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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...
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Error Messages ... 94 Accuracy Information ... 95 AOS™ (Algebraic Operating System) Calculations ... 96 Battery Information... 97 In Case of Difficulty ... 98 Texas Instruments Support and Service ... 99 Texas Instruments (TI) Warranty Information ... 100 Index ... 103...
Overview of Calculator Operations This chapter describes the basic operation of your BA II PLUS™ calculator, including how to: • Turn on and turn off the calculator • Select second functions • Read the display and set calculator formats •...
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.
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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.
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 "...
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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...
(See “Clearing Calculator Entries and 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. (See “In Case of...
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...
These operations do not require you to press N to complete. Square 6.3 Find square root: 15.5 Find reciprocal: 1/3.2 Find factorial: 5! Find natural logarithm: ln 203.45 ) calculation method, the calculator Press < 1.25 1.25 < 9 <...
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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...
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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.
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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.
• 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).
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 &...
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.
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)
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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...
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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.
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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.
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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 ...
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.
(See “Types of Worksheet 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.
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( 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 •...
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• 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.
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 &...
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).
$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.
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...
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...
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.
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 ÷ •...
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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.
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.
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.
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.
$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.
(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.
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.
• 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.
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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: •...
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. (See Worksheets” on page 21.) • To access the Cash Flow worksheet and initial cash flow value ( •...
) and then & z. • To reset • 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 24 additional cash flows ( unique value.
Repeat steps 4 through 7 for all remaining cash flows and frequencies. To review entries, press # or ". Deleting Cash Flows When you delete a cash flow, the calculator decreases the number of subsequent cash flows automatically. Cash Flow Worksheet C01-C24 and press !.
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 24. Note: The indicator confirms that you can insert a cash flow.
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To compute the net present value for the series of cash flows entered, press %. Computing IRR Press ). The the current cash-flow values). To compute the internal rate of return, press %. The calculator displays the value. When solving for , the calculator performs a series of complex, iterative calculations that can take seconds or even minutes to complete.
• When solving complex cash-flow problems, the calculator might not find , even if a solution exists. In this case, the calculator displays (iteration limit exceeded). Error 7 Example: Solving for Unequal Cash Flows...
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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.
Computing NPV Use an interest rate per period ( Access interest rate variable Enter interest rate per period. Compute net present value. Answers: is $7,266.44. Computing IRR Access Compute internal rate of return. is 52.71%. Answer: IRR Example: Value of a Lease with Uneven Payments A lease with an uneven payment schedule usually accommodates seasonal or other anticipated fluctuations in the lessee’s cash position.
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• 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. Computing NPV The cash flows for the first four months are stated as a group of four $0 cash flows.
Bond Worksheet The Bond worksheet lets you compute bond price, yield to maturity or call, and accrued interest. 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. •...
• z while in the Bond worksheet. Variable • To reset all calculator variables and formats to default values, including the Bond worksheet variables, press & } !. Entering Dates • Use the following convention to key in dates: mm.ddyy or dd.mmyy.
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• The calculator assumes that the redemption date ( with a coupon date: – To compute to maturity, enter the maturity date for – To compute to call, enter the call date for Entering CPN represents the annual coupon rate as a percentage of the bond par value rather than the dollar amount of the coupon payment.
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.
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!. , 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.
Example: Computing Bond Price and Accrued Interest 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.
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 ". •...
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& z while in the 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 on page 4.) •...
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 •...
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, or , you must either key in a value or and press !. , you must set either the European date or “Setting Calculator Formats , and , and ” on , and , press # for each...
Example: Computing Straight-Line Depreciation In mid-March, a company begins depreciation of a commercial building with a 31½ year life and no salvage value. The building cost $1,000,000. Use the straight-line depreciation method to compute the depreciation expense, remaining book value, and remaining depreciable value for the first two years.
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 ". •...
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Sum of XY products nn represents the number of the current X or Y value. ** Not displayed for one-variable statistics. *** This guidebook categorizes calculator variables by their method of entry. (See “Types of Worksheet Resetting Statistics Worksheet Variables •...
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 .
• 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.
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.
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 (& {) •...
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& 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...
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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.
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. (See “Types of Worksheet Variables” on page 17.) Press Display #PD= "...
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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 •...
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...
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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 & } !.
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.
Variable Selling price Profit margin # Note: This guidebook categorizes calculator variables by their method of entry. (See “Types of Worksheet Gross Profit Margin and Markup The terms margin and markup often are used interchangeably, but each has a distinct meaning.
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 "...
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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.
Memory 6 Memory 7 Memory 8 Memory 9 Note: This guidebook categorizes calculator variables by their method of entry. (See “Types of Worksheet Clearing the Memory Worksheet Variables To clear all 10 memories at once, press & z in the Memory worksheet.
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To view the contents of the memories, press # or " once for • each memory. • To store a value, select a memory ( press !. • Memory arithmetic. (See Examples: Using the Memory Worksheet Access Memory worksheet Select Clear Store 95.
• Algebraic operating system (AOS™) • Battery information • In case of difficulty • TI product service and warranty information Formulas This section lists formulas used internally by the calculator. Time Value of Money × ] 1 – ƒÄ0 where: =(.01 Q...
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× ⁄ × 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...
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× PMT G ----------------------- - – ƒ where: = L( where: Amortization If computing pmt2 (0) = Iterate from = 1 to pmt2 RND RND12 – i bal m 1 ⎧ ⎨ ⎩ bal m bal m 1 – then: bal( ) bal(pmt2) ( ) =...
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Net present value depends on the values of the initial cash flow ( CF 0 subsequent cash flows ( CF j ), frequency of each cash flow ( ), and the specified interest rate ( = 100 × , where i satisfies () = 0 Internal rate of return depends on the values of the initial cash flow ) and the subsequent cash flows (...
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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;...
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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;...
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Straight-line depreciation CST SAL – -------------------------- - CST SAL – -------------------------- - First year: Last year or more: Appendix — Reference Information × FSTYR...
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Sum-of-the-years’-digits depreciation FSTYR ) 2 YR – – ----------------------------------------------------------------------------------------------------- - × × CST SAL ----------------------------------------------------------- - First year: × Last year or more: Declining-balance depreciation × RBV DB% ------------------------------ - × is for YR - 1 where: × CST DB% ------------------------------ - First year: ×...
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Standard deviation with 1 2 ⁄ ∑ ⎛ ⎞ ⎝ ⎠ ∑ ------------------- - – ---------------------------------------- - – ∑ -------------- - Mean: Regressions Formulas apply to all regression models using transformed data. ∑ ∑ xy ) – -------------------------------------------------------- - ∑ ∑...
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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.
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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.
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.
• the evaluation of Accuracy Information The calculator stores results internally as 13-digit numbers but displays them rounded to 10 digits or fewer, depending on the decimal format. The internal digits, or guard digits, increase the calculator’s accuracy. Additional calculations use the internal value, not the value displayed.
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.
Note: The calculator cannot retain data when the battery is removed or discharged. Replacing the battery has the same effect as resetting the calculator. Turn off the calculator and turn it over with the back facing you. Using a small Phillips screwdriver, remove the four screws from the back cover.
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.
Texas Instruments Support and Service For general information Home Page: education.ti.com Knowledge Base and e-mail inquiries: education.ti.com/support Phone: (800) TI-CARES / (800) 842-2737 For U.S., Canada, Mexico, Puerto Rico, and Virgin Islands only International education.ti.com/support Information: (Click the For technical support Knowledge Base...
Warranty Performance. During the above one (1) year warranty period, your defective product will be either repaired or replaced with a recondi- tioned model of an equivalent quality (at TI's option) when the product is returned, postage prepaid, to Texas Instruments Service Facility. The warranty of the repaired or replacement unit will continue for the war- ranty of the original unit or six (6) months, whichever is longer.
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Warranty Performance. During the above one (1) year warranty period, your defective product will be either repaired or replaced with a new or reconditioned model of an equivalent quality (at TI's option) when the product is returned to the original point of purchase. The repaired or replacement unit will continue for the warranty of the original unit or six (6) months, whichever is longer.
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bond yield (more than one coupon period to redemption) 88 bond yield (one coupon period or less to redemption) 87 bonds 87 breakeven 92 cash flow 85 days between dates 92 depreciation 88 depreciation, declining-balance depreciation, straight-line 89 depreciation, sum-of-the-years’- digits 90 interest-rate conversions 91 internal rate of return 86...
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OLD (old value) 70 Old value (OLD) 70 One coupon per year (1/Y) 52 One-variable statistics (1-V) 63 Outflows 21 Overview of calculator operation 1 P (unit price) 78 P/Y (payments per year) 22 P1 (starting payment) 22 P2 (ending payment) 22...
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Sy (sample standard deviation of Y) SYD (sum of the years’ digits) 57 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) 52 Two-variable statistics 65...
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