usually monthly Cash flow diagrams The direction of arrows indicates the dir...

Page 24: ...erest rate per year 0 PV Present value 0 PMT u Payment 0 FV t Future value 0 P Y w Number of payments per year 1 C Y w i Number of compounding periods per year 1 Setting the payment period payment due You can toggle between ordinary annuity payment at the end of the period and annuity due payment at the beginning of the period using The default setting is ordinary annuity BGN is not displayed Refe...

Page 25: ...he pre vious normal calculation stored in ANS memory as a TVM variable Note that some variables are shared by other calculations and may have values assigned by those calculations 4 Press and the TVM variable key that you wish to solve The calculation is performed and the obtained values are displayed Basic examples for the TVM solver Calculating basic loan interest A 56 000 mortgage loan compound...

Page 26: ...nding periods per year i C Y 1200 Quit the P Y and C Y settings s 000 Calculate the total num ber of payments and store in N 20 N ANS N 24000 Enter the present value 56000 56 PV 5600000 Enter payment 440 u 44 PMT 44000 Enter the future value 0 t FV 000 Calculate the annual interest rate f I Y 717 Answer The annual interest rate is 7 17 Note If you make a mistake press L to erase the number and ent...

Page 27: ...ure ordinary annuity is set BGN is not displayed Set the number of pay ments per year to 4 w 4 Q P Y 400 Confirm the number of compounding periods per year i C Y 400 Quit the P Y and C Y set tings s 000 Calculate the total number of payments and store in N 20 N ANS N 8000 Enter the present value 56000 56 PV 5600000 Enter the future value 0 t FV 000 Enter the annual interest rate 6 5 f 6 5 I Y 650 ...

Page 28: ...bles to default values b 000 Make sure ordinary annuity is set BGN is not displayed Set the number of pay ments per year to 12 w 12 Q P Y 1200 Set the number of com pounding periods per year to 4 i 4 Q C Y 400 Quit the P Y and C Y settings s 000 Calculate the total num ber of payments and store in N 3 N ANS N 3600 Enter the present value 0 PV 000 Enter payment 200 u 2 PMT 20000 Enter the annual in...

Page 29: ...b 000 Make sure ordinary annuity is set BGN is not displayed Set the number of pay ments per year to 1 w 1 Q P Y 100 The number of compounding periods per year is automatically set to 1 Press s to exit the P Y and C Y settings Enter the total number of payments s 20 N 2 N 2000 Enter the future value 10000 t 1 FV 1000000 Set payment to zero 0 u PMT 000 Enter the annual inter est rate 5 f 5 I Y 500 ...

Page 30: ...ote The above selection only affects the TVM solver Ordinary annuity Your company wishes to accumulate a fund of 300 000 over the next 18 months in order to open a second location At the end of each month a fixed amount will be invested in a money market savings account with an investment dealer What should the monthly investment be in order to reach the savings objective as suming the account wil...

Page 31: ...culating lease payments Annuity due You plan to purchase a new car with a value of 87 918 on a 60 month lease If the annual interest rate is 6 75 the contractual purchase option price at lease end is 17 500 and payment is due at the beginning of each month how much should you pay each month N 60 PV 87 918 FV 17 500 I Y 6 75 PMT Procedure Key operation Display Set all the variables to default value...

Page 32: ...ent u PMt 147620 Answer You should pay 1 476 20 each month Calculating the present value of a lease with trade in value Your client wishes to buy a machine currently leased from your company On a five year lease with payments of 200 at the beginning of each month the machine has a trade in value of 1 500 with 34 monthly payments remaining If your company sells the machine at the present value of t...

Page 33: ...34 N 34 N 3400 Enter payment 200 u 2 PMt 20000 Enter the annual inter est rate 18 f 18 I Y 1800 Enter the future value 1500 t 15 FV 150000 Calculate the present value PV 627995 Answer 6 279 95 should be charged for the machine Calculating down payment and amount to borrow You wish to buy a house for 180 000 The finance company charges a 5 5 APR compounded monthly on a 25 year loan If you can affor...

Page 34: ...s to exit the P Y and C Y settings Enter the total number of payments s 25 N ANS N 30000 Enter payment 900 u 9 PMT 90000 Enter the annual inter est rate 5 5 f 5 5 I Y 550 Set the future value to zero 0 t FV 000 Calculate the present value PV 14655892 Calculate the down payment s 180000 f 18 PV 3344108 Answer You can borrow 146 558 92 in total The price of the house is 180 000 so Down payment 180 0...

Page 35: ...MRT P1 and AMRT P2 must be between 1 and 9 999 Basic operations Refer to page 19 for basic variable operations 1 Press s to clear the display Make sure the calculator is in NORMAL mode All the TVM solver variables retain their previously entered values If you wish to clear all the data press b 2 Select ordinary annuity or annuity due using 3 Enter the appropriate numeric values for the variables u...

Page 36: ...play Set all the variables to default values b 000 Make sure ordinary annuity is set BGN is not displayed Set TVM solver vari ables and calculate payment w 12 Q s 20 N 90000 0 t 5 45 f u PMT 61656 Answer The monthly payment is 616 56 Now generate an amortization schedule for the first 5 years of the loan If the first payment is in August the first year has 5 payment periods and the following years...

Page 37: ...payment i 17 Q AMRT P2 1700 Display the remaining balance i BALANCE 8633592 Display the principal paid i ÍPRINCIPAL 261556 Display the interest paid i ÍINTEREST 478316 4 Calculate the amortization schedule for the third year Procedure Key operation Display Change amortization schedule to the third year and enter the next 12 months automati cally i i AMRT P2 2900 Display the remaining balance i BAL...

Page 38: ...ayed Set TVM solver vari ables and calculate payment w 12 Q s 30 N 500000 0 t 8 5 f u PMT 384457 Answer The monthly payment is 3 844 57 Now generate an amortization schedule from the first to the 48th payments Procedure Key operation Display Change to amortization calculation and enter 1 for the starting payment 1 Q AMRT P1 100 Enter 48 December for the ending payment i 48 Q AMRT P2 4800 Display t...

Page 39: ...tered cash flow data Press to enter a negative cash flow outflow Make sure the calculator is in NORMAL mode It is not pos sible to enter cash flow data when listed financial variables are shown on the display Press s to exit You can enter a total of up to 100 cash flow and or statistical data items A single cash flow value is counted as one data item while a cash flow value with an associated freq...

Page 40: ...a set cash flow and frequency values number which is initially set to 0 00 is dependent on calcu lator display notation settings Confirming and editing data Confirming data Press to display any previously entered cash flow data The data is displayed in order by data item identifier number and value Use z i to display a data item from a previously entered data set CF D 2500000 Cash flow identifier ...

Page 41: ...nding frequency cash flow value is also deleted If you wish to delete all data press b Inserting data Using the z and i keys specify the correct place to insert your new data by displaying the value that is to come directly after and then press e A new data set with a cash flow value of zero and a frequency value of one will be inserted Modify the new data set to include your data Correcting cash ...

Page 42: ... 0 NET_PV Net present value NPV The variable RATE I Y is shared by the variable I Y NET_PV is for calculation only and has no default value The BGN END setting is not available for discounted cash flow analysis NPV and IRR The calculator solves the following cash flow values Net present value NPV The total present value of all cash flows including cash paid out outflows and cash received inflows A...

Page 43: ...ss to calculate IRR RATE I Y Note If Error 5 is displayed in step 4 or if you want to find another IRR enter an estimated value into RATE I Y and calculate again in step 4 Solving for unequal cash flows Your company pays 12 000 for a new network system and expects the following annual cash flows 3 000 for the first year 5 000 for the second to fourth years and 4 000 for the fifth year At what IRR ...

Page 44: ...resent value of the cash flows equals zero at an IRR of 23 14 Calculating the present value of variable cash flows Your company has prepared forecasts for the development costs and operating profits of the next generation of your product Development costs for each of the next three years Years 1 to 3 will be 50 000 Manufacturing equipment costing 100 000 will be purchased at the end of Year 3 Annu...

Page 45: ...ET CF 100 80000 4 J DATA SET CF 200 60000 J DATA SET CF 300 Return to the initial dis play in NORMAL mode s 000 If there is cash flow data stored press b to clear it 2 Calculate NPV Procedure Key operation Display Select discounted cash flow analysis and set all the variables to default values b RATE I Y 000 Enter the discount rate 12 Q RATE I Y 1200 Calculate NPV NET_PV i NET_PV 662752 Answer As ...

Page 46: ...re associated with payment methods known as coupons A coupon is like an interest only payment and it is based on the future value of the bond COUPON is a percentage of the bond par value usually annually by the owner of the bond For bonds that have annual coupons the owner receives one payment of the coupon amount each year Some bonds have semi annual coupons For these each year s coupon amount is...

Page 47: ...edemption date into M D Y 2 or D M Y 2 by pressing i entering the date and pressing Q For date entry refer to page 47 Entering dates 8 Enter the number of coupon payments per year into CPN Y N by pressing i entering the value and pressing Q 9 To find bond price or yield to maturity do the following To obtain bond price PRICE PV Enter annual yield into YIELD I Y by pressing i enter ing the value an...

Page 48: ...d Enter the coupon rate 6 5 Q COUPON PMT 650 Enter the redemption value i 100 Q REDEMPT FV 10000 Enter the settlement date i 11032006 Q M D Y 1 FR 11 3 2006 Enter the redemption date i 08152023 Q M D Y 2 TU 8 15 2023 Enter the number of coupon payments per year i 2 Q CPN Y N 200 Enter the annual yield i 7 2 Q YIELD I Y 720 Calculate bond price i PRICE PV 9323 Calculate the accrued interest i ACCU ...

Page 49: ... to 1989 the 9 following the first 1 may be omitted After entry the date will be stored and the abbreviated day of the week will be displayed SU Sunday MO Monday TU Tuesday WE Wednes day TH Thursday FR Friday SA Saturday The default value for dates is January 1 2001 1 1 2001 The effective range of dates is January 1 1901 to December 31 2099 If an inappropriate date is entered e g February 31 an er...

Page 50: ...FV Salvage value 0 YEAR Year for calculating depreciation value 1 DEPRECIATE Depreciation value of above year RBV Remaining book value RDV Remaining depreciation value DB I Y appears only when you select DB declining balance method for the depreciation method Setting the depreciation method Select the depreciation method in the SET UP menu It is initially set to SL Key operation Description 2 0 SL...

Page 51: ...l value However if you wish to enter for example the middle of July enter 7 5 where the decimal is equal to the number value of the given date divided by the total number of days in the month 6 Enter the cost of asset into COST PV by pressing i entering the value and pressing Q 7 Enter the salvage value into SALVAGE FV by pressing i entering the value and pressing Q 8 Enter the year for calculatin...

Page 52: ...ion method s 2 0 000 Select depreciation calculations O SL Enter the number of years of depreciation i 30 Q LIFE N 3000 Enter the starting month i 4 Q START MONTH 400 Enter the cost of asset i 1500000 Q COST PV 150000000 Enter the salvage value i 0 Q SALVAGE FV 000 Enter the year for calcu lating depreciation value i 3 Q YEAR 300 Calculate depreciation for the year i DEPRECIATE 5000000 Calculate t...

Page 53: ...ent compounds monthly then the stated nomi nal percentage rate becomes a monthly rate and the EFF reflects your actual annual rate of return Basic operations 1 Press s to clear the display Make sure the calculator is in NORMAL mode 2 Enter the calculation data in the following format To change APR to EFF Number of compounding periods per year Nominal percentage rate P To change EFF to APR Number o...

Page 54: ...1 1901 to December 31 2099 Basic operations Refer to page 19 for basic variable operations 1 Press s to clear the display Make sure the calculator is in NORMAL mode 2 Select day and date calcula tions by pressing K To end day and date calcula tions press s If you press s during entry any entered values will be cleared 3 Change the day count method using if neces sary 4 Enter the values of any two ...

Page 55: ...8 Enter the last date i 8102009 Q M D Y 2 MO 8 10 2009 Move to DAYS and calculate i DAYS 22800 Answer 228 days If the 360 day calendar is selected the answer will be 225 days Finding a date Find the date 100 days after November 13 2010 using US date format and the actual calendar Procedure Key operation Display Bring up the initial dis play in NORMAL mode s 000 Select day and date calculations and...

Page 56: ...d price old value 0 NEW PRC FV New price new value 0 I Y Percent change 0 PERIODS N Number of compounding periods 1 Basic operations Refer to page 19 for basic variable operations 1 Press s to clear the display Make sure the calculator is in NORMAL mode 2 Select percent change compound interest cal culations by pressing B To end percent change com pound interest calculations press s If you press s...

Page 57: ...s B b OLD PRC PV 000 Enter the old value 75000 Q OLD PRC PV 7500000 Enter the new value i 116000 Q NEW PRC FV 11600000 Calculate the percent change i I Y 5467 Answer The second year s sales increased by 54 67 over the first year s sales Calculating compound interest rate You opened an account compounding annually and deposited 8 000 eighteen years ago You currently have 9 800 What is the compound ...

Page 58: ...Variables used in cost sell margin markup calcula tions Variable Description Default value COST Cost 0 SELL Selling price 0 MARGIN Profit margin 0 MARK UP Markup Profit margin is calculated based on selling price Markup is calculated based on cost Basic operations Refer to page 19 for basic variable operations 1 Press s to clear the display Make sure the calculator is in NORMAL mode 2 Select cost ...

Page 59: ...4 Move to the variable you wish to calculate using the z and i keys and press to calculate Determining selling price In a furniture business it is desirable to realize a 95 markup from cost to retail price for each item A certain sofa costs 455 60 What should its selling price be Procedure Key operations Display Bring up the initial dis play in NORMAL mode s 000 Select cost sell margin markup calc...

Page 60: ...culator is in NORMAL mode 2 Select breakeven calculations by pressing To end breakeven calcula tions press s If you press s during entry any entered values will be cleared 3 Enter the values of any four known variables 4 Move to the variable you wish to calculate using the z and i keys and press to calculate Calculating the breakeven point Your company has developed a new product and plans to sell...

Page 61: ...les to default values b FIXED 000 Enter fixed cost 15000 Q FIXED 1500000 Enter variable cost per unit i 75 80 Q VARIABLE 7580 Enter unit price i 120 Q PRICE 12000 Leave profit as is i PROFIT 000 Calculate quantity i QUANTITY 33937 Answer The breakeven point of this product is 339 37 units ...

Page 62: ...ult settings Before starting calculation press s to clear the display Constant Calculations Example Key operation Result 34 57 s 34 57 9100 45 57 45 10200 68 25 68 x 25 170000 68 40 40 272000 In constant calculations the addend becomes a constant Subtraction and division behave the same way For multiplica tion the multiplicand becomes a constant In constant calculations constants will be displayed...

Page 63: ...0 The range of the results of inverse trigonometric functions sin 1 x tan 1 x cos 1 x DEG 90 90 0 180 RAD 0 GRAD 100 100 0 200 Example Key operation Result cosh 1 5 sinh 1 5 2 s c1 5 1 5 2009 tanh 1 7 5 8 7 090 log 50 h 50 170 In 20 d 20 300 101 7 1 7 5012 e3 R 3 2009 6 7 031 8 2 34 52 8 2 3 4 x 5 202498 123 12 3 4 645 49 4 81 49 4 81 400 4 2 2 1 4 1 6 1 7 5 7 ...

Page 64: ... 0 999 can be generated by pressing 0 To generate further random numbers in succession press for each number Press s to exit To display numbers with three significant digits set the display notation settings to floating point Random dice To simulate a die roll a random integer between 1 and 6 can be generated by pressing 1 To generate further random numbers in succession press for each number Pres...

Page 65: ...d in scientific notation with a mantissa of up to 14 digits However because calculation results are displayed in the form designated by the display nota tion and the number of decimal places indicated a displayed calculation result may differ from that held internally By using the modify function the 2nd function of the key the internal value is converted to match that of the display so that the d...

Page 66: ...sion PWR Power regression INV Inverse regression Stat Stat 1 Stat 2 Stat 3 Stat 4 Stat 5 Stat 6 Entering statistical data Before you can perform statistical calculations you will need to enter your data In STAT mode use and J the Q key to enter the following For a single variable data set Value J Value frequency J To enter multiples of the same value For a two variable data set x value y value J x...

Page 67: ... a value before pressing J press L or s to delete the entry then enter the correct value Entering statistical data Enter the data in the table to the right using the Stat 0 sub mode Procedure Key operation Display Enter the Stat 0 sub mode s m 1 0 Stat 000 Enter statistical data 30 J DATA SET 100 40 2 J DATA SET 200 50 J DATA SET 300 Return to the Stat 0 display s Stat 000 If there is data stored ...

Page 68: ...eleting data Display the data item to be deleted by using z i and press If a value frequency is deleted the corresponding frequency value is also deleted If you wish to delete all data press b Inserting data Using the z and i keys specify the correct place to insert your new data by displaying the value that is to come directly after and then press e A new data set with a value of zero and a frequ...

Page 69: ...tistical calcula tion refer to the table below Single variable statistical calculations Section 1 results only Linear regression calculations Section 1 and 2 results except for coefficients c The estimate of y for a given x estimate y and the estimate of x for a given y estimate x can also be found Quadratic regression calculation Section 1 and 2 results and coefficients a b and c in the qua drati...

Page 70: ...culation takes place it obtains all statistics except coefficients a and b from converted data rather than from entered data Variables Content 1 n Number of samples x Mean of samples x values sx Sample standard deviation x values x Population standard deviation x values x Sum of samples x values x 2 Sum of squares of samples x values 2 y Mean of samples y values sy Sample standard deviation y valu...

Page 71: ...lt m 1 0 b S a 000 95 95 J DATA SET 100 80 80 J DATA SET 200 80 J DATA SET 300 75 75 75 75 3 J DATA SET 400 50 50 J DATA SET 500 x f x 7571 x f 2 1237 σ n f n 700 n x f U 53000 Í x 2 f 4120000 Í Œ sx f 4 1336 Sx sx2 17857 SxŒ 10 50 95 i 8 i 4 x 10 50 6443 DATA 1 95 x sx ...

Page 72: ...x y m 1 1 S a 1 000 2 5 2 5 J DATA SET 100 2 5 J DATA SET 200 12 24 12 24 J DATA SET 300 21 21 21 40 40 40 21 40 3 J DATA SET 400 15 25 15 25 J DATA SET 500 a f a 105 a b f b 183 b r f r 100 r sx f 4 854 Sx sy f 5 1567 Sy x 3 y 3 653 3y y 46 x 46 9 2462 46x DATA 2 ...

Page 73: ...eration Result x y m 1 2 S a 2 000 12 41 12 41 J DATA SET 100 8 13 8 13 J DATA SET 200 5 2 5 2 J DATA SET 300 23 200 23 200 J DATA SET 400 15 71 15 71 J DATA SET 500 a f a 536 a b f b 312 b c f a 050 c x 10 y 10 2449 10y y 22 x 22 9 963 343 963 3 DATA ...

Page 74: ...OUND PV i BGN INT 1 0 PRN 1 INT 1 ROUND PMT BAL 1 PRN 1 PV INT m ROUND BAL m 1 i PRN m INT m ROUND PMT BAL m PRN m BAL m 1 ROUND NUM If a display notation tab setting has been chosen NUM is rounded and truncated to the specified number of places after the decimal point Results Error AMRT P1 AMRT P2 Discounted cash flow analysis m m CF where i RATE I Y 100 CFimax the maxi mum data set number IRR is...

Page 75: ...ill cause errors The formulas used for bond calculations are shown using the follow ing variable definitions TD Total number of days in the coupon period that begins with the coupon date previous to the settlement date and ends with the first coupon date after the settlement date On the 360 day calendar TD is 180 for semi annual coupon and 360 for annual coupon PD The number of days preceding the ...

Page 76: ... Sum of the years digits method SYD Calculations Results Declining balance method DB Calculations Results Error CST 0 SAL 0 CST SAL LIF when SL LIF 0 when SYD or DB LIF is not a positive integer I Y 0 DB only Conversion between APR and EFF N EFF APR 1 1 N 100 EFF 100 1 N Error EFF 100 N APR EFF 1 1 100 APR N 100 N Error 100 APR N Day and date calculations In day and date calculations this calculat...

Page 77: ...alculations where MAR MARGIN MU MARK UP Breakeven calculations Statistical Calcula tion Formulas Type Regression formula Linear y a bx Quadratic y a bx cx2 Exponential y a ebx Logarithmic y a b Inx Power y a xb Inverse 1 y a b x x x n Σ sx x2 nx2 n 1 Σ x x2 nx2 n σ Σ x x1 x2 xn Σ x2 x1 2 x2 2 xn 2 Σ y y n Σ sy y2 ny2 n 1 Σ y y2 ny2 n Σ σ y y1 y2 yn Σ y2 y1 2 y2 2 yn 2 Σ xy x1y1 x2y2 xnyn Σ An erro...

Page 78: ...ed before J Calculation error Error 2 The absolute value of an intermediate or final calculation result equals or exceeds 10100 An attempt was made to divide by zero The calculation ranges were exceeded while performing cal culations There was a financial calculation error such as an error listed in Financial Calculation Formulas see pages 72 75 occurred an attempt was made to find I Y when PV PMT...

Page 79: ...display 9 999 1099 when the dis play notation tab number was set to 2 If this happens press s and 0 2 to set the display notation settings to floating point Then try again Input value error Error 7 An attempt was made to enter a nonexistent date Ex February 30th An attempt was made to enter an invalid numeric value into a financial calculation a negative value or 0 into P Y or C Y anything except ...

Page 80: ...ints of functions In financial calculations a calculation error increases if the interest is low or the number of payments is high Press s if you d like to cancel the calculation while the calculating screen is displayed Calculation ranges 10 99 to 9 999999999 1099 and 0 If the absolute value of an entry or a final or intermediate result of a calculation is less than 10 99 the value is considered ...

Page 81: ... 1 1 x n x 0 10100 1 x log y 100 ex 10100 x 230 2585092 10x 10100 x 100 sinh x cosh x tanh x x 230 2585092 sinh 1 x x 1050 cosh 1 x 1 x 1050 tanh 1 x x 1 x2 x 1050 x 0 x 10100 1 x x 10100 x 0 n 0 n 69 nPr 0 r n 9 999 999 999 n 10100 n r nCr 0 r n 9 999 999 999 0 r 69 n 10100 n r n r integer ...

Page 82: ... case accidental erasure occurs When to replace the battery If the display has poor contrast or if nothing appears on the screen even when s is pressed it is time to replace the bat tery Caution Fluid from a leaking battery accidentally entering an eye could result in serious injury Should this occur wash with clean water and immediately consult a doctor Should fluid from a leaking battery come in...

Page 83: ...Do not use an object with a breakable or sharp tip see fig 3 Make sure that the display appears as shown If not remove the battery reinstall and check the display again Automatic power off function This calculator will turn its power off automatically if no key is pressed for about 10 minutes Priority Levels in Calculations This calculator performs operations according to the following priority 1 ...

Page 84: ... Pending operations 24 calculations 10 numeric values Power source 3 0 V DC Lithium battery CR2032 1 Operating life Approx 5 years with 1 hour of daily use May vary depending on the operating environment and operation method Operating temperature 0 C 40 C 32 F 104 F External dimensions 77 mm W 150 mm D 12 mm H 3 1 32 W 5 29 32 D 15 32 H Weight Approx 94 g 0 21 lb including battery Accessories Batt...

Page 85: ... Arithmetic operations 11 Automatic power off function 81 BALANCE 33 72 Battery replacement 80 81 Bond calculations 17 18 44 47 73 Breakeven calculations 17 58 59 75 symbol 8 20 Calculation ranges 78 79 Calculator layout 6 Calendar range 44 47 52 Cash flow data 12 37 40 76 Cash flow diagrams 21 Chain calculations 60 COMP symbol 7 20 Compound interest 21 54 56 75 Constant calculations 60 Conversion...

Page 86: ... change compound interest calculations 17 18 54 56 75 PERIODS N 18 54 75 Playback function 13 PMT 18 22 72 PRICE 58 75 PRICE PV 18 44 45 73 76 Priority levels in calculations 81 82 PROFIT 58 PV 18 22 72 PWR 64 P Y 18 22 72 77 QUAD 64 QUANTITY 58 RAD 8 9 61 78 Random coin 62 Random dice 62 Random functions 62 63 Random integer 63 Random numbers 62 RATE I Y 18 40 72 RBV 48 74 RDV 48 74 REDEMPT FV 18...

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Page 88: ...PRINTED IN CHINA IMPRIMÉ EN CHINE IMPRESO EN CHINA 19BSC TINSEA280EHZZ ...

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