HP 0012C-90001 User manual

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hp
12c financial calculator
user's guide
H
Edition 5
HP Part Number 0012C-90001

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Notice
NoticeNotice
Notice
THIS ANUAL AND ANY EXA PLES CONTAINED HEREIN ARE PROVIDED “AS
THIS ANUAL AND ANY EXA PLES CONTAINED HEREIN ARE PROVIDED “AS THIS ANUAL AND ANY EXA PLES CONTAINED HEREIN ARE PROVIDED “AS
THIS ANUAL AND ANY EXA PLES CONTAINED HEREIN ARE PROVIDED “AS
IS” AND ARE SUBJECT TO CHANGE WITHOUT NOTICE. HEWLETT
IS” AND ARE SUBJECT TO CHANGE WITHOUT NOTICE. HEWLETTIS” AND ARE SUBJECT TO CHANGE WITHOUT NOTICE. HEWLETT
IS” AND ARE SUBJECT TO CHANGE WITHOUT NOTICE. HEWLETT-
--
-PACKARD
PACKARD PACKARD
PACKARD
CO PANY AKES NO WARRA
CO PANY AKES NO WARRACO PANY AKES NO WARRA
CO PANY AKES NO WARRANTY OF ANY KIND WITH REGARD TO THIS
NTY OF ANY KIND WITH REGARD TO THIS NTY OF ANY KIND WITH REGARD TO THIS
NTY OF ANY KIND WITH REGARD TO THIS
ANUAL, INCLUDING, BUT NOT LI ITED TO, THE I PLIED WARRANTIES OF
ANUAL, INCLUDING, BUT NOT LI ITED TO, THE I PLIED WARRANTIES OF ANUAL, INCLUDING, BUT NOT LI ITED TO, THE I PLIED WARRANTIES OF
ANUAL, INCLUDING, BUT NOT LI ITED TO, THE I PLIED WARRANTIES OF
ERCHANTABILITY,
ERCHANTABILITY,ERCHANTABILITY,
ERCHANTABILITY,
NON
NONNON
NON-
--
-INFRINGE ENT AND FITNESS FOR A PARTICULAR
INFRINGE ENT AND FITNESS FOR A PARTICULAR INFRINGE ENT AND FITNESS FOR A PARTICULAR
INFRINGE ENT AND FITNESS FOR A PARTICULAR
PURPOSE.
PURPOSE.PURPOSE.
PURPOSE.
HEWLETT
HEWLETTHEWLETT
HEWLETT-
--
-PACKARD CO. SHALL NOT BE LIABLE FOR ANY ERRORS OR FOR
PACKARD CO. SHALL NOT BE LIABLE FOR ANY ERRORS OR FOR PACKARD CO. SHALL NOT BE LIABLE FOR ANY ERRORS OR FOR
PACKARD CO. SHALL NOT BE LIABLE FOR ANY ERRORS OR FOR
INCIDENTAL OR CONSEQU
INCIDENTAL OR CONSEQUINCIDENTAL OR CONSEQU
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FURNISHING, PERFOR ANCE, OR USE OF THIS ANUAL OR THE EXA PLES
CONTAINED HEREIN.
CONTAINED HEREIN.CONTAINED HEREIN.
CONTAINED HEREIN.
Copyright © 2008 Hewlett-Packard Development Company, L.P.
Reproduction, adaptation, or translation of this manual is prohibited without prior
written permission of Hewlett-Packard Company, except as allowed under the
copyright laws.
Hewlett-Packard Company
16399 West Bernardo Drive
S 8-600
San Diego, CA 92127-1899
USA
Printing History
Edition 5 April 2008

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Introduction
IntroductionIntroduction
Introduction
About This
About ThisAbout This
About This
Handbook
HandbookHandbook
Handbook
This
hp 12c user's guide
is intended to help you get the most out of your
investment in your hp 12c Programmable Financial Calculator. Although the
excitement of acquiring this powerful financial tool may prompt you to set this
handbook aside and immediately begin “pressing buttons,” in the long run you’ll
profit by reading through this handbook and working through the examples it
contains.
Following this introduction is a brief section called aking Financial Calculations
Easy—which shows you that your hp 12c does just that! The remainder of this
handbook is organized basically into three parts:
Part I (sections 1 through 7) describes how to use the various financial,
mathematics, statistics, and other functions (except for programming)
provided in the calculator:
Section 1 is about Getting Started. It tells you how to use the keyboard, how
to do simple arithmetic calculations and chain calculations, and how to
use the storage registers (“memories”).
Section 2 tells you how to use the percentage and calendar functions.
Section 3 tells you how to use the simple interest, compound interest, and
amortization functions.
Section 4 tells you how to do discounted cash flow analysis, bond, and
depreciation calculations.
Section 5 tells you about miscellaneous operating features such as
Continuous emory, the display, and special function keys.
Sections 6 and 7 tell you how to use the statistics, mathematics, and
number-alteration functions.
Part II (sections 8 through 11) describe how to use the powerful
programming capabilities of the hp 12c.
Part III (sections 12 through 16) give you step-by-step solutions to specialized
problems in real estate, lending, savings, investment analysis, and bonds.
Some of these solutions can be done manually, while others involve running
a program. Since the programmed solutions are both self-contained and
step-by-step, you can easily employ them even if you don’t care to learn how
to create your own programs. But if you
do
start to create your own
programs, look over the programs used in the solutions: they contain
examples of good programming techniques and practices.

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Introduction
IntroductionIntroduction
Introduction
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The various appendices describe additional details of calculator operation as
well as warranty and service information.
The Function Key Index and Programming Key Index at the back of the
handbook can be used as a handy page reference to the comprehensive
information inside the manual
Financial Calculations in the United Kingdom
Financial Calculations in the United KingdomFinancial Calculations in the United Kingdom
Financial Calculations in the United Kingdom
The calculations for most financial problems in the United Kingdom are identical to
the calculations for those problems in the United States — which are described in
this handbook. Certain problems, however, require different calculation methods in
the United Kingdom than in the United States. Refer to Appendix F for more
information.
For
For For
For ore Solutions to Financial Problems
ore Solutions to Financial Problemsore Solutions to Financial Problems
ore Solutions to Financial Problems
In addition to the specialized solutions found in Sections 12 through 16 of this
handbook, many more are available in the optional
hp 12c Solutions Handbook
.
Included are solutions to problems in lending, forecasting, pricing, statistics,
savings, investment analysis, personal finance, securities, Canadian mortgages,
learning curves in manufacturing, and queuing theory. A Solutions Handbook is
available online (www.hp.com/calculators).

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Contents
ContentsContents
Contents
Introduction
IntroductionIntroduction
Introduction
................................
................................................................
................................................................
................................................................
........................................
................
........
3
33
3
About This Handbook .................................................................... 3
Financial Calculations in the United Kingdom ................................... 4
For ore Solutions to Financial Problems .......................................... 4
Part I.
Part I.Part I.
Part I. Problem Solving
Problem SolvingProblem Solving
Problem Solving
................................
................................................................
.............................................
..........................
.............
15
1515
15
Section 1:
Section 1:Section 1:
Section 1: Getting Started
Getting StartedGetting Started
Getting Started
................................
................................................................
................................................
................................
................
16
1616
16
Power On and Off ....................................................................... 16
Low-Power Indication ............................................................. 16
The Keyboard ............................................................................. 16
Keying in Numbers ............................................................... 17
Digit Separators ................................................................... 17
Negative Numbers ............................................................... 17
Keying in Large Numbers ...................................................... 18
The CLEAR Keys ................................................................... 18
Simple Arithmetic Calculations ...................................................... 19
Chain Calculations ...................................................................... 20
Storage Registers .......................................................................... 23
Storing and Recalling Numbers ............................................... 23
Clearing Storage Registers ...................................................... 24
Storage Register Arithmetic ..................................................... 24
Section 2:
Section 2:Section 2:
Section 2: Percentage and Calendar Functions
Percentage and Calendar FunctionsPercentage and Calendar Functions
Percentage and Calendar Functions
....................
........................................
....................
26
2626
26
Percentage Functions..................................................................... 26
Percentages .......................................................................... 26
Net Amount .......................................................................... 27
Percent Difference .................................................................. 27
Percent of Total ...................................................................... 28
Calendar Functions ....................................................................... 29
Date Format .......................................................................... 29
Future or Past Dates................................................................30
Number of Days Between Dates ............................................. 31
Section 3:
Section 3:Section 3:
Section 3: Basic Financ
Basic FinancBasic Financ
Basic Financial Functions
ial Functionsial Functions
ial Functions
................................
................................................................
...................................
......
...
32
3232
32
The Financial Registers .................................................................. 32
Storing Numbers Into the Financial Registers ............................. 32

6 Contents
ContentsContents
Contents
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Displaying Numbers in the Financial Registers .......................... 32
Clearing the Financial Registers .............................................. 33
Simple Interest Calculations ........................................................... 33
Financial Calculations and the Cash Flow Diagram .......................... 34
The Cash Flow Sign Convention .............................................. 36
The Payment ode ............................................................... 37
Generalized Cash Flow Diagrams ........................................... 37
Compound Interest Calculations..................................................... 39
Specifying the Number of Compounding Periods and the Periodic
Interest Rate ......................................................................... 39
Calculating the Number of Payments or Compounding Periods ... 39
Calculating the Periodic and Annual Interest Rates ..................... 43
Calculating the Present Value ................................................. 44
Calculating the Payment Amount ............................................. 46
Calculating the Future Value ................................................... 48
Odd-Period Calculations ........................................................ 50
Amortization ............................................................................... 54
Section 4:
Section 4:Section 4:
Section 4: Additional Financial Functions
Additional Financial FunctionsAdditional Financial Functions
Additional Financial Functions
...........................
......................................................
...........................
57
5757
57
Discounted Cash Flow Analysis: NPV and IRR ................................. 57
Calculating Net Present Value (NPV) ....................................... 58
Calculating Internal Rate of Return (IRR) ................................... 63
Reviewing Cash Flow Entries................................................... 64
Changing Cash Flow Entries................................................... 65
Bond Calculations ....................................................................... 66
Bond Price ........................................................................... 67
Bond Yield ........................................................................... 67
Depreciation Calculations ............................................................. 68
Section 5:
Section 5:Section 5:
Section 5: Additional Operating Features
Additional Operating FeaturesAdditional Operating Features
Additional Operating Features
..........................
....................................................
..........................
70
7070
70
Continuous emory ..................................................................... 70
The Display ................................................................................. 70
Status Indicators ................................................................... 70
Number Display Formats ....................................................... 71
Scientific Notation Display Format ........................................... 72
Special Displays ................................................................... 73
The key .............................................................................. 74
The Key .............................................................................. 74
Arithmetic Calculations With Constants .................................... 75
Recovering From Errors in Digit Entry ....................................... 75

Contents
ContentsContents
Contents
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Section 6:
Section 6:Section 6:
Section 6: Statistics Functions
Statistics FunctionsStatistics Functions
Statistics Functions
................................
................................................................
............................................
........................
............
76
7676
76
Accumulating Statistics .................................................................. 76
Correcting Accumulated Statistics ...................................................77
ean .........................................................................................77
Standard Deviation ....................................................................... 79
Linear Estimation ......................................................................... 80
Weighted ean .......................................................................... 81
Section 7:
Section 7:Section 7:
Section 7: athematics and Number
athematics and Numberathematics and Number
athematics and Number-
--
-Alteration Functions
Alteration FunctionsAlteration Functions
Alteration Functions
....
........
....
83
8383
83
One-Number Functions ................................................................. 83
The Power Function ....................................................................... 85
Part II.
Part II.Part II.
Part II. Programming
ProgrammingProgramming
Programming
................................
................................................................
.................................................
..................................
.................
87
8787
87
Section 8:
Section 8:Section 8:
Section 8: Programming Basics
Programming BasicsProgramming Basics
Programming Basics
................................
................................................................
.........................................
..................
.........
88
8888
88
Why Use Programs? .....................................................................88
Creating a Program ......................................................................88
Running a Program ....................................................................... 89
Program emory .........................................................................90
Identifying Instructions in Program Lines ................................... 91
Displaying Program Lines ........................................................ 92
The 00 Instruction and Program Line 00 ............................ 93
Expanding Program emory .................................................. 94
Setting the Calculator to a Particular Program Line ..................... 95
Executing a Program One Line at a Time ......................................... 96
Interrupting Program Execution ....................................................... 97
Pausing During Program Execution ........................................... 97
Stopping Program Execution ................................................ 101
Section 9:
Section 9:Section 9:
Section 9: Branching and Looping
Branching and LoopingBranching and Looping
Branching and Looping
................................
................................................................
...................................
......
...
103
103103
103
Simple Branching .......................................................................103
Looping ................................................................................... 104
Conditional Branching ................................................................ 107
Section 10:
Section 10:Section 10:
Section 10: Program Editing
Program EditingProgram Editing
Program Editing
................................
................................................................
.............................................
..........................
.............
1
11
113
1313
13
Changing the Instruction in a Program Line ................................... 113
Adding Instructions at the End of a Program ................................. 114
Adding Instructions Within a Program .......................................... 115
Adding Instructions by Replacement ...................................... 115
Adding Instructions by Branching .......................................... 116

8 Contents
ContentsContents
Contents
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Section 11:
Section 11:Section 11:
Section 11: ultiple Programs
ultiple Programsultiple Programs
ultiple Programs
................................
................................................................
.........................................
..................
.........
120
120120
120
Storing Another Program ............................................................ 120
Running Another Program ........................................................... 122
Part III.
Part III.Part III.
Part III. Solutions
SolutionsSolutions
Solutions
................................
................................................................
.....................................................
..........................................
.....................
123
123123
123
Section 12:
Section 12:Section 12:
Section 12: Real Estate and Lending
Real Estate and LendingReal Estate and Lending
Real Estate and Lending
................................
................................................................
.................................
..
.
124
124124
124
Annual Percentage Rate Calculations With Fees............................. 124
Price of a ortgage Traded at a Discount or Premium .................... 126
Yield of a ortgage Traded at a Discount or Premium ................... 128
The Rent or Buy Decision ............................................................ 130
Deferred Annuities ..................................................................... 134
Section 13:
Section 13:Section 13:
Section 13: Investment Analysis
Investment AnalysisInvestment Analysis
Investment Analysis
................................
................................................................
.......................................
..............
.......
136
136136
136
Partial-Year Depreciation ............................................................. 136
Straight-Line Depreciation ..................................................... 136
Declining-Balance Depreciation ............................................ 139
Sum-of-the-Years-Digits Depreciation ...................................... 141
Full- and Partial-Year Depreciation with Crossover .......................... 144
Excess Depreciation ................................................................... 148
odified Internal Rate of Return .................................................. 148
Section 14:
Section 14:Section 14:
Section 14: Leasing
LeasingLeasing
Leasing................................
................................................................
.........................................................
..................................................
.........................
151
151151
151
Advance Payments ..................................................................... 151
Solving For Payment ............................................................ 151
Solving for Yield ................................................................. 154
Advance Payments With Residual ................................................ 156
Solving for Payment ............................................................. 156
Solving For Yield ................................................................. 158
Section 15:
Section 15:Section 15:
Section 15: Savings
SavingsSavings
Savings
................................
................................................................
........................................................
................................................
........................
160
160160
160
Nominal Rate Converted to Effective Rate ..................................... 160
Effective Rate Converted to Nominal Rate ..................................... 161
Nominal Rate Converted to Continuous Effective Rate ..................... 162
Section 16:
Section 16:Section 16:
Section 16: Bonds
BondsBonds
Bonds
................................
................................................................
...........................................................
......................................................
...........................
163
163163
163
30/360 Day Basis Bonds ........................................................... 163
Annual Coupon Bonds ............................................................... 166

Contents
ContentsContents
Contents
9
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Appendixes
AppendixesAppendixes
Appendixes
................................
................................................................
................................................................
................................................................
....................................
........
....
169
169169
169
Appendix A:
Appendix A:Appendix A:
Appendix A: The Automatic emory Stack
The Automatic emory StackThe Automatic emory Stack
The Automatic emory Stack
.......................
..............................................
.......................
170
170170
170
Getting Numbers Into the Stack: The Key ............................. 171
Termination of Digit Entry ..................................................... 172
Stack Lift ............................................................................. 172
Rearranging Numbers in the Stack ............................................... 172
The key...................................................................... 172
The Key ....................................................................... 172
One-Number Functions and the Stack ........................................... 173
Two-Number Functions and the Stack ............................................ 173
athematics Functions ......................................................... 173
Percentage Functions ............................................................ 174
Calendar and Financial Functions ................................................. 175
The LAST X Register and the Key ......................................... 176
Chain Calculations ..................................................................... 176
Arithmetic Calculations with Constants ..........................................177
Appendix B:
Appendix B:Appendix B:
Appendix B: ore About
ore About ore About
ore About L
LL
L
................................
................................................................
.........................................
..................
.........
179
179179
179
Appendix C:
Appendix C:Appendix C:
Appendix C: Error Conditions
Error ConditionsError Conditions
Error Conditions
................................
................................................................
..........................................
....................
..........
181
181181
181
Error 0: athematics ................................................................. 181
Error 1: Storage Register Overflow ............................................... 182
Error 2: Statistics ........................................................................ 182
Error 3: IRR ................................................................................ 182
Error 4: emory ........................................................................ 182
Error 5: Compound Interest .......................................................... 183
Error 6: Storage Registers ............................................................ 183
Error 7: IRR ................................................................................184
Error 8: Calendar .......................................................................184
Error 9: Service ..........................................................................184
Pr Error .....................................................................................184
Appendix D:
Appendix D:Appendix D:
Appendix D: Formulas Used
Formulas UsedFormulas Used
Formulas Used
................................
................................................................
............................................
........................
............
185
185185
185
Percentage ................................................................................ 185
Interest ...................................................................................... 185
Simple Interest ..................................................................... 185
Compound Interest ............................................................... 186
Amortization .............................................................................. 186
Discounted Cash Flow Analysis .................................................... 187
Net Present Value ................................................................ 187
Internal Rate of Return .......................................................... 187
Calendar .................................................................................. 187
Actual Day Basis ................................................................. 187

10 Contents
ContentsContents
Contents
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30/360 Day Basis .............................................................. 187
Bonds ...................................................................................... 188
Depreciation ............................................................................. 189
Straight-Line Depreciation ..................................................... 189
Sum-of-the-Years-Digits Depreciation ...................................... 189
Declining-Balance Depreciation ............................................ 190
odified Internal Rate of Return .................................................. 190
Advance Payments ..................................................................... 190
Interest Rate Conversions ............................................................ 191
Finite Compounding ............................................................ 191
Continuous Compounding .................................................... 191
Statistics ................................................................................... 191
ean ................................................................................ 191
Weighted ean ................................................................. 191
Linear Estimation ................................................................. 191
Standard Deviation ............................................................. 192
Factorial ............................................................................ 192
The Rent or Buy Decision ............................................................ 192
Appendix E:
Appendix E:Appendix E:
Appendix E: Batteries, Warranty, and Customer Care
Batteries, Warranty, and Customer CareBatteries, Warranty, and Customer Care
Batteries, Warranty, and Customer Care
.......
..............
.......
193
193193
193
Batteries ................................................................................... 193
Low-Power Indication .................................................................. 193
Installing New Batteries ....................................................... 193
Verifying Proper Operation (Self-Tests) .......................................... 194
Perchlorate aterial – special handling may apply. ....................... 195
HP Limited Hardware Warranty and Customer Care ...................... 196
Customer Care .......................................................................... 197
Regulatory Information ............................................................... 200
Disposal of Waste Equipment by Users in Private Household in the
European Union ........................................................................ 202
Appendix F:
Appendix F:Appendix F:
Appendix F: United Kingdom Calculations
United Kingdom CalculationsUnited Kingdom Calculations
United Kingdom Calculations
.......................
..............................................
.......................
203
203203
203
ortgages ................................................................................ 203
Annual Percentage Rate (APR) Calculations ................................... 204
Bond Calculations ..................................................................... 204
Function Key Index
Function Key IndexFunction Key Index
Function Key Index
................................
................................................................
.........................................................
..................................................
.........................
205
205205
205
Programming Key Index
Programming Key IndexProgramming Key Index
Programming Key Index
................................
................................................................
..................................................
....................................
..................
208
208208
208
Subject Index
Subject IndexSubject Index
Subject Index
................................
................................................................
................................................................
................................................................
.................................
..
.
210
210210
210

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aking
aking aking
aking Financial
FinancialFinancial
Financial
Calculations Easy
Calculations EasyCalculations Easy
Calculations Easy
Before you begin to read through this handbook, let’s take a look at how easy
financial calculations can be with your hp 12c. While working through the
examples below, don’t be concerned about learning how to use the calculator;
we’ll cover that thoroughly beginning with Section 1.
Example 1:
Example 1:Example 1:
Example 1: Suppose you want to ensure that you can finance your daughter’s
college education 14 years from today. You expect that the cost will be about
$6,000 a year ($500 a month) for 4 years. Assume she will withdraw $500 at the
beginning of each month from a savings account. How much would you have to
deposit into the account when she enters college if the account pays 6% annual
interest compounded monthly?
This is an example of a compound interest calculation. All such problems involve at
least three of the following quantities:
n
: the
number
of compounding periods.
i
: the
interest
rate per compounding period.
PV
: the
present value
of a compounded amount.
P T
: the periodic
payment
amount.
FV
: the
future value
of a compounded amount.
In this particular example:
n
is 4 years × 12 periods per year = 48 periods.
i
is 6% per year ÷ 12 periods per year = 0.5% per period.
PV
is the quantity to be calculated — the present value when the financial
transaction begins.
P T
is $500.
FV
is zero, since by the time your daughter graduates she (hopefully!) will
not need any more money.
To begin, turn the calculator on by pressing the ; key. Then, press the keys
shown in the Keystro
KeystroKeystro
Keystrokes
keskes
kes column below.*
*
If you are not familiar with the use of an hp calculator keyboard, refer to the description on
pages 16 and 17.

12
1212
12
aking Financial
aking Financialaking Financial
aking Financial
Calculations Easy
Calculations EasyCalculations Easy
Calculations Easy
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Note:
Note: Note:
Note: A battery symbol (
) shown in the lower-left corner of the display
when the calculator is on signifies that the available battery power is nearly
exhausted. To install new batteries, refer to Appendix E.
The calendar functions and nearly all of the financial functions take some
time to produce an answer. (This is typically just a few seconds, but the
¼, !, L, and S functions could require a half-minute or more.)
During these calculations, the word running
runningrunning
running flashes in the display to let you
know that the calculator is running.
Keystrokes
KeystrokesKeystrokes
Keystrokes
Display
DisplayDisplay
Display
fCLEARHf2
0.00
Clears previous data inside the
calculator and sets display to show
two decimal places.
4gA
48.00
Calculates and stores the number of
compounding periods.
6gC
0.50
Calculates and stores the periodic
interest rate.
500P
500.00
Stores periodic payment amount.
g×
500.00
Sets payment mode to Begin.
$
-
2
1
,396.61
Amount required to be deposited.*
Example 2:
Example 2:Example 2:
Example 2: We now need to determine how to accumulate the required deposit by
the time your daughter enters college 14 years from now. Let’s say that she has a
paid-up $5,000 insurance policy that pays 5.35% annually, compounded
semiannually. How much would it be worth by the time she enters college?
In this example, we need to calculate
FV
, the future value.
Keystrokes
KeystrokesKeystrokes
Keystrokes
Display
DisplayDisplay
Display
fCLEARG
-
21,396.61
Clears previous financial data inside
the calculator.
14\2µw
28.00
Calculates and stores the number of
compounding periods.
5.35\2z¼
2.68
Calculates and stores the periodic
interest rate.
5000Þ$
-
5
,
000.00
Stores the present value of the
policy.
M
10,470.85
Value of policy in 14 years.
*
Don’t be concerned now about the minus sign in the display. That and other details will be
explained in Section 3.

aking Financial
aking Financialaking Financial
aking Financial
Calculations Easy
Calculations EasyCalculations Easy
Calculations Easy
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Example 3:
Example 3:Example 3:
Example 3: The preceding example showed that the insurance policy will provide
about half the required amount. An additional amount must be set aside to provide
the balance (21,396.61 – 10,470.85 = 10,925.76). Suppose you make monthly
payments, beginning at the end of next month, into an account that pays 6%
annually, compounded monthly. What payment amount would be required in
order to accumulate $10,925.75 in the 14 years remaining?
Keystrokes
KeystrokesKeystrokes
Keystrokes
Displ
DisplDispl
Displ
ay
ayay
ay
fCLEARG
10,470.85
Clears previous financial data
inside the calculator.
14gA
168.00
Calculates and stores the number of
compounding periods.
6gC
0.50
Calculates and stores the periodic
interest rate.
10925.76M
10.925.76
Stores the future value required.
gÂ
10.925.76
Sets payment mode to End.
P
–
41.65
onthly payment required.
Example 4:
Example 4:Example 4:
Example 4: Suppose you cannot find a bank that currently offers an account with
6% annual interest compounded monthly, but you can afford to make $45.00
monthly payments. What is the minimum interest rate that will enable you to
accumulate the required amount?
In this problem, we do not need to clear the previous financial data inside the
calculator, since most of it is unchanged from the preceding example.
Keystrokes
KeystrokesKeystrokes
Keystrokes
Displa
DisplaDispla
Displa
y
yy
y
45ÞP
–
45.00
Stores payment amount.
¼
0.42
Periodic interest rate.
12µ
5.01
Annual interest rate.
This is only a small sampling of the many financial calculations that can now be
done easily with your hp 12c. To begin learning about this powerful financial tool,
just turn the page.


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Part I
Part IPart I
Part I
Problem Solving
Problem SolvingProblem Solving
Problem Solving

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Section 1
Getting Started
Getting StartedGetting Started
Getting Started
Power On and Off
Power On and OffPower On and Off
Power On and Off
To begin using your hp 12c, press the ; key*. Pressing ; again turns the
calculator off. If not manually turned off, the calculator will turn off automatically 8
to 17 minutes after it was last used.
Low
LowLow
Low-
--
-Power Indication
Power IndicationPower Indication
Power Indication
A battery symbol (
) shown in the upper-left corner of the display when the
calculator is on signifies that the available battery power is nearly exhausted. To
replace the batteries, refer to Appendix E.
The Keyboard
The KeyboardThe Keyboard
The Keyboard
any keys on the hp 12c perform two or even three functions. The primary
function of a key is indicated by the characters printed in white on the upper face
of the key. The alternate function(s) of a key are indicated by the characters
printed in gold above the key and the characters printed in blue on the lower face
of the key. These alternate functions are specified by pressing the appropriate
prefix
key before the function key:
To specify the alternate function printed in gold
above a key, press the gold prefix key (f
), then
press the function key.
To specify the primary function printed on
the upper
face of a key, press the key alone.
To specify the alternate function printed in blue on the
lower face of a key, press the blue prefix key (g
),
then press the function key.
*
Note that the ; key is lower than the other keys to help prevent its being pressed
inadvertently.

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Throughout this handbook, references to the
operation
of an alternate function
appear as only the function name in a box (for example, “The L function …”).
References to the
selection
of an alternate function appear preceded by the
appropriate prefix key (for example, “Pressing fL …”). References to the
functions shown on the keyboard in gold under the bracket labeled “CLEAR”
appear throughout this handbook preceded by the word “CLEAR” (for example,
“The CLEARH function …” or “Pressing fCLEARH …”).
If you press the f or g prefix key mistakenly, you can cancel it by pressing
fCLEARX. This can also be pressed to cancel the ?, :, and ( keys.
(These keys are “prefix” keys in the sense that other keys must be pressed after
them in order to execute the corresponding function.) Since the X key is also
used to display the mantissa (all 10 digits) of a displayed number, the mantissa of
the number in the display will appear for a moment after the X key is released.
Pressing the f or g prefix key turns on the corresponding status indicator — f
ff
f or
g
gg
g — in the display. Each indicator turns off when you press a function key
(executing an alternate function of that key), another prefix key, or fCLEARX.
Keying in Numbers
Keying in NumbersKeying in Numbers
Keying in Numbers
To key a number into the calculator, press the digit keys in sequence, just as if you
were writing the number on paper. A decimal point must be keyed in (using the
decimal point key) if it is part of the number unless it appears to the right of the last
digit.
Digit Separators
Digit SeparatorsDigit Separators
Digit Separators
As a number is keyed in, each group of three digits to the left of the decimal point
is automatically separated in the display. When the calculator is first turned on
after coming from the factory — or after Continuous emory is reset — the
decimal point in displayed numbers is a dot, and the separator between each
group of three digits is a comma. If you wish, you can set the calculator to display
a comma for the decimal point and a dot for the three-digit separator. To do so,
turn the calculator off, then press and hold down the . key while you press ;.
Doing so again sets the calculator to use the original digit separators in the
display.
Negative Numbers
Negative NumbersNegative Numbers
Negative Numbers
To make a displayed number negative — either one that has just been keyed in or
one that has resulted from a calculation — simply press Þ (
change sign
) . When
the display shows a negative number — that is, the number is preceded by a
minus sign — pressing Þ removes the minus sign from the display, making the
number positive.

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Section 1: Section 1:
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Getting StartedGetting Started
Getting Started
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Keying in Large Numbers
Keying in Large NumbersKeying in Large Numbers
Keying in Large Numbers
Since the display cannot show more than 10 digits of a number, numbers greater
than 9,999,999,999 cannot be entered into the display by keying in all the digits
in the number. However, such numbers can be easily entered into the display if the
number is expressed in a mathematical shorthand called “scientific notation.” To
convert a number into scientific notation, move the decimal point until there is only
one digit (a nonzero digit) to its left. The resulting number is called the “mantissa”
of the original number, and the number of decimal places you moved the decimal
point is called the “exponent” of the original number. If you moved the decimal
point to the left, the exponent is positive; if you moved the decimal point to the
right (this would occur for numbers less than one), the exponent is negative. To key
the number into the display, simply key in the mantissa, press Æ (
enter exponent
),
then key in the exponent. If the exponent is negative, press Þ after pressing
Æ.
For example, to key in $1,781,400,000,000, we move the decimal point 12
places to the left, giving a mantissa of 1.7814 and an exponent of 12:
Keystrokes
KeystrokesKeystrokes
Keystrokes
Display
DisplayDisplay
Display
1.7814Æ12
1.7814
12
1,781,400,000,000 entered in
scientific notation.
Numbers entered in scientific notation can be used in calculations just like any
other number.
The CLEA
The CLEAThe CLEA
The CLEAR Keys
R KeysR Keys
R Keys
Clearing
a register or the display replaces the number in it with zero. Clearing
program memory replaces the instructions there with g(00. There are several
clearing operations on the hp 12c, as shown in the table below:
Key(s)
Key(s)Key(s)
Key(s)
Clears:
Clears:Clears:
Clears:
O
Display and X-register.
fCLEAR² Statistics registers (R
1
through R
6
), stack registers, and
display.
fCLEARÎ Program memory (only when pressed in Program mode).
fCLEARG Financial registers.
fCLEARH Data storage registers, financial registers, stack and LAST X
registers, and display.

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Simple Arithmetic Calculations
Simple Arithmetic CalculationsSimple Arithmetic Calculations
Simple Arithmetic Calculations
Any simple arithmetic calculation involves two numbers and an operation —
addition, subtraction, multiplication, or division. To do such a calculation on your
hp 12c, you first tell the calculator the two numbers,
then
tell the calculator the
operation to be performed. The answer is calculated when the operation key
(+,,µ, or z) is pressed.
The two numbers should be keyed into the calculator in the order they would
appear if the calculation were written down on paper left-to-right. After keying in
the first number, press the \ key to tell the calculator that you have completed
entering the number. Pressing \
separates
the second number to be entered
from the first number already entered.
In summary, to perform an arithmetic operation:
1. Key in the first number.
2. Press \ to separate the second number from the first.
3. Key in the second number.
4. Press +,,µ, or z to perform the desired operation.
For example to calculate 13 ÷ 2, proceed as follows:
Keystrokes
KeystrokesKeystrokes
Keystrokes
Display
DisplayDisplay
Display
13
13.
Keys the first number into the
calculator.
\
13.00
Pressing \ separates the second
number from the first.
2
2.
Keys the second number into the
calculator.
z
6.50
Pressing the operation key calculates
the answer.
Notice that after you pressed \, two zeroes appeared following the decimal
point. This is nothing magical: the calculator’s display is currently set to show two
decimal places of every number that has been entered or calculated. Before you
pressed \, the calculator had no way of knowing that you had completed
entering the number, and so displayed only the digits you had keyed in. Pressing
\ tells the calculator that you have completed entering the number: it
terminates
digit entry
. You need not press \ after keying in the second number because
the +,,µ and z keys also terminate digit entry. (In fact, all keys terminate
digit entry except for digit entry keys — digit keys, ., Þ, and Æ — and
prefix keys — f, g, ?, :, and (.)

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Getting StartedGetting Started
Getting Started
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Chain Calculations
Chain CalculationsChain Calculations
Chain Calculations
Whenever the answer has just been calculated and is therefore in the display, you
can perform another operation with this number by simply keying in the second
number and then pressing the operation key: you need
not
press \ to separate
the second number from the first. This is because when a number is keyed in after
a function key (such as +,,µ, z, etc.) is pressed, the result of that prior
calculation is stored inside the calculator — just as when the \ key is pressed.
The only time you must press the
\
key to separate two numbers is when you
are keying them both in, one immediately following the other
.
The hp 12c is designed so that each time you press a function key in RPN mode,
the calculator performs the operation
then
— not later — so that you see the results
of all intermediate calculations, as well as the “bottom line.”
Example:
Example:Example:
Example: Suppose you’ve written three checks without updating your checkbook,
and you’ve just deposited your paycheck for $1,053.00 into your checking
account. If your latest balance was $58.33 and the checks were written for
$22.95, $13.70, and $10.14, what is the new balance?
Solution:
Solution: Solution:
Solution: When written down on paper, this problem would read
58.33 – 22.95 – 13.70 – 10.14 + 1053
Keystrokes
KeystrokesKeystrokes
Keystrokes
Display
DisplayDisplay
Display
58.33
58.33
Keys the first number.
\
58.33
Pressing \ separates the second
number from the first.
22.95
22.95
Keys in the second number.
35.38
Pressing subtracts the second
number from the first. The calculator
displays the result of this calculation,
which is the balance after subtracting
the first check.
13.70
13.70
Keys in the next number. Since a
calculation has just been performed,
do not press \; the next number
entered (13.70) is automatically
separated from the one previously in
the display (35.38).
Table of contents
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