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Mathematical Calculations 15

For more complex problems requiring two or more operations, you do not need to enter 

parentheses to set operational priority. Key in numbers and operations inside the parentheses 

first, followed by those outside of the parentheses. If a problem has more than one set of 

parentheses, start by working with the operations and numbers in the innermost parentheses 

and work out. For example, calculate:

(3 + 4) x (5 + 6)

One way to calculate this problem is to key in the numbers and operations within the 

parentheses first, followed by the operation outside of the parentheses. See Table 2-3. 

Table 2-2 Last Number

Keys Display

Description

:u3I

Sets 

FIX=

 to 

3.000

 

<<<<
<
II

Selects 

RPN

 as the operating mode.

O1c23
I56c
1
23

Inputs 

1.23

 and 

56.123

 

+:d/

Adds 1.23 and 56.123, then divides 
the sum by the last number, 56.123. 
Returns results in the selected display 
format.

Содержание 20b Business Consultant

Страница 1: ...i HP 20b Business Consultant HP 30b Business Professional Financial Calculator User s Guide HP Part Number NW238 90001 Edition 1 December 2009 ...

Страница 2: ...cal or editorial errors or omissions contained in the manual Hewlett Packard Company shall not be liable for any errors or for incidental or consequential damages in connection with the furnishing performance or use of this manual or the examples contained herein Copyright 2009 Hewlett Packard Development Company L P Reproduction adaptation or translation of this manual is prohibited without prior...

Страница 3: ...iii HP 20b Business Consultant ...

Страница 4: ...iv HP 30b Business Professional ...

Страница 5: ...me Value of Money keys TVM 10 Program menu RPN Swap Close parenthesis 3 Cash Flow IRR and NPV keys 1 1 Backspace key Reset menu 4 Data and Statistics menus 12 Percent Percent calculation business and Date menus 5 Input key and Memory menu 13 Recall and Store 6 Insert and Delete scroll up and down 14 Black Scholes and Bond menus 7 Shift key 15 Amortization Depreciation menus 8 On Off Cancel 16 Annu...

Страница 6: ...vi ...

Страница 7: ...E Key 7 The Reset Menu 7 Notes about Special Menus 8 Memory and the Memory Menu 8 Accessing Menus and Menu Maps 8 2 Mathematical Calculations 11 Mathematical Functions 11 Number Entry and Display 11 Chain Mode 12 Algebraic Mode 12 Reverse Polish Notation RPN Mode 13 The RPN Stack 13 Last Number 14 One Number Functions and the Math Menu 18 Random number 19 The Math Menu 19 The Probability Sub menu ...

Страница 8: ...atistical Operations 69 The Data and Stats Menus 70 13 Programming 75 Programming the HP 30b 75 Key Presses for Program Instructions 75 Programming Example 77 Program Step 0 78 Reassigning Menu Functions 79 The Program Menu and Program Editing 80 Tests and Jump Functions 81 Long Programs and Battery Life 82 Sub Function Call 82 Other Programming Functions 83 Messages 84 Debugging a Program 85 Savi...

Страница 9: ... model they will be identified throughout the manual with an asterisk Turning the Calculator On and Off To turn on your calculator press O To turn it off press a Turning the calculator off does not erase any data The calculator automatically turns itself off after approximately five minutes to conserve energy If you see the low battery symbol in the display replace the batteries See the Chapter 15...

Страница 10: ...s you have entered or results Throughout this manual this line is referred to as the bottom line When no operations have been entered and no operations are pending the bottom line of the screen displays 0 00 This state of the calculator is referred to as the default calculator screen The Mode Menu Setting Preferences The Mode menu allows you to customize the calculator To access the Mode menu pres...

Страница 11: ...yyyy format or 3 122010 in dd mmyyyy format Note the in both formats separating the first and second groups The valid range of dates is October 15 1582 to December 31 9999 Default is mm ddyyyy format Pressing I toggles between these options Note that when a date is displayed a number between 1 and 7 also displays at the right of the screen This number indicates the day of the week corresponding to...

Страница 12: ...or Semiannual Bond type Default is Annual Pressing I toggles between these options TVM Standard or TVM Canada Activate or deactivate the compounding per year C YR option in time value of money TVM calculations This option is primarily used for Canadian mortgage calculations See Chapter 4 Canadian Mortgages TVM Canada for more information Pressing I toggles between these options Table 1 1 Mode Menu...

Страница 13: ...ymbol followed by the key with the secondary function For example to execute sine press p Note how the SIN portion of the key is highlighted while the 7 is grayed out This highlighting focuses on the function of the key that will be activated in a given command Commands with a tertiary function are represented by the shift key symbol followed by the term HOLD followed by the key with the tertiary ...

Страница 14: ...al operation to calculate the final result For example 1 2 returns a final result of 3 The key when pressed outside of a mathematical operation also allows you to request a calculation for the value of an item This request only applies to items that can be calculated Using the Input and Equals Keys Suppose you wanted to calculate the effective interest rate for a 12 nominal interest rate with 12 p...

Страница 15: ...he earliest The Reset Menu The Reset menu allows you to reset some or all of the menu items variables and registers to their default values To open the Reset menu press x TVM displays on the top line Press or repeatedly to scroll to a specific item To validate a choice and reset the selected items press I Press Oto cancel If you select the command to reset the cash flow Cash Flow statistics Stats ...

Страница 16: ...ash Flow and Statistics data share the same memory and are limited to a combined total of 50 memory slots The number displayed with Memory refers to the number of remaining memory slots When the cash flow or statistics items are displayed a number also appears on the bottom line This number indicates the number of memory slots used by the cash flow or statistical data 290 bytes are available for p...

Страница 17: ... to return to the display of the Fixed menu item shown in Figure 5 press O Some menus have sub menus If an item represents a sub menu pressing I with that menu item displayed opens the sub menu Once the menu sub menu is open use and to navigate through the items of the sub menu unless otherwise directed In this manual diagrams called Menu Maps are included at the beginning of each section to assis...

Страница 18: ...menu are display only they are values computed internally by the calculator 3 Write only Write only items such as investment interest rate Inv I in the Net Present Value NPV menu are similar to read write items in that the INPUT annunciator is lit when these items are selected indicating that keying in a number and pressing I stores that number in that menu item However the key does not calculate ...

Страница 19: ...r in the display press the number digits successively A number can have up to 12 digits To change the sign of a number from positive to negative press Use scientific notation to enter very large and very small numbers For example to enter the number 1 23x 10127 in scientific notation first enter the mantissa 1 23 and then press wand enter the number 127 representing the exponent The exponent must ...

Страница 20: ...See Table 2 1 below Algebraic Mode To set the calculator in Algebraic mode refer to the section titled The Mode Menu Setting Preferences in Chapter 1 In Algebraic mode multiplication and division have a higher priority than addition and subtraction For example in Algebraic mode pressing 1 2 3 returns a result of 7 00 In Chain mode the same key presses return a result of 9 00 In Algebraic mode oper...

Страница 21: ... Each time you press an operation or function key in RPN the answer is calculated immediately and displayed For example suppose you wanted to add two numbers in RPN 1 and 2 Press 1I2 The result 3 00 is calculated and displayed immediately on the bottom line along with the symbol on the top line NOTE in RPN mode when you are in a menu for which I or are valid pressing these keys enters the number b...

Страница 22: ... the stack performs the operation and pushes the results back into the stack With the numbers entered into the stack as shown in Figure 3 pressing changes the stack as shown in Figure 4 Note that when the numbers are popped out to add 23 and 41 Level 4 of the stack remains unchanged Figure 4 The RPN Stack of Figure 3 Shown After the Addition Operation Last Number Each time you perform a mathematic...

Страница 23: ...he operations and numbers in the innermost parentheses and work out For example calculate 3 4 x 5 6 One way to calculate this problem is to key in the numbers and operations within the parentheses first followed by the operation outside of the parentheses See Table 2 3 Table 2 2 Last Number Keys Display Description u3I Sets FIX to 3 000 II Selects RPN as the operating mode O1c23 I56c 1 23 Inputs 1...

Страница 24: ...Arithmetic Calculations in RPN Mode Keys Display Description RPN Stack 3I4 Inputs the numbers and the operation in the first set of parentheses Intermediate results are displayed Note the and RPN annunciators 5I6 Inputs the numbers and the operation in the second set of parentheses Intermediate results are displayed Note the annunciator Finishes the operation and displays the results Previous Valu...

Страница 25: ... to Level 1 the number in Level 3 to moves down to Level 2 the number in Level 4 to moves down to Level 3 and the number of Level 1 to moves up to Level 4 The key has a small down arrow on it to indicate the roll down feature With the numbers entered into the stack shown in the left column in Figure 6 pressing performs the roll down of the stack shown in the right column Figure 6 The RPN Stack and...

Страница 26: ...4 below apply to all modes Chain Algebraic and RPN To execute one number functions with a number displayed press the key or key combination corresponding to the operation you wish to execute The result is displayed on the bottom line For example to calculate press 6 n The result of 2 45 is calculated immediately and displayed on the bottom line Note the square root symbol appears on the top line N...

Страница 27: ...tion p Calculates sine q Calculates cosine r Calculates tangent k Calculates natural log l Calculates natural exponent to the power of x m Calculates square of x n Calculates square root f Executes the Random function Returns a random number in the range 0 x 1 g Calculates factorial of x where 253 x 253 The Gamma function is used to calculate x for non integers or negative numbers i Calculates the...

Страница 28: ...of these items to access the functions within the sub menus Press to scroll through the functions IP and FP functions are not available on the HP 20b DWN DWN INPUT s Trigonometry Hyperbolic Probability ABS Absolute Value PI SIN 1 SINH COSH TANH LTND LTND 1 LOG INPUT DWN COS 1 DWN TAN 1 TANH 1 SINH 1 COSH 1 DWN DWN INPUT DWN Student Student 1 Chi 2 Chi 2 1 F Distribution F 1 Distribution DWN Binomi...

Страница 29: ...Chi2 F Distribution and Inverse F Distribution perform similar operations for Student Chi2 and F Distributions Student Chi2 and F Distribution and their inverse operations are special cases as they require more than one number as input Student and Chi2 require N the number of degrees of freedom and F Distribution requires N1 and N2 two degrees of freedom To perform Student and Chi2 operations or t...

Страница 30: ...xamples below are calculated with Chain set as the operating mode Table 2 6 Probability Example Keys Display Description 10I 8I s Enters 10 degrees of freedom and the number for which probability is to be calculated Opens the Math menu I Selects the Probability menu item and scrolls to Chi2 I or Validates the result Table 2 7 Inverse Probability Example Keys Display Description 10I 0 37 12I s Ente...

Страница 31: ... the power function nCr stands for the number of combinations of n items taken r at a time and nPr stands for the number of permutations of n items taken r at a time Combination Permutation Perform calculations with these functions in the same way you would perform calculations with and but press to access the secondary function key For example to calculate 153 1 Press 15 2 Press h 3 Press 3 The r...

Страница 32: ...s L2 to recall memory 2 Note how the current value now stored in memory 2 is 17 5 12 and are valid mathematical operations for memories To view the stored values in memories 1 9 and 0 press t followed by or repeatedly to scroll through each memory starting with memory 1 Mem 1 Note that in the Memory menu you can change the value of any memory by selecting the memory and typing a number followed by...

Страница 33: ...rs All calculations are performed internally with 15 digit precision and are rounded to 12 digits when returning the results In certain instances calculations are performed internally with greater than 15 digit precision When displayed a number is further rounded to the number of digits after the decimal point set by the FIX item in the Mode menu The default setting is two digits to the right of t...

Страница 34: ...x is the number on Level 1 of the stack It does not modify the number on Level 2 of the stack and thus allows you to perform addition or subtraction after pressing to add or subtract x from the number For example 200I25 returns 50 but 200 is still on Level 2 of the stack and pressing returns 150 or 200 25 ...

Страница 35: ...amount each arrow represents a longer arrow indicates a larger amount a shorter arrow a smaller amount Each arrow s position on the line represents the time at which the cash flow occurs The orientation of the arrow up or down represents the direction of the cash flow up for money received down for money paid out See Figure 1 Figure 1 Cash Flow Diagram Example with Corresponding TVM Keys The TVM f...

Страница 36: ...ed with RPN set as the operating mode Table 3 1 TVM Keys Keys Description N Stores or calculates the number of payments or compounding periods Multiplies a value by the number of payments per year and stores as N Y Stores or calculates the nominal annual interest rate V Stores or calculates the present value PV To a lender or borrower PV is the amount of a loan to an investor PV is the initial inv...

Страница 37: ...s are based on values stored in the following TVM registers N Y V M and To enter values for the TVM variables enter a number followed by the corresponding key For an amortization example see Table 3 4 Keys Display Description 12 Inputs 12 as the number of payments per year or compounding periods per year 360N Inputs 360 as the number of payments over 30 years 6 5Y Inputs 6 5 as the nominal interes...

Страница 38: ...value is the number of payments per year defined by the key Start Period on which to start amortization Default is 1 If you want to amortize for the second year with 12 payments per year enter 13 the second year starts at the 13th payment with 12 payments per year Balance The loan balance at the end of the assigned amortized period Principal Amount of the loan payment applied to the principal at t...

Страница 39: ... by default but it maintains its current entered value when TVM Reset is used 30 Inputs 360 30 times 12 payments per year as the number of payments for the 30 year loan 10Y Inputs 10 as the interest rate percentage per year 1400 00V Inputs the value of the loan at the time of the first payment 0F Inputs 0 as the future value of the loan zero balance M Calculates the monthly payment A Displays the ...

Страница 40: ...or O to cancel Displays the amount of interest paid on the loan for the first year The amount of your payments applied towards interest for the first year is about 14 000 00 Displays the first payment in the next period to amortize the second year Note that the calculator automatically updates Start to the next group of periods to amortize Table 3 4 Amortization Example Keys Display Description ...

Страница 41: ...menu IConv press Table 3 5 Interest Conversion Menu Items Item Description Nom Nominal interest rate the stated annual interest rate compounded as represented by C YR such as 18 compounded monthly C YR 12 Eff Effective annual interest rate taking compounding into account C YR Compounding periods per year Default is 12 Nom Eff C YR DWN ...

Страница 42: ...d value for C YR or P YR an invalid P YR error ER Invalid P YR will occur If you set C YR to 0 the resulting interest conversions are calculated assuming a continuous compounding As stated above 0 is not a valid value for P YR or C YR when used in TVM calculations and you will have to reset it to a valid value before performing TVM calculations To reset the menu items to their default values with ...

Страница 43: ...h enables you to select the number of compounding periods per year For more information refer to Chapter 1 Basic Features To open the P YR menu press Note the following change in features with TVM Canada enabled 1 The P YR key opens a menu with two items P YR and C YR in which you can specify the number of payments and compounding periods per year See Figure 1 2 In the Interest Conversion menu the...

Страница 44: ...or O to cancel To exit the menu press O once again With the menu in its default settings P YR and C YR are both set to 12 payments compounding periods per year Table 4 1 Canadian Mortgage Example Keys Display Description u Opens the Mode menu starting with the current FIX value number of digits to the right of the decimal point I Scrolls to TVM mode and sets mode to TVM Canada O Returns to default...

Страница 45: ...mber of consecutive occurrences of that cash flow By default CF n is equal to 1 as most cash flows occur only once However in cases where a cash flow is repeated multiple times using CF n instead of entering the cash flow value multiple times saves calculation time and memory space in the calculator To enter a cash flow list press C to open the cash flow menu For each cash flow item first enter th...

Страница 46: ...turn IRR of the investment Calculate net present value NPV and net future value NFV assuming an annual investment interest rate of 10 5 See Figure 1 for the cash flow diagram and Table 5 2 for how to enter the cash flows The example is calculated with RPN as the active operating mode Table 5 1 Cash Flow Keys Key Description C Opens the cash flow list I Inputs new values for variables in the cash f...

Страница 47: ...F 1 Displays the current monetary value of CF 2 4500 I Inputs 4500 as the monetary value of CF 2 Displays the current value 1 for the number of times CF 2 occurs I Accepts 1 as the number of occurrences for CF 2 Displays the current monetary value of CF 3 I Accepts 0 as the monetary value of CF 3 Displays the current value 1 for the number of times CF 3 occurs I Accepts 1 as the number of occurren...

Страница 48: ...occurs 5I Inputs 5 for the number of occurrences for CF 5 Displays the current monetary value of CF 6 1150 00I Inputs 1 15000 as the monetary value of CF 6 Displays the current value 1 for the number of times CF 6 occurs I Accepts 1 as the number of occurrences for CF 6 Table 5 2 Cash Flow Example Keys Display Description ...

Страница 49: ...ime of the last cash flow discounting the earlier cash flows by the value set for Inv I NetUS Net Uniform Series Shows the per period payment of a regular periodic cash flow of equivalent present value to the cash flow list Payback Payback Shows the number of periods for the investment to return value Discounted Payback Discounted Payback Shows the number of periods required for the investment to ...

Страница 50: ...Cash Flows 42 Figure 2 The Menu Maps for the NPV and IRR Menus Does not apply to the HP 20b P Inv I Net PV Net FV DWN Net US Payback Discounted Payback Total CF Yr R IRR Inv I Safe I DWN MIRR FMRR CF Yr ...

Страница 51: ... as per the example Displays the NPV of the cash flow with the given Inv I Displays the NFV of the cash flow with the given Inv I Displays the Net US of the cash flow with the given interest rate Displays the number of periods required for the cash flow to repay the investment Scrolls to the total value of the cash flow R Displays the IRR for the cash flow ...

Страница 52: ...r CF Yr Investment interest rate Inv I and safe interest rate Safe I can be entered in both the NPV and IRR menus Key in the desired number or rate followed by I with the item displayed The other items are then calculated internally Modified Internal Rate of Return MIRR and Financial Management Rate of Return FMRR For the cash flow example you entered in Table 5 2 edit the cash flows using the cas...

Страница 53: ...Description R Opens the IRR menu Displays the IRR for the cash flow 1 I Optional Verifies one cash flow list per year as per the example 8 I Inputs 8 for investment rate 5 I Inputs 5 for the safe investment rate Displays MIRR Displays FMRR ...

Страница 54: ...Cash Flows 46 Sample Cash Flow Diagrams Figure 3 Sample Cash Flow Diagrams ...

Страница 55: ...onds 47 6 Bonds Figure 1 The Menu Map for the Bond Menu Does not apply to the HP 20b B Set Date Mat Date CPN Call Yield Price Accrued Actual Cal 360 Annual Semi annual DWN Mod Duration Macaulay Duration ...

Страница 56: ...tion Settlement Date Settlement date Displays the current settlement date Note input only Maturity Date Maturity date or call date The call date must coincide with a coupon date Displays the current maturity Note input only CPN Coupon rate stored as an annual Note input only Call Call value Default is set for a call price per 100 00 face value A bond at maturity has a call value of 100 of its face...

Страница 57: ...Table 6 2 Bond Calculation Example Key Display Description B Opens the Bond menu Scrolls to bond coupon payment frequency I Selects semiannual coupon payment as required by the example 4 2 82010 I Inputs April 28 2010 for the settlement date mm ddyyyy format 6 0 42020 I Inputs June 4 2020 for the maturity date 6 7 5I Inputs 6 75 for the value for CPN Displays current call value Default is 100 Note...

Страница 58: ... O again to exit the menu 1 Stores 1 15 89 in memory 1 Displays the current value for accrued interest L1 Returns the result for total price value of price value of accrued interest in RPN mode If calculating in Chain or Algebraic modes at this point press L1 The net price you should pay for the bond is 1 18 58 Table 6 2 Bond Calculation Example Key Display Description ...

Страница 59: ...tion Menu 51 7 Black Scholes Calculation Menu Figure 1 The Menu Map the Black Scholes menu Does not apply to the HP 20b HOLD B Stock price Strike price Time to maturity Risk free Volatility Dividend Call price Put price DWN ...

Страница 60: ...ll an asset from to party B at a given price The Black Scholes model is used to calculate an estimated fair market price for that option meaning that it calculates the fair price that someone would pay to buy or sell the option to later buy or sell an asset at a given price The asset or stock that the option refers to is often called the underlying asset The Black Scholes calculation is based on t...

Страница 61: ... sell the underlying asset at maturity Time to maturity input Time remaining until expiration of the option in years Risk free input Current risk free interest rate for example the current US Treasury Bond rate Volatility input Degree of unpredictable change of the stock price This is usually approximated by the standard deviation of the variation of the stock price Dividend input Estimation of th...

Страница 62: ...Data menu Enter the historical prices for the x values and the dividend for each y value For more information about entering data in the Data menu see Chapter 12 Statistical Operations Table 7 2 Open the Black Scholes menu Use the arrow keys or to scroll through the menu With the menu item displayed key in the value in the right column of the table followed by I Table 7 3 Historical Asset Price x ...

Страница 63: ...I Inputs 85 for x and 5 for y 78I 1I Inputs 78 for x and 1 for y 72I 0I Inputs 72 for x and 0 for y HOLD B Opens Black Scholes menu 74I Inputs 74 for Stock Price Scrolls to Strike Price 72I Inputs 72 for Strike Price Scrolls to Time to Maturity 3 I Inputs 0 3 years for Time to Maturity Scrolls to Risk Free 5I Inputs 5 for Risk Free Scrolls to Volatility ...

Страница 64: ...ntered the historical data you can enter the standard deviation of the price of the underlying asset directly by typing the number and pressing I Press to scroll to the next item Press to scroll to the next item Calculates the average dividend return as a percentage of the underlying asset cost based on the historical data entered in the Data menu If you have not entered the historical data enter ...

Страница 65: ... formats may be set in the Mode menu The range of acceptable dates is October 15 1582 to December 31 9999 For more information on setting the preferences in the Mode Menu see the section titled The Mode menu Setting Preferences in Chapter 1 To change the value of a displayed item key in a number or a date and press I Once you have entered all known data press or repeatedly to scroll to the unknown...

Страница 66: ...n to exit the menu Table 8 1 Date Calculation Example Key Display Description Opens the Date Calculation menu NOTE 2 in the right of the display represents the day of the week 2 represents Tuesday 6 04 2010 I Inputs the starting date in the selected format 10 3120 10I Inputs the ending date in the selected format Calculates the number of actual days between the starting and ending dates ...

Страница 67: ...oll to the unknown item and press to calculate it The break even function allows you to study problems involving a profit when a quantity of items with a cost to manufacture and a fixed price to develop and market is sold at a given price see Figure 1 Break even Example The sale price of an item is 300 00 the cost is 250 00 and the fixed cost is 150 000 00 How many units would have to be sold to m...

Страница 68: ...e menu Table 9 1 Break even Example Keys Display Description y Opens the Break even menu starting with the current value for fixed costs 1500 00I Inputs 150 000 00 for fixed cost 250 I Inputs 250 00 for variable cost per unit 300 I Inputs 300 00 for price 100 00I Inputs 10 000 00 for profit Calculates the current value for the unknown item 3200 units would have to be sold to return a profit of 10 ...

Страница 69: ...Tot 4 Percent change Change These items allow you to access sub menus Press or repeatedly to scroll to the desired sub menu then press I to open it see Figure 1 To change the value of a displayed item key in a number and press I Once you have entered all known data press or repeatedly to scroll to the unknown item and press to calculate it DWN DWN INPUT DWN Mkup C Mkup P Part Tot Change Cost Price...

Страница 70: ... are calculated with RPN as the active operating mode Percent Calculation Examples See the tables below for examples of calculations in the calc menu 1 Find the markup on an item if the cost price is 15 00 and the selling price is 22 00 Table 10 1 Markup Example Keys Display Description Opens the Calc menu I Opens the Mkup C sub menu 15I Inputs 15 for Cost 22 I Inputs 22 for Price Calculates the v...

Страница 71: ... in calculations between the old value and new value The default is 1 but to change the setting key in a number with Nb Period displayed followed by I After calculating the example above with no compounding say for example you wish to calculate the percent change over six compounding periods Table 10 2 Percent Change Example Keys Display Description Opens the Calc menu Scrolls to Change I Opens th...

Страница 72: ...g Keys Display Description The current value of Change for the given data 6I Inputs 6 for the number of compounding periods Calculates the percent change between the old value and the new value over six compounding periods Table 10 4 Part of Total Example Keys Display Description Opens the Calc menu Scrolls to the Part Total menu item I Opens the Part as Total sub menu 80I Inputs 80 for Total 30 I...

Страница 73: ...n Figure 1 The Menu Map for the Depreciation Menu Life Start Cost Salvage Factor Year auto increment Press I to scroll through the options Sline SOYD DecBal DBXover French Sl Amort F Depreciation R Book Value R Depreciable Value DWN ...

Страница 74: ...epreciation Method Description Sline Straight line is a method of calculating depreciation presuming an asset loses a certain percentage of its value annually at an amount evenly distributed throughout its useful life SOYD Sum of the years digits is an accelerated depreciation method In SOYD the depreciation in year y is Life y 1 SOY of the asset where SOY is the sum of the years for the asset or ...

Страница 75: ...le enter 3 5 for Start Cost The depreciable cost of the asset at acquisition Salvage The salvage value of the asset at the end of its useful life Factor The declining balance factor as a percentage This is used for declining balance and declining balance crossover methods only Year Year for which you want to calculate the depreciation Depreciation Depreciation in the given year R Book Value Remain...

Страница 76: ...ue To calculate for a year other than 1 type a number and press I Depreciation of the asset in year one Remaining book value after year one Remaining depreciable value after year one The next year for which to calculate the depreciation To calculate for a year other than 2 type a number and press I Depreciation of the asset in year two Remaining book value after year two Remaining depreciable valu...

Страница 77: ...y items 2 Vars Only DWN DWN INPUT INPUT INPUT DWN DWN DWN Nb Item x Mean y Mean x Std Dev y Std Dev x Population y Population S E Samp x S E Samp y Press I to select a x b a Ln x b b e a x b xa b ax a x b ax2 bx c Sigma x DWN Sigma y Sigma x2 Sigma y2 Sigma xy Quartiles y items 2 Vars Only x Min x Q1 x Median x Q3 x Max y Min y Q1 y Median y Q3 y Max DWN DWN INPUT Pred x Pred y a C ax2 bx c only C...

Страница 78: ...After selecting the type of statistical operation you want select a sub menu by pressing or and press I to open it Once in a sub menu press or repeatedly to view the results To return from the sub menu to the Statistics menu press z NOTE in one variable modes there are no items for y and the Predictions sub menu is not available Pressing I with the Predictions sub menu displayed opens a sub menu i...

Страница 79: ...en hypothetical value of x based upon the model calculated to fit the data a The a coefficient for the chosen regression model which is the slope for a linear model b The b coefficient for the chosen regression model which is the y intercept for a linear model c The c coefficient for the chosen regression model applies only for ax2 bx c Correlation The correlation coefficient for the given x y dat...

Страница 80: ...number as x and the sales values as y Enter these into the Data menu Using the Statistics menu for Predictions predict sales for month seven What is the linear regression line What is the sum of all the y values See Table 12 2 and Table 12 3 Table 12 2 Statistics Example Months and Sales Values Month Sales Values 1 150 2 165 3 160 4 175 5 170 ...

Страница 81: ...60I Inputs values for x 3 and y 3 4I1 75I Inputs values for x 4 and y 4 5I1 70I Inputs values for x 5 and y 5 z Opens Stats menu I Opens Descriptive sub menu Displays average y z I Opens Predictions sub menu NOTE this example performs calculations based on a linear a x b regression line 7I Inputs 7 as the Prediction x value month 7 Calculates Prediction y value sales at month 7 ...

Страница 82: ... x At the prompt Stats press I Confirm your choice by pressing I Displays value for a the slope of the regression line Displays current value for b the y intercept of the regression line Displays value for Correlation z I Opens Sums sub menu Displays the sum of all y values Sigma y Table 12 3 Statistics Example Keys Display Description ...

Страница 83: ...ator package you should find an overlay which shows the programming functions This is designed to be placed on the top surface of the calculator and left in place for the life of the calculator If you are interested in programming the calculator you will need to place the overlay on your keyboard before getting started Key Presses for Program Instructions Enter the Program menu by pressing followe...

Страница 84: ...rogrammed A program allows you to repeat an algorithm or sequence of commands without having to retype all the keys each time you want to use that particular function Programming Key Instructions HOLD Equal to HOLD Not equal to HOLD Less than HOLD Less than or equal to HOLD Greater than or equal to HOLD Greater than HOLD GOTO HOLD GOTO if True HOLD GOTO if False HOLD Label HOLD Stop HOLD Display H...

Страница 85: ...m that can calculate the volume of a sphere without having to retype all the keys each time you wish to calculate the volume of a given sphere Verify your FIX setting is set for three digits to the right of the decimal point For more information on the FIX setting refer to the section titled The Mode Menu Setting Preferences in Chapter 1 Basic Features Table 13 2 Keys Display Description E Enters ...

Страница 86: ...ogram by pressing O key in a number 5 and then press k and you will see the your program was executed with the same results as shown in the table E Quits program editing mode Note that program 0 uses 13 bytes and has a checksum of 104 Checksum is a number that verifies the program data is correct You must be set in FIX 3 or higher to see the full checksum If your number does not match that shown v...

Страница 87: ...ou use SIN frequently you may want to have ASIN available directly on the keyboard as well Having the ability to assign keys permits you to do this easily Table 13 3 below illustrates how to reassign a menu function to the keyboard Table 13 3 Reassigning Menu Functions Keys Display Description E I Opens Program menu Scrolls to step 1 of Program 9 sI HOLD HOLD Press the keys to enter the steps of t...

Страница 88: ...m outside of program mode In the reset menu select Prgm The number at the bottom of the display represents the amount of programming steps in use Press I twice to erase all programs To erase a specific program go to the program menu select the program with the or keys and press xI to erase that specific program To execute a program select the program in the program menu and press To edit or modify...

Страница 89: ...s 2 Type a number between 00 and 99 for numbers smaller than 10 you must type the 0 first such as 03 3 For example HOLD creates label 03 in your program You can then use a GOTO 03 instruction to jump to that label from any location in your program to the position of the label GOTOT Go To If True and GOTOF Go To If False will only jump if the current displayed number is non 0 true for GOTOT or 0 fa...

Страница 90: ...ograms to perform a function not present in the calculator or to automate a task requiring many keystrokes and then run relatively quickly If a program takes more than one second to run the CPU speed will be reduced in order to preserve battery life Sub Function Call It is often useful in a program to have the option to reuse a sub program from various locations To avoid having to retype these sub...

Страница 91: ...eeii where cccc is the counter eee is the end value for the counter and ii is the increment in variable 1 For example DSE 1 will decrement the counter part of the variable by ii if ii is 0 it decrements by 1 and if cccc is less or equal to eee it will skip the next instruction usually a GOTO For example to loop from 0 to 50 incrementing by 3 each loop use 0 05003 as start the value and the ISG ins...

Страница 92: ... remove the last character There are also shortcuts for commonly used characters 0 9 selects the corresponding numeric character selects selects are shortcuts for the corresponding mathematical operator signs selects space Once the character appears press t to validate Press O to exit message entry If you want to modify a message that has been entered in a program select the message and press HOLD...

Страница 93: ...a Program At times programs do not work as expected You can debug your programs by pressing the HOLD or HOLD keys as follows Open the Program menu and select the program you want to debug To execute the first instruction press HOLD Press this key combination repeatedly to execute your program one instruction at a time The current instruction is displayed as long as the key is pressed If you want t...

Страница 94: ... this setting will not change For example 314 u will switch to RPN mode No other setting will change Table 13 4 Digit Description A is 1 for radian mode 2 for degree mode a is 1 in Semi annual mode 2 in Annual mode C is 1 in Standard TVM mode 2 in Canadian TVM mode c is 1 in Actual day count mode 2 in 360 day count mode d is 1 if the decimal separator is 2 for ff is 00 to 1 1 or 13 and indicates t...

Страница 95: ...ress E and note that Prgrm 2 is selected as the calculator displays the program that was last edited For verification this program has 1 1 bytes and the checksum 199 4 Press HOLD 2 to solve for variable 2 The calculator will attempt to find what value in variable 2 would cause the program to result in 0 In this case the result is 27 5 Now store 10 into variable 2 10 2 Since Prgrm 2 was the last pr...

Страница 96: ...Programming 88 ...

Страница 97: ...culation of x non integer y ER Out of Bounds Input out of bounds ER Invalid P YR Returned by TVM functions if payments per year are invalid 0 or non integer ER Invalid Input Returned if arguments are invalid for any reason ER Invalid I Returned by finance functions if I is 100 ER No Solution Returned when there is no solution to the problem ER Many or No Solutions Returned if there is no solution ...

Страница 98: ...ply a new guess ER Stack Stack overflow when performing calculations with more than 12 pending operations ER Parenthesis An error linked to use of parentheses unmatched too many etc ER Insufficient Memory Insufficient memory to complete the operation ER No Solution Found No solution found Table 14 1 Error Messages Error Message Status ...

Страница 99: ...entitlements In addition you may also have other legal rights under applicable local law or special written agreement with HP Limited Hardware Warranty Period Duration 12 months total may vary by region please visit www hp com support for latest information General Terms HP warrants to you the end user customer that HP hardware accessories and supplies will be free from defects in materials and wo...

Страница 100: ... ITS SUPPLIERS BE LIABLE FOR LOSS OF DATA OR FOR DIRECT SPECIAL INCIDENTAL CONSEQUENTIAL INCLUDING LOST PROFIT OR DATA OR OTHER DAMAGE WHETHER BASED IN CONTRACT TORT OR OTHERWISE Some countries States or provinces do not allow the exclusion or limitation of incidental or consequential damages so the above limitation or exclusion may not apply to you The only warranties for HP products and services...

Страница 101: ...ited States Only This device complies with Part 15 of the FCC Rules Operation is subject to the following two conditions 1 This device may not cause harmful interference 2 This device must accept any interference received including interference that may cause undesired operation If you have questions about the product that are not related to this declaration write to Hewlett Packard Company P O Bo...

Страница 102: ... of conformity for this device may be found at http www hp com go certificates Japanese Notice Korean Notice Disposal of Waste Equipment by Users in Private Household in the European Union This symbol on the product or on its packaging indicates that this product must not be disposed of with your other household waste Instead it is your responsibility to dispose of your waste equipment by handing ...

Страница 103: ...ate the call center nearest you from the list below Have your proof of purchase and calculator serial number ready when you call Telephone numbers are subject to change and local and national telephone rates may apply A complete list is available on the web at www hp com support Contact Information Table 15 1 Contact Information Country Region Contact Algeria www hp com support Anguila 1 800 71 1 ...

Страница 104: ... 800 71 1 2884 Pacifitel Estonia www hp com support Finland Suomi 09 8171 0281 France 01 4993 9006 French Antilles 0 800 990 01 1 800 71 1 2884 French Guiana 0 800 990 01 1 800 71 1 2884 Germany Deutschland 069 9530 7103 Ghana www hp com support Greece Ελλάδα 210 969 6421 Grenada 1 800 71 1 2884 Guadelupe 0 800 990 01 1 800 71 1 2884 Guatemala 1 800 999 5105 Guyana 159 800 71 1 2884 Haiti 183 800 ...

Страница 105: ... com support Montserrat 1 800 71 1 2884 Morocco www hp com support Namibia www hp com support Netherlands 020 654 5301 Netherland Antilles 001 800 872 2881 800 71 1 2884 New Zealand 0800 551 664 Nicaragua 1 800 0164 800 71 1 2884 Norway Norwegen 23500027 Panama Panamá 001 800 71 1 2884 Paraguay 009 800 541 0006 Peru Perú 0 800 101 1 1 Philippines 2 867 3351 Poland Polska www hp com support Portuga...

Страница 106: ...Sverige 08 5199 2065 Switzerland 022 827 8780 Switzerland Suisse Français 022 827 8780 Switzerland Schweiz Deutsch 01 439 5358 Switzerland Svizzeera Italiano 022 567 5308 Taiwan 臺灣 00801 86 1047 Thailand ไทย 2 353 9000 Trinidad Tobago 1 800 71 1 2884 Tunisia www hp com support Turkey Türkiye www hp com support Turks Caicos 01 800 71 1 2884 UAE www hp com support United Kingdom 0207 458 0161 Urugua...

Страница 107: ...Warranty Regulatory and Contact Information 99 Vietnam Viêt Nam 65 6272 5300 Zambia www hp com support Table 15 1 Contact Information Country Region Contact ...

Страница 108: ...Warranty Regulatory and Contact Information 100 ...

Страница 109: ...nu items to defaults 56 risk free interest rate 53 signature return 53 Stock price 53 strike price 53 time to maturity 53 Bond accrued interest 48 Bond menu 48 calendars 48 call 48 coupon rate 48 example 49 maturity date 48 price 48 resetting menu to defaults 50 settlement date 48 yield 48 Bond annual semiannual 48 Bond type Annual Semiannual 4 Break even Break even menu 59 example 59 resetting me...

Страница 110: ...faults 58 setting format for 3 debugging 85 Decimal comma or point setting preferences 3 Default settings see Mode menu 2 Depreciation cost 67 Declining balance 66 Declining balance crossover 66 Depreciation menu 66 example 67 factor 67 French amortization 66 French Straight line 66 life 67 methods 66 remaining book value 67 remaining depreciable value 67 resetting items to defaults 68 salvage 67 ...

Страница 111: ...e 19 equals 6 factorial 19 input key 6 insert and delete 38 LN natural log 19 natural exponent 19 On CE 7 parentheses 12 presses 4 random function 19 recall 24 reciprocal 19 round 19 scientific notation 11 secondary functions 4 shift key 4 sine 19 square 19 square root 19 store 24 tangent 19 up and down scroll keys 2 key instructions 76 key presses 75 Keyboard map and legend v L Language selecting...

Страница 112: ...Net Future Value 41 Net Present Value 41 Net US 41 Number entry 11 last number function 14 rounding 25 storing and recalling 24 Number format setting preferences 2 O on HP 30b 75 P Parentheses prioritizing operations 12 Payback 41 Percent Calculation compounding periods 63 examples 62 markup and margin 61 Percent Calculation menu 61 percentage of total 61 resetting menu items to defaults 64 sub me...

Страница 113: ...15 roll down 17 stack 13 swap 18 S Safe interest rate 41 saving storing modifying 86 Scientific notation 11 Statistics a slope for linear model 71 b y intercept for linear model 71 covariance 71 data entry sub menus 70 example 72 maximum and minimum 71 median 71 number of items 70 one variable 70 population standard deviation for X and Y 71 predictions for X and Y 71 quartile 71 resetting items to...

Страница 114: ...ode 28 example 28 future value 28 keys 28 nominal interest rate 28 number of payments 28 number of payments per year 28 periodic payment value 28 present value 28 setting for TVM Standard or TVM Canada 4 storing and recalling with TVM keys 24 storing values in TVM variables 28 TVM Canada Canadian mortgages 35 ...

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