Hewlett Packard NW239AA User Manual

HP 10bII+ Financial Calculator User’s Guide
HP Part Number: NW239-90001 Edition 1, May 2010
i

Legal Notice

This manual and any examples contained herein are provided “as is” and are subject to change without notice. Hewlett-Packard Company makes no warranty of any kind with regard to this manual, including, but not limited to, the implied warranties of merchantability, non-infringement and fitness for a particular purpose. In this regard, HP shall not be liable for technical or editorial errors or omissions contained in the manual.
Hewlett-Packard Company shall not be liable for any errors or for incidental or consequential damages in connection with the furnishing, performance, or use of this manual or the exam­ples contained herein.
Copyright © 2010 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 Palo Alto, CA 94304 USA
ii

HP 10bII+ Financial Calculator

iii

Keyboard Map Legend

Number
(row of keys)
1 12 character, seven-
2 Time Value of Money
3 Input key, markup, cost,
4 K memory register,
5 Change sign, recall
Primary Functions
(white)
segment screen display
(TVM)
price and margin
percent, cash flow amount, statistics entry, backspace
and memory
SHIFT Down \
(orange functions on
key bevel)
Payments per year, interest conversion, amortization,
Date and change of days, IRR per year, NPV, beginning/end of payment period
Swap, percent change, cash flow count, delete statistics, round
Scientific notation, store, clear statistics, parentheses
SHIFT Up ]
(blue functions above
keys)
Bond calculations
Calendar and coupon payment schedules, settlement and maturity dates (bonds)
Break-even calculation
Depreciation, hyperbolic and trigonometric functions
6 Shift (blue, up)
Shift (orange, down)
7 Numbered keys: 1, and
4-9 8 Clearing functions Clearing functions Clearing functions 9On Off Operating modes
10 Numbered keys: 0 and
2-3, decimal
11 Mathematical functions Common mathematical
12 A n n u n c i at o r s
Statistics, weighted mean and estimation
Common mathematical functions
functions, parentheses
Statistical functions and regression modes
Probability functions
Trigonometric functions
iv

Table of Contents

Legal Notice...............................................................................................................ii
HP 10bII+ Financial Calculator.................................................................................... iii
Keyboard Map Legend............................................................................................... iv
1 At a Glance........................................................................................................................ 1
Basics of Key Functions................................................................................................1
Shift Keys...................................................................................................................2
Boxed Key Functions ...................................................................................................2
Percentages ...............................................................................................................3
Memory Keys .............................................................................................................4
Time Value of Money (TVM) .........................................................................................6
TVM What if... ...........................................................................................................7
Amortization ..............................................................................................................8
Depreciation ..............................................................................................................9
Interest Rate Conversion.............................................................................................10
Cash Flows, IRR/YR, NPV, and NFV ...........................................................................11
Date and Calendar ...................................................................................................13
Bonds......................................................................................................................14
Break-even ...............................................................................................................16
Statistical Calculations...............................................................................................17
Probability ...............................................................................................................19
Trigonometric Functions .............................................................................................20
2 Getting Started................................................................................................................. 23
Power On and Off ....................................................................................................23
Manual Conventions and Examples.............................................................................23
Basics of Key Functions..............................................................................................24
Shift Keys.................................................................................................................25
Boxed Key Functions .................................................................................................25
Simple Arithmetic Calculations....................................................................................26
Understanding the Display and Keyboard....................................................................29
Cursor .....................................................................................................................29
Clearing the Calculator..............................................................................................29
Annunciators ............................................................................................................30
Input Key .................................................................................................................32
Swap Key ................................................................................................................32
Statistics Keys...........................................................................................................32
Time Value of Money (TVM), Cash Flows, Bond, and Break-even Keys ............................33
Math Functions .........................................................................................................33
Trigonometric and Hyperbolic Functions and Modes .....................................................35
Pi............................................................................................................................36
Hyperbolic Functions.................................................................................................36
Two-Number Functions ..............................................................................................37
In-line Functions ........................................................................................................37
1
Arithmetic with One-and Two-number Functions............................................................39
Last Answer ............................................................................................................. 41
Display Format of Numbers .......................................................................................41
Scientific Notation....................................................................................................43
Interchanging the Period and Comma ......................................................................... 43
Rounding Numbers................................................................................................... 43
Messages................................................................................................................44
3 Business Percentages.........................................................................................................45
The Business Percentage Keys .................................................................................... 45
Percent key.............................................................................................................. 45
Margin and Markup Calculations...............................................................................47
4 Number Storage and Storage Register Arithmetic ...............................................................49
Using Stored Numbers in Calculations ........................................................................49
5 Picturing Financial Problems ..............................................................................................55
How to approach a Financial Problem........................................................................ 55
Signs of Cash Flows .................................................................................................56
Periods and Cash Flows............................................................................................56
Simple and Compound Interest................................................................................... 56
Interest Rates............................................................................................................57
Two Types of Financial Problems................................................................................ 58
Recognizing a Cash Flow Problem .............................................................................59
6 Time Value of Money Calculations .....................................................................................61
Using the TVM Application ........................................................................................ 61
The TVM Keys.......................................................................................................... 61
Begin and End Modes...............................................................................................62
Loan Calculations.....................................................................................................62
Savings Calculations.................................................................................................67
Lease Calculations.................................................................................................... 71
Amortization............................................................................................................ 74
Interest Rate Conversions........................................................................................... 79
Resetting the TVM Keys .............................................................................................82
7 Depreciation .....................................................................................................................83
The Depreciation Keys .............................................................................................. 83
Resetting the TVM Keys .............................................................................................86
2
8 Cash Flow Calculations..................................................................................................... 87
How to Use the Cash Flow Application........................................................................87
Clearing the Cash Flow Memory.................................................................................88
Calculating Internal Rate of Return...............................................................................90
NPV and IRR/YR: Discounting Cash Flows ...................................................................91
Organizing Cash Flows.............................................................................................91
Viewing and Editing Cash Flows.................................................................................93
Calculating Net Present Value and Net Future Value .....................................................95
Automatic Storage of IRR/YR and NPV........................................................................98
9 Calendar Formats and Date Calculations ........................................................................... 99
Calendar Format.......................................................................................................99
Date Format .............................................................................................................99
Date Calculations and Number of Days.....................................................................101
Number of Days .....................................................................................................102
10 Bonds .......................................................................................................................... 105
The Bond Keys........................................................................................................105
Resetting the bond keys ...........................................................................................108
11 Break-even .................................................................................................................. 109
The Break-even Keys................................................................................................109
Resetting the Break-even keys ...................................................................................112
12 Statistical Calculations .................................................................................................. 113
Clearing Statistical Data ..........................................................................................114
Entering Statistical Data ...........................................................................................114
Viewing and Editing Statistical Data..........................................................................116
Summary of Statistical Calculations ...........................................................................119
Mean, Standard Deviations, and Summation Statistics.................................................120
Linear Regression, Estimation, and Regression Modes..................................................121
Weighted Mean .....................................................................................................124
Regression Models and Variables .............................................................................125
Probability Calculations ...........................................................................................126
Factorial ................................................................................................................126
Permutations...........................................................................................................126
Combinations.........................................................................................................127
Random Number and Seed......................................................................................127
Advanced Probability Distributions ............................................................................128
Normal Lower Tail Probability ..................................................................................129
Inverse of Normal Lower Tail Probability....................................................................130
Student's T Probability Lower Tail ..............................................................................131
3
Inverse of Student’s t Probability Lower Tail................................................................ 132
Conversions from Lower Tail .................................................................................... 133
13 Additional Examples .....................................................................................................137
Business Applications.............................................................................................. 137
Loans and Mortgages .............................................................................................139
Savings.................................................................................................................148
Cash Flow Examples............................................................................................... 152
14 Appendix A: Batteries and Answers to Common Questions ..................................................I
Power and Batteries..................................................................................................... I
Low Power Annunciator................................................................................................ I
Installing Batteries........................................................................................................ I
Determining if the Calculator Requires Service ................................................................II
Answers to Common Questions....................................................................................III
Environmental Limits................................................................................................... IV
15 Appendix B: More About Calculations.................................................................................I
IRR/YR Calculations..................................................................................................... I
Equations ................................................................................................................... I
16 Appendix C: Messages.......................................................................................................I
17 Warranty, Regulatory, and Contact Information .................................................................1
Replacing the Batteries................................................................................................ 1
HP Limited Hardware Warranty and Customer Care....................................................... 1
Limited Hardware Warranty Period .............................................................................. 1
General Terms ...........................................................................................................2
Exclusions.................................................................................................................. 2
Regulatory Information ................................................................................................ 3
Federal Communications Commission Notice................................................................. 3
Modifications............................................................................................................. 3
Declaration of Conformity for Products Marked with FCC Logo, United States Only ............ 4
Canadian Notice ....................................................................................................... 4
Avis Canadien ........................................................................................................... 4
European Union Regulatory Notice...............................................................................4
Japanese Notice ........................................................................................................ 5
Disposal of Waste Equipment by Users in Private Household in the European Union........... 5
Perchlorate Material - special handling may apply.......................................................... 6
Customer Care........................................................................................................... 6
Contact Information ....................................................................................................6
4
1 At a Glance...
This section is designed for you if you’re already familiar with calculator operation or financial concepts. You can use it for quick reference. The rest of the manual is filled with explanations and examples of the concepts presented in this section.

Basics of Key Functions

Table 1-1 Basics of key functions
Keys Display Description
=
] [blue]
\ [orange]
JGD|
M
\t
0.00 Turns calculator on.
0.00
0.00
12_ Erases last character.
0.00 Clears display.
0.00 Clears statistics
Displays shift
annunciator .
Displays shift
annunciator .
memory.
\N
]Oj
]OY
]OJ
]O:
\>
12 P _ Y r (message flashes, then
disappears)
BOND CLR (message flashes,
then disappears)
BR EV CLR (message flashes,
then disappears)
TVM CLR (message flashes, then
disappears)
CFLO CLR (message flashes, then
disappears)
Clears all memory.
Clears bond memory.
Clears break-even memory.
Clears tvm registers.
Clears cash flow memory.
Turns calculator off.

At a Glance...

1

Shift Keys

Most keys on the HP 10bII+ have three functions:
a primary function printed in white on the key.
a secondary function printed in orange on the bevel of the key.
a tertiary function printed in blue above the key on the keyboard (see Figure 1).
Figure 1
As an example, the functions associated with the equals key, 4, are illustrated in the text
as follows:
primary function (equals): 4
secondary function (display): \5
tertiary function (random): ]6

Boxed Key Functions

These special functions require subsequent key presses to operate. For example, the functions
associated with the clear key, M, include:
Table 1-2 Clearing functions
Keys Associated Function
Clear display.
M \N
Clear all memory.
]Oj
Clears bond memory.
At a Glance...2
Table 1-2 Clearing functions
Keys Associated Function
]OY
Clears break-even memory.
]OJ
Clears TVM memory.
]O:
Clears cash flow memory.
\t
Clears statistics memory.
For more information on the calculator’s keys and basic functions, refer to chapter 2, Getting Started.

Percentages

Table 1-3 Keys for percentage calculations
Keys Description
Percent
§ \¨
Percent change
À ¼ ® Ã
Add 15% to 17.50.
Table 1-4 Calculating the price
Keys Display Description
Jj7V:1 JV§4
Cost
Price
Margin
Markup
17.50 Enters number.
20.13 Adds 15%.
Find the margin if the cost is 15.00 and selling price is 22.00.
At a Glance...
3
Table 1-5 Finding the margin
Keys Display Description
JVÀ
15. 00 E n ter s cos t.
GG¼
22.00 Enters price.
®
31. 82 C al c u la t e s m arg i n.
If the cost is 20.00 and the markup is 33%, what is the selling price?
Table 1-6 Calculating the price
Keys Display Description
20.00 Enters cost.
G:À DDÃ
33.00 Enters markup.
¼
26.60 Calculates price.
For more information on percentages, refer to chapter 3, Business Percentages.

Memory Keys

Table 1-7 Memory keys
Keys Description
Stores a constant operation.
ª s
Stores a value in the M register (memory location).
p
Recalls a value from the M register.
m
Adds a value to the number stored in the M register.
\w
When followed by a number key, : to d, or 7 and : to d, stores a number in the display into a numbered data storage register. There are 20 storage registers, designated 0-
19. Pre ss
\w7 followed by : through d to access registers 10-19.
v
At a Glance...4
When followed by a number key, : to d, or 7 and : to d, recalls a number from
a storage register. Press
v7 followed by : through d to access registers 10-19.
Multiply 17, 22, and 25 by 7, storing ‘× 7’ as a constant operation.
Table 1-8 Storing ‘x 7’ as a constant
Keys Display Description
JjPjª
7.0 0 St ore s ‘ × 7’ as a
119.00 Multiplies 17 × 7.
4
154.00 Multiplies 22 × 7.
GG4
175.00 Multiplies 25 × 7.
GV4
Store 519 in register 2, then recall it.
Table 1-9 Storing and recalling
Keys Display Description
519.00 Stores 519 in register 2.
VJd\wG
0.00 Clears display.
M
519.0 0 Re c a lls reg i s te r 2.
vG
constant operation.
Store 1.25 into register 15, then add 3, and store the result in register 15.
Table 1-10 Storage register arithmetic
Keys Display Description
J7GV
\w7V
D\w17V
1. 25 In p ut s 1. 25 i nt o t he display.
Stores 1.25 in register 15 .
3.00 Adds 3 to 1.25 in register 15 stores the result in register 15.
0.00 Clears the display.
M v7V
4.25 Recalls register 15.
For more information on number storage and storage register arithmetic, refer to chapter 4, Number Storage and Storage Register Arithmetic.
At a Glance...
5

Time Value of Money (TVM)

Enter any four of the five values and solve for the fifth. A negative sign in the display represents money paid out, and money received is positive.
Table 1-11 Keys for TVM calculations
Keys Description
]OJ Ù \Ú Ò
Ï Ì É \¯ \Í
Clears TVM memory and the current P_YR is displayed.
Number of payments.
Multiplies a value by the number of payments per year and stores as N.
Interest per year.
Present value.
Payment.
Future value.
Begin or End mode.
Number of payments per year mode.
If you borrow 14,000 (PV) for 360 months (N) at 10% interest (I/YR), what is the monthly repayment?
Set to End mode. Press
Table 1-12 Calculating the monthly payment
Keys Display Description
]OJ
if BEGIN annunciator is displayed.
TVM CLR (message flashes, then
disappears)
12.00 Sets payments per year.
Clears TVM memory and displays the current P_YR.
JG\Í DS:Ù
360.00 Enters number of payments.
J:Ò
10.00 Enters interest per year.
JY:::Ï
14,000.00 Enters present value.
At a Glance...6
Table 1-12 Calculating the monthly payment
Keys Display Description
0.00 Enters future value.
Ì

TVM What if...

It is not necessary to reenter TVM values for each example. Using the values you just entered, how much can you borrow if you want a payment of 100.00?
Table 1-13 Calculating a new payment
Keys Display Description
J::yÌ
Ï
...how much can you borrow at a 9.5% interest rate?
-122.86 Calculates payment if paid at end of period.
-100.00 Enters new payment amount. (Money paid out is negative).
11,395.08 Calculates amount you can
borrow.
Table 1-14 Calculating a new interest rate
Keys Display Description
9.50 Enters new interest rate.
d7VÒ Ï
J:Ò JY:::Ï
11,892.67 Calculates new present
value for 100.00 payment and 9.5% interest.
10.00 Reenters original interest rate.
14,000.00 Reenters original present
value.
-122.86 Calculates original payment.
Ì
For more information on TVM concepts and problems, refer to chapter 5, Picturing Financial Problems, and chapter 6, Time Value of Money Calculations.
At a Glance...
7

Amortization

After calculating a payment using Time Value of Money (TVM), input the periods to amortize and press . Press once for periods 1-12, and once again for payments 13-
24. Press 4 to continually cycle through the principal, interest, and balance values (indicated by the PRIN, INT, and BAL annunciators respectively). Using the previous TVM example,
amortize a single payment and then a range of payments.
Amortize the 20th payment of the loan.
Table 1-15 Amortizing the 20th payment of the loan
Keys Display Description
G:Æ
20.00 Enters period to amortize.
20 – 20 Displays period to amortize.
-7.25 Displays principal.
4
-115. 61 D is pl ays in teres t. ( Mo ney
4
13,865.83 Displays the balance
4
Amortize the 1st through 24th loan payments.
Table 1-16 Amortization example
Keys Display Description
12_ Enters range of periods to
JÆJG
paid out is negative).
amount.
amortize.
1 – 12 Displays range of periods
(payments).
-77.82 Displays principal.
4 4 4
-1,396.5 0 Di sp lays i nt ere st. (M on ey paid out is negative).
13,922.18 Displays the balance
amount.
13 – 24 Displays range of periods.
\Ê 4
-85.96 Displays principal.
At a Glance...8
Table 1-16 Amortization example
Keys Display Description
4
-1,388.36 Displays interest.
4
For more information on amortization, refer to the section titled, Amortization in chapter 6, Time Value of Money Calculations.

Depreciation

Table 1-17 Depreciation keys
Keys Description
Expected useful life of the asset.
13,836.22 Displays the balance
amount.
Ù Ò
Declining balance factor entered as a percentage.
Depreciable cost of the asset at acquisition.
Ï É
Salvage value of the asset.
]{
Straight-line depreciation.
]x
Sum-of-the-years’-digits depreciation.
]u
Declining Balance depreciation.
A metalworking machine, purchased for 10,000.00, is to be depreciated over five years. Its salvage value is estimated at 500.00. Using the straight-line method, find the depreciation and remaining depreciable value for each of the first two years of the machine's life.
Table 1-18 Calculating the depreciation
Keys Display Description
10,000.00 Inputs cost of the item.
J::::Ï V::É
500.00 Inputs the salvage value of the item.
5.00 Inputs the useful life of the asset.
VÙ J]{
1,900.00 Depreciation of the asset in year
one.
At a Glance...
9
Table 1-18 Calculating the depreciation
Keys Display Description
\« G]{ \«
For more information on depreciation, refer to chapter 7, Depreciation.
7,600.00 Remaining depreciable value
after year one.
1,900.00 Depreciation of the asset in year
two.
5,700.00 Remaining depreciable value
after year two.

Interest Rate Conversion

To convert between nominal and effective interest rates, enter the known rate and the number of periods per year, then solve for the unknown rate.
Ta ble 1-19 Keys fo r int er est ra te co nv ersi o n
Keys Description
Nominal interest percent.
\Ó \Ð
Effective interest percent.
Periods per year.
Find the annual effective interest rate of 10% nominal interest compounded monthly.
Table 1-20 Calculating the interest rate
Keys Display Description
10.00 Enters nominal rate.
J:\Ó JG\Í
12.00 Enters payments per year.
For more information on interest rate conversions, refer to the section titled, Interest Rate Conversions in chapter 6, Time Value of Money Calculations.
10.47 Calculates annual effective interest.
At a Glance...10

Cash Flows, IRR/YR, NPV, and NFV

Table 1-21 Cash flows, IRR, NPV, and NFV keys
Keys Description
]O: \Í
¤
number1
Æ number 2 ¤
Clears cash flow memory.
Number of periods per year (default is
12). For annual cash flows, P/YR should be set to 1; for monthly cash flows, use the default setting, 12 .
Cash flows, up to 45. “J” identifies the cash flow number. When preceded by a
number, pressing amount.
Enter a cash flow amount, followed by
¤ enters a cash flow
Æ. Enter a number for the cash flow
count followed by flow amount and count simultaneously.
Opens editor for reviewing/editing
entered cash flows. Press
¤ to enter cash
1 or A to
\¥ \Á
\½ \½\«
scroll through the cash flows. Number of consecutive times cash flow
J” occurs. Internal rate of return per year.
Net present value.
Net future value.
At a Glance...
11
If you have an initial cash outflow of 40,000, followed by monthly cash inflows of 4,700, 7,000, 7,000, and 23,000, what is the IRR/YR? What is the IRR per month?
Table 1-22 Calculating the IRR/YR and IRR per month
Keys Display Description
]O:
JG\Í Y::::y¤
Yj::¤
j:::ÆG¤
GD:::¤
CFLO CLR
(message flashes, then
disappears)
12.00 Sets payments per year.
-40,000.00
(CF 0 flashes, then disappears)
4,700.00
(CF 1 flashes, then disappears)
2.00
(CFn 2 flashes, then disappears)
23,000.00
(CF 3 flashes, then disappears)
0 -40,000.00 Reviews entered cash flows
Clears cash flow memory.
Enters initial outflow.
Enters first cash flow.
Enters both the cash flow amount (7000.00) and count (2.00) simultaneously for second cash flow.
Enters third cash flow.
starting with the initial cash flow.
15 . 9 6 C a l c u l a t e s IRR/YR.
1. 3 3 C a l c u l a t e s IRR per month.
aJG4
What is the NPV and NFV if the discount rate is 10%?
Table 1-23 Calculating NPV and NFV
Keys Display Description
10.0 0 Ent er s I/YR.
J:Ò
622.85 Calculates NPV.
Press
1 to scroll through the
cash flow list to verify the cash flow number, the amounts, and
count for each entry. Press to exit.
M
At a Glance...12
Table 1-23 Calculating NPV and NFV
Keys Display Description
\½\«
643.88 Calculates NFV.
For more information on cash flows, refer to chapter 8, Cash Flow Calculations in the HP 10bII+ Financial Calculator User’s Guide.

Date and Calendar

Table 1-24 Keys used for dates and calendar functions
Keys Description
Enters dates in DD.MMYYYY or MM.DDYYYY formats. D.MY is the default. Numbers at the far right of a calculated date indicate days of the week. 1 is for Monday; 7 is for Sunday.
Toggles between 360-and 365-day (Actual) calendars.
]Å \Ç
Calculates the date and day, past or future, that is a given number of days from a given date. Based on your current setting, returned result is calculated using either 360-day or 365-day (Actual).
Calculates the number of days between two dates. Returned result is always calculated based on the 365-day calendar (Actual).
If the current date is February 28 2010, what is the date 52 days from now? Calculate the date using the 365-day calendar (actual) and the M.DY settings.
If 360 is displayed, press . If D.MY is displayed, press .
Table 1-25 Calculating the date
Keys Display Description
G7GgG:J:
2.28 Inputs the date in the selected format.
\Ç VG4
For more information on date and calendar functions, refer to chapter 9, Calendar Formats and Date Calculations.
4-21-2010 3 Inputs the number of days
and calculates the date along with the day of the week.
At a Glance...
13

Bonds

Bond calculations, primarily calculating bond price and yield, are performed by two keys,
and . These keys permit you to input data or return results. Pressing ]Û
only calculates a result. The other keys used in bond calculations only permit you to input the data required for the calculations.
Table 1-26 Bond calculation keys
Keys Description
]Oj ]Û ]Ô ]Ñ ]Î ]Ë
]È ]Å
Clears bond memory.
Calculates accrued interest only.
Yield% to maturity or yield% to call date for given price.
Price per 100.00 face value for a given yield.
Coupon rate stored as an annual %.
Call value. Default is set for a call price per
100.00 face value. A bond at maturity has a call value of 100% of its face value.
Date format. Toggle between day-month-year (dd.mmyyyy) or month-day-year (mm.ddyyyy).
Day count calendar. Toggle between Actual (365-day calendar) or 360 (30-day month/ 360-day year calendar).
Bond coupon (payment). Toggle between semiannual and annual payment schedules.
]¾ ]°
What price should you pay on April 28, 2010 for a 6.75% U.S. Treasury bond maturing on June 4, 2020, if you want a yield of 4.75%? Assume the bond is calculated on a semiannual coupon payment on an actual/actual basis.
If SEMI is not displayed, press
If D.MY is displayed, press to select M.DY format.
At a Glance...14
Settlement date. Displays the current settlement date.
Maturity date or call date. The call date must coincide with a coupon date. Displays the current maturity.
to select the semiannual coupon payment.
Table 1-27 Bond calculation
Keys Display Description
]Oj
Y7GgG:J: ]¾
S7:YG:G: ]°
S7jV]Î J::]Ë
Y7jV]Ô ]Ñ
BOND CLR (message
flashes, then disappears)
4-28-2010 3 Inputs the settlement date
6-4-2020 4 Inputs the maturity date.
6.75 Inputs CPN%.
100.00 Inputs call value. Optional,
4.75 Inputs Yield%.
115.89 Calculates the price.
Clears bond memory.
(mm.ddyyyy format).
as default is 100.
1]Û 4
For more information on bond calculations, refer to chapter 10, Bonds.
2.69 Displays the current value for accrued interest.
118.59 Returns the result for total price (value of price + value of accrued interest). The net price you should pay for the bond is 11 8 . 5 9 .
At a Glance...
15

Break-even

Table 1-28 Break-even keys
Keys Description
]OY
Clears break-even memory.
Stores the quantity of units required for a given profit or calculates it.
Stores the sales price per unit or calculates it.
]© ]¦
Stores variable cost per unit for manufacturing or calculates it.
Stores the fixed cost to develop and market or calculates it.
Stores the expected profit or calculates it.
]~
The sale price of an item is 300.00, the cost 250.00, and fixed cost 150,000.00. For a profit of 10,000.00, how many units would have to be sold?
Table 1-29 Calculating break-even
Keys Display Description
]OY
BR EV CLR (message flashes,
then disappears)
150,000.00 Inputs fixed cost.
Clears break-even memory.
JV::::] £
GV:]¦
250.00 Inputs variable cost per unit.
D::]©
300.00 Inputs price.
J::::]~
10,00 0.00 I nput s profi t.
For more information on break-even calculations, refer to chapter 11, Break-even.
3,200.00 Calculates the current value
for the unknown item, UNITS.
At a Glance...16

Statistical Calculations

Table 1-30 Statistics keys
Keys Description
\t
x-data
¡
x-data
Æ y-data ¡
x-data
x-data
Æ y-data \¢
\k \«
Clear statistical registers.
Enter one-variable statistical data.
Delete one-variable statistical data.
Enter two-variable statistical data.
Delete two-variable statistical data.
Opens editor for reviewing/ editing entered statistical data.
Means of x and y.
\T \« \h \« \e \«
y-data
\Z \«
\W \«
x-data
]L
Mean of x weighted by y. Also calculates b, intercept.
Sample standard deviations of x and y.
Population standard deviations of x and y.
Estimate of x and correlation coefficient.
Estimate of y and slope.
Permits selection of six regression models; linear is default.
At a Glance...
17
Using the following data, find the means of x and y, the sample standard deviations of x and
Σ
Σ
y, and the y-intercept and the slope of the linear regression forecast line. Then, use summation statistics to find xy.
x-data 2 4 6 y-data 50 90 160
Table 1-31 Statistics example
Keys Display Description
\t GÆV:¡ YÆd:¡ SÆJS:¡ v¡
\k \«
0.00 Clears statistics registers.
1.00 Enters first x,y pair.
2.00 Enters second x,y pair.
3.00 Enters third x,y pair.
1 2.00 Reviews entered statistical
data, starting with the initial
x-value. Press through and verify the
entered statistical data.
Press
M to exit.
4.00 Displays mean of x.
100.00 Displays mean of y.
1 to scroll
\h \« \T\« \W\« ]f
For more information on statistical calculations, refer to chapter 12, Statistical Calculations.
At a Glance...18
2.00 Displays sample standard deviation of x.
55.68 Displays sample standard deviation of y.
-10 .0 0 D is pl ays y-intercept of regression line.
27.50 Displays slope of regression line.
1,420.00
Displays xy, sum of the products of x- and y-values.

Probability

Table 1-32 Probability keys
Keys Description
]F ]o
F ]I
]o I ]<
]9 ]E
Calculates a cumulative normal probability given a Z-value.
Calculates a Z-value given a cumulative normal probability.
Calculates the cumulative Student’s T probability given degrees of freedom and a T-value.
Calculates a T-value given degrees of freedom and the cumulative Student’s T probability.
Calculates number of permutations of n items taken
r at a time.
Calculates number of combinations of n taken
r at a time.
Calculates factorial of n (where -253 < n <
253).
Enter .5 as a Z-value and calculate the cumulative probability of the Z-value and the Z-value from a given cumulative probability.
Table 1-33 Calculating the probability
Keys Display Description
\5V
7V]F
0.00000 Sets number display to five digits to the right of the decimal.
.69146 Calculates the cumulative
probability of the Z-value.
.94146 Adds .25.
17GV4 ]oF
For more information on probability, refer to the section titled, Probability in chapter 12, Statistical Calculations.
1.56717 Calculates the Z-value from the cumulative probability.
At a Glance...
19

Trigonometric Functions

θ
θ
θ
Table 1-34 Trigonometry keys
Keys Description
] c, R, or C
]o
c, R, or C
]r
c, R, or C
Calculates sine, cosine, and tangent.
Calculates inverse sine, inverse cosine, and inverse tangent.
Calculates hyperbolic sine, cosine and tangent.
]ro
Calculates inverse hyperbolic sine, cosine, and tangent.
c, R, or C ]3
Find Sin =.62 in degrees. If RAD is displayed, press ]3.
Table 1-35 Trigonometry example
Keys Display Description
Toggles between radians and degrees modes. Degrees is the default setting.
.62
Enters value of sine for
7SG ]oc
38.32
Calculates
.
.
At a Glance...20
Convert the results to radians using Pi.
Table 1-36 Converting to radians
Keys Display Description
P\;aJg
.67 Converts degrees to radians.
:4
For more information on trigonometric functions, refer to chapter 2, Getting Started.
At a Glance...
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At a Glance...22
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