Texas Instruments Calculator User Manual
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Texas Instruments Calculator User Manual

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BA II PLUS™
PROFESSIONAL
Calculator

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Summary of Contents for Texas Instruments Calculator

  • Page 1 BA II PLUS™ PROFESSIONAL Calculator...

  • Page 2: Important Information

    “as-is” basis. In no event shall Texas Instruments be liable to anyone for special, collateral, incidental, or consequential damages in connection with or...

  • Page 3: Table Of Contents

    Selecting 2nd Functions ... 2 Reading the Display ... 2 Setting Calculator Formats ... 4 Resetting the Calculator ... 6 Clearing Calculator Entries and Memories ... 6 Correcting Entry Errors... 7 Math Operations ... 8 Memory Operations ... 12 Calculations Using Constants... 13 Last Answer Feature...
  • Page 4 Error Messages ... 96 Accuracy Information ... 98 AOS™ (Algebraic Operating System) Calculations ... 98 Battery Information... 99 In Case of Difficulty ... 100 Texas Instruments Support and Service ... 101 Texas Instruments (TI) Warranty Information ... 102 Index... 105 Table of Contents...

  • Page 5: Overview Of Calculator Operations

    • Use worksheets Turning On the Calculator Press $. If you turned off the calculator by pressing $, the • calculator returns to the standard-calculator mode with a displayed value of zero. All worksheets and formats for numbers, angle units, dates, separators, and calculation method retain previous values and configurations.

  • Page 6: Selecting 2Nd Functions

    To prolong battery life, the Automatic Power Down (APD) feature turns off the calculator automatically after about five minutes of inactivity. The next time you press $, the calculator turns on exactly as you left it, saving display settings and stored memory and any pending operations or error conditions.
  • Page 7 The indicators along the top of the display tell you which keys are active and offer information about the status of the calculator. Indicator Meaning Press a key to select its second function. Press a key to select its inverse trigonometric function.

  • Page 8: Setting Calculator Formats

    To change the number of decimal places displayed, key in a value and press !. To access another calculator format, press # or " once for each format. For example, to access the angle unit format, press #. To access the number-separator format, press "...
  • Page 9 Using Dates The calculator uses dates with the Bond and Date worksheets and the French depreciation methods. To enter dates, use this convention: mm.ddyy (US) or dd.mmyy (European). After you key in the date, press...

  • Page 10: Resetting The Calculator

    (See “Clearing Calculator Entries and Memories” on page 6.)For example, you might reset the calculator before using it for the first time, when starting a new calculation, or when having difficulty operating the calculator and other possible solutions do not work.

  • Page 11: Correcting Entry Errors

    To clear The prompted worksheet and reset default values Calculator format settings and reset default values • Out of the prompted worksheet and return to standard-calculator mode • All pending operations in standard-calculator mode • In a prompted worksheet, the variable value...

  • Page 12: Math Operations

    These operations do not require you to press N to complete. Square 6.3 15.5 Find square root: Find reciprocal: 1/3.2 Find factorial: 5! Find natural logarithm: ln 203.45 ) calculation method, the calculator Press < 1.25 1.25 < 9 <...
  • Page 13 Note: Because the reciprocal of an even number (such as, 1/2, 1/4, 1/6) is a complex number, you can only raise a negative number to an integer power or the reciprocal of an odd number. Overview of Calculator Operations Press .69315 .69315...
  • Page 14 Parentheses Use parentheses to control the order in which the calculator evaluates a numeric expression in division, multiplication, powers, roots, and logarithm calculations. The calculator includes up to 15 levels of parentheses and up to 8 pending operations. Note: You do not have to press : for expressions ending in a series of closed parentheses.
  • Page 15 For example, working in the Bond worksheet, you might want to round a computed selling price to the nearest penny (two decimal places) before continuing your calculation. The calculator stores values to an accuracy of up to 13 digits. The Note: decimal format setting rounds the displayed value but not the unrounded, internally stored value.

  • Page 16: Memory Operations

    • To clear an individual memory, store a zero value in it. To clear all 10 calculator memories, press & { & z. • Storing to Memory To store a displayed value to memory, press D and a numeric key (0–9).

  • Page 17: Calculations Using Constants

    Enter the operation and a constant value. Store the operation and value, and then calculate. Calculate 7 Compute 45 Overview of Calculator Operations ) by the displayed value. ) by the displayed value. ) to the power of the Press &...

  • Page 18: Last Answer Feature

    From the standard-calculator mode to a worksheet To display the last answer computed, press & x. Note: The calculator changes the value of the last answer whenever it calculates a value automatically or whenever you: Press ! to enter a value.

  • Page 19: Using Worksheets: Tools For Financial Solutions

    Each worksheet is independent of the others: operations in a worksheet do not affect variables in other worksheets. When you exit a worksheet or turn off the calculator, the calculator retains all worksheet data. To select TVM worksheet (Chapter 2)
  • Page 20 Variables” on page 22.) Note: You can assign values to TVM variables while in a prompted worksheet, but you must return to the standard-calculator mode to calculate TVM values or clear the TVM worksheet. Function Analyzes statistics on one- or...
  • Page 21 Recalled from memory. • Obtained from another worksheet using the last answer feature. When you access an enter-only variable, the calculator displays the variable label and ENTER press ! after keying in a value to assign the value to the variable.
  • Page 22 You can either enter or compute values for the TVM worksheet variables , and Note: Although you do not have to be in the standard-calculator mode to assign values to these variables, you must be in the standard-calculator mode to compute their values.
  • Page 23 Display Indicators The  indicator confirms that the calculator entered the displayed • value in the worksheet. • The  indicator confirms that the calculator computed the displayed value. • When a change to the worksheet invalidates either entered or computed values, the ...
  • Page 24 Overview of Calculator Operations...

  • Page 25: Time-Value-Of-Money And Amortization Worksheets

    Time-Value-of-Money and Amortization Worksheets Use the Time-Value-of-Money (TVM) variables to solve problems with equal and regular cash flows that are either all inflows or all outflows (for example, annuities, loans, mortgages, leases, and savings). For cash-flow problems with unequal cash flows, use the Cash Flow worksheet.

  • Page 26: Tvm And Amortization Worksheet Variables

    (See “Types of Worksheet Variables” on page 17.) Using the TVM and Amortization Variables Because the calculator stores values assigned to the TVM variables until you clear or change them, you should not have to perform all steps each time you work a problem.
  • Page 27 ( or # to compute values for each variable ( Resetting the TVM and Amortization Worksheet Variables • To reset all calculator variables and formats to default values (including TVM and amortization variables), press & } !: Variable Default •...
  • Page 28 • You can enter or recall a value for any of the five TVM variables ( , or ) in either the standard calculator mode or a worksheet mode. The information displayed depends on which mode is selected. • In standard calculator mode, the calculator displays the variable label, the = sign, and the value entered or recalled.

  • Page 29: Entering Cash Inflows And Outflows

    Note: You can tell that the displayed value is not assigned to the displayed variable, because the = indicator is not displayed. To compute a TVM value, press % and a TVM key in standard-calculator mode. Using [xP/Y] to Calculate a Value for N Key in the number of years, and then press &...

  • Page 30: Example: Computing Basic Loan Interest

    Press %. Both next range of payments. The calculator computes the next range of payments using the same number of periods used with the previous range of payments. For example, if the previous range was 1 through 12 (12 payments), pressing % updates the range to 13 through 24 (12 payments).

  • Page 31: Examples: Computing Basic Loan Payments

    $75,000 mortgage at 5.5% for 30 years. Note: After you complete the first example, you should not have to re- enter the values for loan amount and interest rate. The calculator saves the values you enter for later use. Computing Monthly Payments Set payments per year to 12.

  • Page 32: Examples: Computing Value In Savings

    Compute payment. Answer: The quarterly payments are $1,279.82. Examples: Computing Value in Savings These examples show you how to compute the future and present values of a savings account paying 0.5% compounded at the end of each year with a 20-year time frame. Computing Future Value Example: If you open the account with $5,000, how much will you have...

  • Page 33: Example: Computing Present Value In Annuities

    Example: Computing Present Value in Annuities The Furros Company purchased equipment providing an annual savings of $20,000 over 10 years. Assuming an annual discount rate of 10%, what is the present value of the savings using an ordinary annuity and an annuity due? Cost Savings for a Present-Value Ordinary Annuity Cost Savings for a Present-Value Annuity Due in a Leasing...

  • Page 34: Example: Computing Perpetual Annuities

    Compute present value (ordinary annuity). Set beginning-of-period payments. Return to calculator mode. Compute present value (annuity due). The present value of the savings is $122,891.34 with an ordinary Answer: annuity and $135,180.48 with an annuity due. Example: Computing Perpetual Annuities To replace bricks in their highway system, the Land of Oz has issued perpetual bonds paying $110 per $1000 bond.

  • Page 35: Example: Computing Present Value Of Variable Cash Flows

    Perpetual annuity due Because the term (1 + I/Y / 100) approaches zero as N increases, you can use these equations to solve for the present value of a perpetual annuity: • Perpetual ordinary annuity --------------------------- - ) 100 ÷ •...
  • Page 36 Given a 10% discount rate, does the present value of the cash flows exceed the original cost of $23,000? Set all variables to defaults. Enter interest rate per cash flow period. Enter 1st cash flow. Enter 1st cash flow period. Compute present value of 1st cash flow.

  • Page 37: Example: Computing Present Value Of A Lease With Residual Value

    Compute present value of 4th cash flow. Sum to memory. Recall total present value. Subtract original cost. The present value of the cash flows is $23,171.23, which exceeds Answer: the machine’s cost by $171.23. This is a profitable investment. Note: Although variable cash flow payments are not equal (unlike annuity payments), you can solve for the present value by treating the cash flows as a series of compound interest payments.

  • Page 38: Example: Computing Other Monthly Payments

    The total value of the machine is the present value of the residual value plus the present value of the lease payments. Set all variables to defaults. Set beginning-of-period payments. Return to standard-calculator mode. Enter number of payments. Calculate and enter periodic interest rate.

  • Page 39: Example: Saving With Monthly Deposits

    Return to standard-calculator mode Enter number of payments using payment multiplier. Enter interest rate. Enter loan amount. Compute payment. Your monthly payment is $26.72. Answer: Example: Saving With Monthly Deposits Note: Accounts with payments made at the beginning of the period are referred to as annuity due accounts.

  • Page 40: Example: Computing Amount To Borrow And Down Payment

    $325, how much can you borrow? How much do you need for a down payment? Set all variables to defaults. Set payments per year to 12. Return to standard-calculator mode Enter number of payments using payment multiplier.

  • Page 41: Example: Computing Regular Deposits For A Specified Future Amount

    (payments per year), you must change the Set all variables to defaults. Set payments per year to 12. Set compounding periods to 4. Set beginning-of-period payments. Return to standard-calculator mode. Enter number of deposits using payment multiplier. Enter interest rate. Enter future value.

  • Page 42: Example: Computing Payments And Generating An Amortization Schedule

    Computing Mortgage Payments Calculate the monthly payment with a loan amount of $120,000 and 6.125% APR. Set all variables to defaults. Set payments per year to 12. Return to standard-calculator mode. Enter number of payments using payment multiplier. Enter interest rate.

  • Page 43: Example: Computing Payment, Interest, And Loan Balance After A Specified Payment

    • Remaining balance at the end of the term (balloon payment) Computing the Monthly Payment Set all variables to defaults. Set payments per year to 12. Return to standard-calculator mode. Enter number of payments using payment multiplier. Enter interest rate.
  • Page 44 Generating an Amortization Schedule for Interest and Balloon Payment Select Amortization worksheet. & \ Enter end period (five years). View balance due after five years (balloon payment). View interest paid after five years. If the sellers financed the sale, they would receive: •...

  • Page 45: Cash Flow Worksheet

    Cash Flow Worksheet Use the Cash Flow worksheet to solve problems with unequal cash flows. To solve problems with equal cash flows, use the TVM worksheet. • To access the Cash Flow worksheet and initial cash flow value ( • To access the cash flow amount and frequency variables ( •...
  • Page 46 To reset , and press ) and then & z. • To reset all calculator variables and formats to default values, including all Cash Flow worksheet variables, press & } !. Entering Cash Flows • You must enter an initial cash flow ( to 32 additional cash flows ( unique value.

  • Page 47: Uneven And Grouped Cash Flows

    (up to 9,999), or frequency ( additional cash flow ( • The calculator displays positive values for inflows (cash received) and negative values for outflows (cash paid out). • To clear the Cash Flow worksheet, press & z.

  • Page 48: Deleting Cash Flows

    Press & W. The cash flow you specified and its frequency is deleted. Inserting Cash Flows When you insert a cash flow, the calculator increases the number of the following cash flows, up to the maximum of 32. Note: The indicator confirms that you can insert a cash flow.

  • Page 49: Computing Cash Flows

    Key in the new cash flow and press !. The new cash flow is entered at Computing Cash Flows The calculator solves for these cash-flow values: • Net present value ( including inflows (cash received) and outflows (cash paid out). A positive value indicates a profitable investment.
  • Page 50 Computing IRR and MOD Press ). The the current cash-flow values). To compute the internal rate of return, press %. The calculator displays the value. To select the reinvestment rate ( Key in the reinvestment rate value and press !.

  • Page 51: Example: Solving For Unequal Cash Flows

    The time line reflects a sequence of cash flows with three sign changes, indicating that one, two, or three • When solving complex cash-flow problems, the calculator might not find calculator displays Example: Solving for Unequal Cash Flows These examples show you how to enter and edit unequal cash-flow data to calculate: •...
  • Page 52 Entering Cash-Flow Data Select Cash Flow worksheet. Enter initial cash flow. Enter cash flow for first year. Enter cash flows for years two through five. Enter cash flow for sixth year. # Editing Cash-Flow Data After entering the cash-flow data, you learn that the $4,000 cash-flow value should occur in the second year instead of the sixth.

  • Page 53: Example: Value Of A Lease With Uneven Payments

    Computing NPV, NFV, PB, and DPB Use an interest rate per period ( Access interest rate variable Enter interest rate per period. Compute net present value. Compute net future value. Compute payback. Compute discounted payback. # % Answers: is $7,266.44. Computing IRR and MOD Access Compute internal rate of return.
  • Page 54 Number of Months If the required earnings rate is 10% per 12-month period with monthly compounding: • What is the present value of these lease payments? • What even payment amount at the beginning of each month would result in the same present value? Because the cash flows are uneven, use the Cash Flow worksheet to determine the net present value of the lease.
  • Page 55 Enter third group of cash flows. Enter fourth group of cash flows. Enter fifth group of cash flows. # Enter sixth group of cash flows. # Select Enter monthly earnings rate. Compute Cash Flow Worksheet Press C03= F03= C04= 6000 F04= C05= F05=...
  • Page 56 Cash Flow Worksheet...

  • Page 57: Bond Worksheet

    Bond Worksheet The Bond worksheet lets you compute bond price, yield to maturity or call, accrued interest, and modified duration. You can also use the date functions to price bonds purchased on dates other than the coupon anniversary. To access the Bond worksheet, press & l. •...

  • Page 58: Bond Worksheet Variables

    To reset the Bond worksheet variables to default values, press & • z while in the Bond worksheet. Variable • To reset all calculator variables and formats to default values, including the Bond worksheet variables, press & } !. & l & V & V...
  • Page 59 “Setting Calculator Formats ” on page 4.) • You can enter dates from January 1, 1950 through December 31, 2049. • The calculator assumes that the redemption date ( with a coupon date: – To compute to maturity, enter the maturity date for –...

  • Page 60: Bond Worksheet Terminology

    If the bond is redeemed at a call date, the redemption value is the bond’s par value plus any call premium. The calculator treats the redemption value in terms of dollars per $100 of par value.
  • Page 61 !. , pressing # once for each , and appears. and press !. , and then press %. The calculator displays the appears. and press !. , and then press %. The calculator displays value. in terms of dollars per $100 of par ) and coupon- appears.

  • Page 62: Example: Computing Bond Price, Accrued Interest, And Modified Duration

    Computing Modified Duration (DUR) To compute modified duration, press # until the The calculator automatically computes Example: Computing Bond Price, Accrued Interest, and Modified Duration You consider buying a semiannual corporate bond maturing on December 31, 2007 and settling on June 12, 2006. The bond is based on the 30/360 day-count method with a coupon rate of 7%, redeemable at 100% of par value.

  • Page 63: Depreciation Worksheet

    Depreciation Worksheet The Depreciation worksheet lets you generate a depreciation schedule using your choice of depreciation methods. To access the Depreciation worksheet, press & p. • To change depreciation methods, press & V until • the desired method appears. To access other depreciation variables, press # or ". •...
  • Page 64 Depreciation worksheet. Computing Values for DEP, RBV, and RDV • The calculator computes one year at a time and rounds the results to the number of decimal places set. (See “Setting Calculator Formats ” on page 4.) •...

  • Page 65: Entering Data And Computing Results

    Entering Values for DB and DBX If you choose either the declining balance ( crossover to ) depreciation method, remember to enter a value representing the percent of declining balance for the variable. Note: The declining balance you enter must be a positive number. Entering Values for LIF •...

  • Page 66: Example: Computing Straight-Line Depreciation

    Selecting a Depreciation Method To access the Depreciation worksheet, press & p. The current depreciation method is displayed. To clear the worksheet, press & z. Press & V until you display the depreciation method you want Note: If you select accept the default of 200.
  • Page 67 Enter life in years. Enter starting month. Enter cost. Leave salvage value as is. Leave year as is. Display depreciation amount, remaining book value, and remaining depreciable value. View second year. Display second year depreciation data. Answer: For the first year, the depreciation amount is $25,132.28, the remaining book value is $974,867.72, and the remaining depreciable value is $974,867.72.
  • Page 68 Depreciation Worksheet...

  • Page 69: Statistics Worksheet

    Statistics Worksheet The Statistics worksheet performs analysis on one-and two-variable data with four regression analysis models. To enter statistical data, press & j. • • To choose a statistics calculation method and compute the results, press & k. To access statistics variables, press # or ". •...
  • Page 70 X or Y value. ** Not displayed for one-variable statistics. *** This guidebook categorizes calculator variables by their method of entry. (See “Types of Worksheet Variables” on page 17.) Resetting Statistics Worksheet Variables •...

  • Page 71: Regression Models

    For two-variable data, the Statistics worksheet uses four regression models for curve fitting and forecasting. Model The calculator interprets the value as the dependent variable. The calculator computes the statistical results using these transformed values: • uses X and Y. Statistics Worksheet nn, the value for .

  • Page 72: Entering Statistical Data

    • uses X and ln(Y). • uses ln(X) and ln(Y). The calculator determines the values for curve that best fits the data. Correlation Coefficient The calculator also determines measures the goodness of fit of the equation with the data. Generally: is to 1 or -1, the better the fit.

  • Page 73: Computing Statistical Results

    To compute results based on the current data set, press # repeatedly after you have selected the statistics calculation method. The calculator computes and displays the results of the statistical calculations (except for X' and Y') automatically when you access them.
  • Page 74 Statistics Worksheet...

  • Page 75: Other Worksheets

    Other Worksheets The calculator also includes these worksheets: • Percent Change/Compound Interest worksheet (& q) Interest Conversion worksheet (& v) • Date worksheet (& u) • Profit Margin worksheet (& w) • Breakeven worksheet (& r) • Memory worksheet (& {) •...
  • Page 76 & z while in the Percent Change/Compound Interest worksheet. Variable Default • To reset default values for all calculator variables and formats, press & } !. Entering Values • For percent-change calculations, enter values for any two of the...
  • Page 77 Cost-Sell-Markup — Enter values for two of these three variables: To compute a value for the unknown variable, press # or " until the variable you want is displayed and press %. The calculator displays the value. Example: Computing Percent Change First, determine the percentage change from a forecast amount of $658 to an actual amount of $700.

  • Page 78: Interest Conversion Worksheet

    • To select interest conversion variables, press # or ". • Variable Nominal rate Annual effective rate Compounding periods per year # Note: The calculator categorizes variables by their method of entry. Press Display #PD= " % %CH= Press Display &...
  • Page 79 The annual effective interest rate ( interest rate that you actually earn for the period of time stated. Resetting Variables • To reset all calculator variables and formats to default values, including the Interest Conversion worksheet variables, press & } !. Variable •...

  • Page 80: Date Worksheet

    To compute a value for the unknown variable (interest rate), press # or " until calculator displays the computed value. Example: A bank offers a certificate that pays a nominal interest rate of 15% with quarterly compounding. What is the annual effective interest...
  • Page 81 Note: The calculator categorizes variables by their method of entry. (See “Types of Worksheet Variables” on page 17.) Resetting the Date Worksheet Variables • To reset default values for all calculator variables and formats, including the Date worksheet variables, press & } !.

  • Page 82: Profit Margin Worksheet

    To change the day-count method setting, press # until displayed. To compute a value for the unknown variable, press # or " to display the variable, and then press %. The calculator displays the computed value. Example: Computing Days between Dates A loan made on September 4, 2003 defers the first payment until November 1, 2003.
  • Page 83 Variable Profit margin # Note: This guidebook categorizes calculator variables by their method of entry. Gross Profit Margin and Markup The terms margin and markup often are used interchangeably, but each has a distinct meaning. • Gross profit margin is the difference between selling price and cost, expressed as a percentage of the selling price.

  • Page 84: Breakeven Worksheet

    To reset default values for all Breakeven worksheet variables, press & z. All Breakeven worksheet variables default to zero. • To clear all calculator variables and formats and reset default values, including the Breakeven worksheet variables, press & } !. Press "...
  • Page 85 Repeat step 3 for each of the remaining known variables. To compute a value for the unknown variable, press # or " until the variable is displayed, and then press %. The calculator displays the computed value. Example: Computing Breakeven Quantity A canoe company sells paddles for $20 each.

  • Page 86: Memory Worksheet

    Memory 7 Memory 8 Memory 9 Note: This guidebook categorizes calculator variables by their method of entry. (See “Types of Worksheet Variables” on page 17.) Clearing the Memory Worksheet Variables To clear all 10 memories at once, press & z in the Memory worksheet.
  • Page 87 To view the contents of the memories, press # or " once for • each memory. • To store a value, select a memory ( press !. • Memory arithmetic. (See “Memory Arithmetic” on page 12.) Examples: Using the Memory Worksheet Access Memory worksheet Select Clear...
  • Page 88 Other Worksheets...

  • Page 89: A Appendix - Reference Information

    Appendix — Reference Information This appendix includes supplemental information to help you use your BA II PLUSé and BA II PLUSé PROFESSIONAL calculator: • Formulas • Error conditions • Accuracy information • IRR (internal-rate-of-return) calculations • Algebraic operating system (AOS™) •...
  • Page 90 × ⁄ × 100 C Y where: = 1 + where: =0 for end-of-period payments =1 for beginning-of-period payments × PMT G  ----------------------------------------------  × PMT G --------------------------------------------------------- - ƒ where: = L( where: – i × ---- - ƒ...
  • Page 91 × PMT G – ----------------------- - ƒ where: = L( where: Amortization pmt2 If computing (0) = Iterate from = 1 to RND RND12 – i bal m 1   – bal m bal m 1  bal( ) bal(pmt2) then: pmt2...
  • Page 92 Internal rate of return depends on the values of the initial cash flow CF 0 ) and the subsequent cash flows ( ÷ 100 The calculator uses this formula to compute the modified internal rate of return: – NPV (positive, rrate...
  • Page 93 Bonds Price (given yield) with one coupon period or less to redemption: 100 R ------------------ -------------------------------------- -  × ---------- -  where: =dollar price per $100 par value =redemption value of the security per $100 par value ( 100 except in those cases where call or put features must be considered) =annual interest rate (as a decimal;...
  • Page 94 Price (given yield) with more than one coupon period to redemption: ------------------------------------------ - –   ---- -   × ---- - – where: =number of coupons payable between settlement date and redemption date (maturity date, call date, put date, etc.). (If this number contains a fraction, raise it to the next whole number;...
  • Page 95 where Duration is calculated using one of the following formulas used to calculate Macaulay duration: • For a bond price with one coupon period or less to redemption:   ⋅ --------------------------------------------------------------- - ---- -   • For a bond price with more than one coupon period to redemption: Depreciation N accumulated depreciation Values for...
  • Page 96 Sum-of-the-years’-digits depreciation FSTYR ) – – 2 YR ----------------------------------------------------------------------------------------------------- - × × ----------------------------------------------------------- - First year: × Last year or more: Declining-balance depreciation × RBV DB% ------------------------------ - × is for YR - 1 where: × CST DB% ------------------------------ - First year: ×...
  • Page 97 Standard deviation with 1 2 ⁄ ∑     ∑ – ------------------- - ---------------------------------------- - – ∑ -------------- - Mean: Regressions Formulas apply to all regression models using transformed data. ∑ ∑ xy ) – -------------------------------------------------------- - ∑ –...
  • Page 98 where: =old value =new value =percent change =number of periods Profit Margin Gross Profit Margin Breakeven VC Q where: =profit =price =fixed cost =variable cost =quantity Days between Dates With the Date worksheet, you can enter or compute a date within the range January 1, 1950, through December 31, 2049.
  • Page 99 where: =month of first date 1 =day of first date 1 =year of first date 2 =month of second date 2 =day of second date 2 =year of second date =base month (January) =base day (1) =base year (first year after leap year) 30/360 day-count method Note: The method assumes 30 days per month and 360 days per year.

  • Page 100: Error Messages

    Error Messages Note: To clear an error message, press P. Error Possible Causes Error 1 • A result is outside the calculator range Overflow (± 9.9999999999999E99). • Tried to divide by zero (can occur internally). • Tried to compute 1/x when x is zero.
  • Page 101 • TVM, Cash Flow, and Bond worksheets: the (logarithm) input is not > 0 during calculations. • Cash Flow worksheet: the calculator computed without at least one sign change in the cash-flow list. Error 6 • Bond and Date worksheets: a date is invalid (for...

  • Page 102: Accuracy Information

    If a calculation produces a result with 11-digits or more, the calculator uses the internal guard digits to determine how to display the result. If the eleventh digit of the result is 5 or greater, the calculator rounds the result to the next larger value for display.

  • Page 103: Battery Information

    Replacing the battery has the same effect as resetting the calculator. Turn off the calculator and turn it over with the back facing you. Slide the battery cover up and remove it from the back case. Remove the battery.

  • Page 104: In Case Of Difficulty

    Discard used batteries according to local regulations. In Case of Difficulty Use this list of possible solutions to difficulties you might encounter with the calculator to determine if you can correct a problem before having to return it for service. Difficulty The calculator computes wrong answers.

  • Page 105: Texas Instruments Support And Service

    An error occurs. If you experience difficulties other than those listed above, press & } ! to clear the calculator, and then repeat your calculations. Note: You can also perform a hard reset using the reset hole in back of the calculator.

  • Page 106: Texas Instruments (Ti) Warranty Information

    RANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE, ARE LIMITED IN DURATION TO THE ABOVE ONE-YEAR PERIOD. TEXAS INSTRUMENTS SHALL NOT BE LIABLE FOR LOSS OF USE OF THE PRODUCT OR OTHER INCIDENTAL OR CONSEQUENTIAL COSTS, EXPENSES, OR DAMAGES INCURRED BY THE CONSUMER OR ANY OTHER USER.
  • Page 107 Except as expressly provided in the One-Year Limited Warranty for this product, Texas Instruments does not promise that facil- ities for the repair of this product or parts for the repair of this product will be available.
  • Page 108 Appendix — Reference Information...

  • Page 109: Index

    Index Symbols #PD (number of periods) 72 #PD (number of periods, Percent Change/Compound Interest worksheet) 72 %CH (percent change) 72 ( - (negative) indicator 3 ( # $ indicator 3 ( 1 (value entered) indicator 3 ( G X (sum of X) 65 ( G X²...
  • Page 110 44 uneven 43 CFo (initial cash flow) 41 Chain (Chn) calculation 4 Chn (chain) calculation 4 Clearing calculations 6 calculator 6 characters 6 entry errors 6 error messages 6 errors 6 memory 6 worksheets 6 Cnn (amount of nth cash flow) 41...
  • Page 111 DPB (discounted payback) 41 DT1 (starting date) 62 DT1, DT2 (date 1 and 2) 59 DUR (modified duration) 54 EFF (annual effective rate) 75 END (end-of-period) payments 22 Ending payment (P2) 22 End-of-period (END) payments 22 ENTER indicator 3 Error clearing 96 messages 96 Examples...
  • Page 112 bond price (more than one coupon period to redemption) 90 bond price (one coupon period or less to redemption) 89 bond yield (more than one coupon period to redemption) 90 bond yield (one coupon period or less to redemption) 89 bonds 89 breakeven 94 cash flow 87...
  • Page 113 OLD (old value) 72 Old value (OLD) 72 One coupon per year (1/Y) 54 One-variable statistics (1-V) 65 Outflows 21 Overview of calculator operation 1 P (unit price) 80 P/Y (payments per year) 22 P1 (starting payment) 22 P2 (ending payment) 22...
  • Page 114 42 date variables 77 depreciation variables 60 interest conversion variables 75 percent change/compound statistics variables 66 TVM variables 23 Resetting calculator 6 – hard reset 6 pressing keys 6 RI (reinvestment rate) 41 Rounding 10 RV (redemption value) 54...
  • Page 115 Sy (sample standard deviation of Y) SYD (sum of the years’ digits) 59 Time-Value-of-Money (TVM) worksheet 15 Time-Value-of-Money and Amortization worksheets Turning calculator off 1 Turning calculator on 1 TVM (Time-Value-of-Money) worksheet 15 Two coupons per year (2/Y) 54 Two-variable statistics 67...
  • Page 116 Y-intercept (a) 65 YLD (yield to redemption) 54 Ynn (frequency of X value) 65 YR (year to compute) 59 Index...

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