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4
1At 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
KeysDisplayDescription
=
] [blue]
\ [orange]
JGD|
M
\t
0.00Turns calculator on.
0.00
0.00
12_Erases last character.
0.00Clears display.
0.00Clears 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
KeysAssociated Function
Clear display.
M
\N
Clear all memory.
]Oj
Clears bond memory.
At a Glance...2
Table 1-2 Clearing functions
KeysAssociated 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
KeysDescription
Percent
§
\¨
Percent change
À
¼
®
Ã
Add 15% to 17.50.
Table 1-4 Calculating the price
KeysDisplayDescription
Jj7V:1
JV§4
Cost
Price
Margin
Markup
17.50Enters number.
20.13Adds 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
KeysDisplayDescription
JVÀ
15. 00E n ter s cos t.
GG¼
22.00Enters price.
®
31. 82C 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
KeysDisplayDescription
20.00Enters cost.
G:À
DDÃ
33.00Enters markup.
¼
26.60Calculates price.
For more information on percentages, refer to chapter 3, Business Percentages.
Memory Keys
Table 1-7 Memory keys
KeysDescription
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
KeysDisplayDescription
JjPjª
7.0 0St ore s ‘ × 7’ as a
119.00Multiplies 17 × 7.
4
154.00Multiplies 22 × 7.
GG4
175.00Multiplies 25 × 7.
GV4
Store 519 in register 2, then recall it.
Table 1-9 Storing and recalling
KeysDisplayDescription
519.00Stores 519 in register 2.
VJd\wG
0.00Clears display.
M
519.0 0Re 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
KeysDisplayDescription
J7GV
\w7V
D\w17V
1. 25In p ut s 1. 25 i nt o t he
display.
Stores 1.25 in register
15 .
3.00Adds 3 to 1.25 in
register 15 stores the
result in register 15.
0.00Clears the display.
M
v7V
4.25Recalls 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
KeysDescription
]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
KeysDisplayDescription
]OJ
\¯ if BEGIN annunciator is displayed.
TVM CLR (message flashes, then
disappears)
12.00Sets payments per year.
Clears TVM memory and
displays the current P_YR.
JG\Í
DS:Ù
360.00Enters number of payments.
J:Ò
10.00Enters interest per year.
JY:::Ï
14,000.00Enters present value.
At a Glance...6
Table 1-12 Calculating the monthly payment
KeysDisplayDescription
:É
0.00Enters 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
KeysDisplayDescription
J::yÌ
Ï
...how much can you borrow at a 9.5% interest rate?
-122.86Calculates payment if paid
at end of period.
-100.00Enters new payment
amount. (Money paid out is
negative).
11,395.08Calculates amount you can
borrow.
Table 1-14 Calculating a new interest rate
KeysDisplayDescription
9.50Enters new interest rate.
d7VÒ
Ï
J:Ò
JY:::Ï
11,892.67Calculates new present
value for 100.00 payment
and 9.5% interest.
10.00Reenters original interest
rate.
14,000.00Reenters original present
value.
-122.86Calculates 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 \Ê. Press \Ê 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
KeysDisplayDescription
G:Æ
20.00Enters period to amortize.
20 – 20Displays period to amortize.
\Ê
-7.25Displays principal.
4
-115. 61D is pl ays in teres t. ( Mo ney
4
13,865.83Displays the balance
4
Amortize the 1st through 24th loan payments.
Table 1-16 Amortization example
KeysDisplayDescription
12_Enters range of periods to
JÆJG
paid out is negative).
amount.
amortize.
\Ê
1 – 12Displays range of periods
(payments).
-77.82Displays principal.
4
4
4
-1,396.5 0Di sp lays i nt ere st. (M on ey
paid out is negative).
13,922.18Displays the balance
amount.
13 – 24Displays range of periods.
\Ê
4
-85.96Displays principal.
At a Glance...8
Table 1-16 Amortization example
KeysDisplayDescription
4
-1,388.36Displays 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
KeysDescription
Expected useful life of the asset.
13,836.22Displays 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
KeysDisplayDescription
10,000.00Inputs cost of the item.
J::::Ï
V::É
500.00Inputs the salvage value of the
item.
5.00Inputs the useful life of the asset.
VÙ
J]{
1,900.00Depreciation of the asset in year
one.
At a Glance...
9
Table 1-18 Calculating the depreciation
KeysDisplayDescription
\«
G]{
\«
For more information on depreciation, refer to chapter 7, Depreciation.
7,600.00Remaining depreciable value
after year one.
1,900.00Depreciation of the asset in year
two.
5,700.00Remaining 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
KeysDescription
Nominal interest percent.
\Ó
\Ð
Effective interest percent.
\Í
Periods per year.
Find the annual effective interest rate of 10% nominal interest compounded monthly.
Table 1-20 Calculating the interest rate
KeysDisplayDescription
10.00Enters nominal rate.
J:\Ó
JG\Í
12.00Enters payments per year.
\Ð
For more information on interest rate conversions, refer to the section titled, Interest Rate
Conversions in chapter 6, Time Value of Money Calculations.
10.47Calculates annual effective
interest.
At a Glance...10
Cash Flows, IRR/YR, NPV, and NFV
Table 1-21 Cash flows, IRR, NPV, and NFV keys
KeysDescription
]O:
\Í
¤
number1
Æ number 2 ¤
v¤
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
KeysDisplayDescription
]O:
JG\Í
Y::::y¤
Yj::¤
j:::ÆG¤
GD:::¤
v¤
CFLO CLR
(message flashes, then
disappears)
12.00Sets 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 -40,000.00Reviews 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.
\Á
15 . 9 6C a l c u l a t e s IRR/YR.
1. 3 3C 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
KeysDisplayDescription
10.0 0Ent er s I/YR.
J:Ò
622.85Calculates NPV.
\½
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
KeysDisplayDescription
\½\«
643.88Calculates 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
KeysDescription
]È
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
\Ä
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 ]Å. If D.MY is displayed, press ]È.
Table 1-25 Calculating the date
KeysDisplayDescription
G7GgG:J:
2.28Inputs 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 3Inputs 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,
]Ñ and ]Ô. 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
KeysDescription
]Oj
]Û
]Ô
]Ñ
]Î
]Ë
]È
]Å
]Â
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]Èto 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.
]Âto select the semiannual coupon payment.
Table 1-27 Bond calculation
KeysDisplayDescription
]Oj
Y7GgG:J:
]¾
S7:YG:G:
]°
S7jV]Î
J::]Ë
Y7jV]Ô
]Ñ
BOND CLR (message
flashes, then disappears)
4-28-2010 3Inputs the settlement date
6-4-2020 4Inputs the maturity date.
6.75Inputs CPN%.
100.00Inputs call value. Optional,
4.75Inputs Yield%.
115.89Calculates 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.
2.69Displays the current value
for accrued interest.
118.59Returns 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
KeysDescription
]OY
Clears break-even memory.
]¬
Stores the quantity of units required for a given
profit or calculates it.