Sharp EL-738 Operation Manual Download Page 22

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Compound interest

This calculator assumes interest is compounded per

iodically in

ﬁ nancial calculations (compound interest).

Compound inter-

est accum

ulates at a predeﬁ

ned r

ate on a per

iodic basis

. F

xample

, mone

y deposited in a passbook sa

ving account at

a bank accum

ulates a cer

tain amount of interest each month,

increasing the account balance

. The amount of interest receiv

each month depends on the balance of the account dur

ing that

month, including interest added in pre

vious months

. Interest

ear

ns interest, which is wh

y it is called compound interest.

It is impor

tant to kno

w the compounding per

iod of a loan or

estment bef

ore star

ting, because the whole calculation is

based on it.

The compounding per

iod is speciﬁ

ed or assumed

(usually monthly).

Cash ﬂ

dia
grams

The direction of arro

ws indicates the direction of cash mo

ement

(inﬂ
o

and outﬂ

w) with time

. This man

ual uses the f

ollo

wing

cash ﬂ

diag

rams to descr

ibe cash inﬂ

ws and outﬂ

yment (PMT)

......

Inflo

w (+)

Cash

flo
w

Present

alue (PV)

Future

lue (FV)

Time

Outflo

w (–)

3 Financial FunctionsCurrent.indd 21

06.7.10 8:38:12 PM

Summary of Contents for EL-738

Page 1: ...BUSINESS FINANCIAL CALCULATOR OPERATION MANUAL MODEL EL 738 ...

Page 2: ...r warranty of any kind 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 ﬁ nancial 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 se...

Page 3: ...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 Scientiﬁ c Functions 60 Constant Calculations 60 Chain Calculations 60 Scientiﬁ c Calculations 61 Random Fun...

Page 4: ...our 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 ﬂ uids for example water can splash onto it Raindrops water spray juice...

Page 5: ...ated instead of 1 0 0 To specify a memory function printed in green on above the key press i ﬁ rst Functions that are printed in black adjacent to the keys are effective in speciﬁ c modes Using the and i keys Press s t i A x 10 t 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 follows Key Display...

Page 6: ...ial display of the NOR MAL mode appears Resetting the Calculator In Case of Difﬁ culty 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 7: ... digit exponent Power ON OFF and Clear key Turns the calculator ON This key also clears the display To turn off the calculator press then c 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 SET UP key Displays the SET UP menu to select the display notation angular unit depreciation...

Page 8: ...unctions 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 ca...

Page 9: ...r 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 ﬁ xed decimal point scientiﬁ c notation and ﬂ oating 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 a...

Page 10: ...dure Key operation Display 100000 3 Fixed decimal point with two decimal places s 100000 8 3 1 3 3333333 Scientiﬁ c notation SCI with two signiﬁ cant 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 11: ...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 ﬁ nancial arithmetic or scientiﬁ c calculations STAT statistics mode Allows you to perform statistical arithmetic or scientiﬁ c calculations The symbol appears in the display NORMAL STAT 0 1 000 SD LINE QUAD 0 2 ...

Page 12: ...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 13: ...en a cash ﬂ ow 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 ﬁ nancial variables cash ﬂ ow data or STAT refer to the relevant section I...

Page 14: ...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 15: ...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 ﬁ nancial calculat...

Page 16: ... variable 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 ﬁ nancial variables Financial variables are speciﬁ c 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 ﬂ ow analysis calculations If you want to carry a...

Page 17: ...alculation 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 M 1 250 M 2 M 1 250 M 2 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 ...

Page 18: ...alue 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 converted between APR annual or nominal percentage rate and EFF effective interest rate Day and date calculations Calculate dates a...

Page 19: ...g calculations Financial variables are speciﬁ c 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 20: ...ncial calculation method by press ing the corresponding ﬁ nancial 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 1 Use z i to show the variable and value C Executing calculation 1 Use z i to select the v...

Page 21: ...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 ﬁ nan...

Page 22: ...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 speciﬁ ed or assumed usually monthly Cash ﬂ ow diagrams The direction of arrows indicates the dir...

Page 23: ...rest rate per year 0 PV v 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 Ref...

Page 24: ...the 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 compoun...

Page 25: ...ding 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 v 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 en...

Page 26: ...re ordinary annuity is set BGN is not displayed Set the number of pay ments per year to 4 w 4 Q P Y 400 Conﬁ rm 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 v 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 27: ...les 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 v PV 000 Enter payment 200 u 2 PMT 20000 Enter the annual i...

Page 28: ... 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 C...

Page 29: ...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 ﬁ xed 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 30: ...er system with a value of 2 995 The same system may be leased for 24 months at 145 per month paid at the beginning of each month At the end of the lease the system may be purchased for 10 of the retail price Should you lease or purchase the computer if you can obtain a two year loan at 7 2 compounded monthly to purchase the computer N 24 PV 2 995 I Y FV 2 995 10 299 5 PMT 145 Procedure Key operati...

Page 31: ...08 which is less than that of the interest rate on a two year loan so it would be more cost effective to lease a computer system than to purchase one 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 ﬁ ve year lease with payments of 200 at the beginning of each month the machine has a trade in value of 1 500 wit...

Page 32: ...4 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 v 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 ﬁ nance company charges a 5 5 APR compounded monthly on a 25 year loan If you can affo...

Page 33: ...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 v PV 14655892 Calculate the down payment s 180000 f v 18 PV 3344108 Answer You can borrow 146 558 92 in total The price of the house is 180 000 so Down payment 180...

Page 34: ...es are set AMRT 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...

Page 35: ...lay 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 v 0 T 5 45 f u PMT 61656 Answer The monthly payment is 616 56 Now generate an amortization schedule for the ﬁ rst 5 years of the loan If the ﬁ rst payment is in August the ﬁ rst year has 5 payment periods and the following year...

Page 36: ...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 37: ...yed Set TVM solver vari ables and calculate payment w 12 Q s 30 N 500000 v 0 T 8 5 f u PMT 384457 Answer The monthly payment is 3 844 57 Now generate an amortization schedule from the ﬁ rst 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 ...

Page 38: ...tered cash ﬂ ow data Press to enter a negative cash ﬂ ow outﬂ ow Make sure the calculator is in NORMAL mode It is not pos sible to enter cash ﬂ ow data when listed ﬁ nancial variables are shown on the display Press s to exit You can enter a total of up to 100 cash ﬂ ow and or statistical data items A single cash ﬂ ow value is counted as one data item while a cash ﬂ ow value with an associated freq...

Page 39: ...a set cash ﬂ ow and frequency values number which is initially set to 0 00 is dependent on calcu lator display notation settings Conﬁ rming and editing data Conﬁ rming data Press to display any previously entered cash ﬂ ow data The data is displayed in order by data item identiﬁ er number and value Use z i to display a data item from a previously entered data set CF D 2500000 Cash flow identifier ...

Page 40: ...nding frequency cash ﬂ ow 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 ﬂ ow value of zero and a frequency value of one will be inserted Modify the new data set to include your data Correcting cash ...

Page 41: ... 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...

Page 42: ...ss to calculate IRR RATE I Y Note If Error 5 is displayed in step 4 or if you want to ﬁ nd another IRR enter an estimated value into RATE I Y and calculate again in step 4 Solving for unequal cash ﬂ ows Your company pays 12 000 for a new network system and expects the following annual cash ﬂ ows 3 000 for the ﬁ rst year 5 000 for the second to fourth years and 4 000 for the ﬁ fth year At what IRR ...

Page 43: ...resent value of the cash ﬂ ows equals zero at an IRR of 23 14 Calculating the present value of variable cash ﬂ ows Your company has prepared forecasts for the development costs and operating proﬁ ts 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 44: ...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 ﬂ ow data stored press b to clear it 2 Calculate NPV Procedure Key operation Display Select discounted cash ﬂ ow 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 45: ...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 46: ...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 ﬁ nd 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 47: ... 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 I...

Page 48: ... to 1989 the 9 following the ﬁ rst 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 49: ...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 50: ...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 51: ...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 52: ...ent compounds monthly then the stated nomi nal percentage rate becomes a monthly rate and the EFF reﬂ ects 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 53: ...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 54: ...08 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 an...

Page 55: ...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 com pound interest calculations by pressing B To end percent change com pound interest calculations press s If you press s...

Page 56: ...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 ﬁ rst 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 57: ...ariables used in cost sell margin markup calcula tions Variable Description Default value COST Cost 0 SELL Selling price 0 MARGIN Proﬁ t margin 0 MARK UP Markup 0 Proﬁ t 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 58: ...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 59: ...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 60: ...les to default values b FIXED 000 Enter ﬁ xed 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 proﬁ t as is i PROFIT 000 Calculate quantity i QUANTITY 33937 Answer The breakeven point of this product is 339 37 units ...

Page 61: ...lt 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 62: ...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 c 1 5 1 5 2009 tanh 1 7 5 8 7 090 log 50 h 50 170 In 20 d 20 300 10 1 7 1 7 5012 e 3 R 3 2009 6 7 031 8 2 3 4 5 2 8 2 3 4 x 5 202498 12 3 12 3 4 645 49 4 81 49 4 81 400 4 2 2 1 4 1 6 1 7 5 7 ...

Page 63: ...to 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 signiﬁ cant digits set the display notation settings to ﬂ oating 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 Pr...

Page 64: ...d in scientiﬁ c 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 65: ...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 66: ... 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 67: ...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 68: ...h statistical calcula tion refer to the table below Single variable statistical calculations Section results only Linear regression calculations Section and results except for coefﬁ cients 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 and results and coefﬁ cients a b and c in the qua dratic reg...

Page 69: ...culation takes place it obtains all statistics except coefﬁ cients a and b from converted data rather than from entered data Variables Content 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 y Mean of samples y values sy Sample standard deviation y values y...

Page 70: ...t m 1 0 b Stat 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 sx 2 17857 Sx Œ 10 50 95 i 8 i 4 x 10 50 6443 DATA 1 95 x sx ...

Page 71: ... y m 1 1 Stat 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 72: ...eration Result x y m 1 2 Stat 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 73: ...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 speci ed number of places after the decimal point Results Error AMRT P1 AMRT P2 Discounted cash ﬂ ow analysis m m CF where i RATE I Y 100 CFimax the maxi mum data set number IRR is ...

Page 74: ...will cause errors The formulas used for bond calculations are shown using the follow ing variable deﬁ nitions TD Total number of days in the coupon period that begins with the coupon date previous to the settlement date and ends with the ﬁ rst 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 75: ... 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 76: ...MAR MARGIN MU MARK UP Breakeven calculations Statistical Calcula tion Formulas Type Regression formula Linear y a bx Quadratic y a bx cx 2 Exponential y a e bx Logarithmic y a b Inx Power y a x b Inverse 1 y a b x x x n Σ sx x 2 nx 2 n 1 Σ x x 2 nx 2 n σ Σ x x 1 x 2 x n Σ x 2 x 1 2 x 2 2 x n 2 Σ y y n Σ sy y 2 ny 2 n 1 Σ y y 2 ny 2 n Σ σ y y 1 y 2 y n Σ y 2 y 1 2 y 2 2 y n 2 Σ xy x 1 y 1 x 2 y 2 x...

Page 77: ...d before J Calculation error Error 2 The absolute value of an intermediate or ﬁ nal calculation result equals or exceeds 10 100 An attempt was made to divide by zero The calculation ranges were exceeded while performing cal culations There was a ﬁ nancial calculation error such as an error listed in Financial Calculation Formulas see pages 72 75 occurred an attempt was made to ﬁ nd I Y when PV PMT...

Page 78: ...isplay 9 999 10 99 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 ﬂ oating 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 ﬁ nancial calculation a negative value or 0 into P Y or C Y anything except ...

Page 79: ...of functions In ﬁ nancial 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 10 99 and 0 If the absolute value of an entry or a ﬁ nal or intermediate result of a calculation is less than 10 99 the value is considered to b...

Page 80: ...x n x 0 10 100 1 x log y 100 e x 10 100 x 230 2585092 10 x 10 100 x 100 sinh x cosh x tanh x x 230 2585092 sinh 1 x x 10 50 cosh 1 x 1 x 10 50 tanh 1 x x 1 x 2 x 10 50 x 0 x 10 100 1 x x 10 100 x 0 n 0 n 69 nPr 0 r n 9 999 999 999 n 10 100 n r nCr 0 r n 9 999 999 999 0 r 69 n 10 100 n r n r integer ...

Page 81: ... 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 ﬂ uid from a leaking battery come in...

Page 82: ...imilar object Do not use an object with a breakable or sharp tip see ﬁ g 4 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 followi...

Page 83: ...s 10 numeric values Power source 3 0 V DC Lithium battery CR2032 1 Power consumption 0 0004 W 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 83 mm W 150 mm D 11 mm H 3 9 32 W 5 29 32 D 7 16 H Weight Approx 98 g 0 22 lb including battery but not wallet type case...

Page 84: ...11 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 Conversi...

Page 85: ... 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...

Page 86: ...85 MEMO ...

Page 87: ...86 For USA only This product contains a CR Coin Lithium Battery which contains Perchlorate Material special handling may apply California residents See www dtsc ca gov hazardouswaste perchlorate ...

Page 88: ...PRINTED IN CHINA IMPRIMÉ EN CHINE IMPRESO EN CHINA 06GGK TINSE1258EHZZ ...

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Sharp EL-738, Operation Manual

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