HP 12c Owners Manual

 
181 
File name: hp 12c_users guide_English_HDPMBF12E44  Page: 181 of 209   
Printered Date: 2005/7/29    Dimension: 14.8 cm x 21 cm 
  Appendix C 
Error Conditions 
Some calculator operations cannot be performed under certain conditions (for 
example, z
 when x = 0). If you attempt such an operation under these conditions, 
the calculator will display the word Error
 followed by a digit, 0
 through 9
. Listed 
below are operations that cannot be performed under the conditions specified. The 
symbols x...

182  Appendix C: Error Conditions 
 
File name: hp 12c_users guide_English_HDPMBF12E44  Page: 182 of 209   
Printered Date: 2005/7/29    Dimension: 14.8 cm x 21 cm 
 
Error 1: Storage Register Overflow 
Operation Condition 
?+
(0 through 4) 
?-
(0 through 4) 
?§
(0 through 4) 
?z
(0 through 4) 
A
 
 Magnitude of result is greater than 
9.999999999×10
99. 
Error 2: Statistics 
Operation Condition 
Ö
 
n (number in R
1) = 0 

 
Σx = 0 
v
 
n = 0 
n = 1 
n
Σx
2 – (
Σx)2< 0 
n
Σy2 – (
Σy)2< 0 
R
 
n = 0 
n...

  Appendix C: Error Conditions  183   
 
File name: hp 12c_users guide_English_HDPMBF12E44  Page: 183 of 209   
Printered Date: 2005/7/29    Dimension: 14.8 cm x 21 cm 
 
Error 5: Compound Interest 
Operation Condition 
n
 
PMT 
≤ –PV × i 
PMT = FV × i 
i 
≤ –100 
The values in i, PV, and FV are such that no 
solution exists for n. 
¼
 
PMT = 0 and n < 0 
Cash flows all have same sign. 
$
 
i 
≤ –100 
P
 
n = 0 
i = 0 
i 
≤ –100 
M
 
i 
≤ –100 
!
 
x 
≤ 0 
x is noninteger. 
l
 
i 
≤ –100 
V 
Ý 
#
 
 n 
≤...

184  Appendix C: Error Conditions 
 
File name: hp 12c_users guide_English_HDPMBF12E44  Page: 184 of 209   
Printered Date: 2005/7/29    Dimension: 14.8 cm x 21 cm 
 
Error 7: IRR 
Refer to Appendix B. 
Error 8: Calendar 
Operation Condition 
Ò 
D
 
 Improper date format or illegal date. 
D
 
Attempting to add days beyond calculator’s date 
capacity. 
E 
S
 
 Improper date format or illegal date. 
 
More than 500 years between settlement 
(purchase) date and maturity (redemption) date. 
 
Maturity date...

 
185 
File name: hp 12c_users guide_English_HDPMBF12E44  Page: 185 of 209   
Printered Date: 2005/7/29    Dimension: 14.8 cm x 21 cm 
  Appendix D
 
Formulas Used 
Percen t ag e  
100) Rate( ) Base(
%x y×
= 
⎟ ⎟
⎠ ⎞
⎜ ⎜
⎝ ⎛
−
= ∆
) Base() Base( ) NewAmount(
100 %yy x 
⎟ ⎟
⎠ ⎞
⎜ ⎜
⎝ ⎛
=
) Total() Amount(
100 %Tyx 
Interest 
n  = number of compounding periods. 
i  = periodic interest rate, expressed as a decimal. 
PV  = present value. 
FV  = future value or balance. 
PMT   = periodic payment. 
S  =...

186  Appendix D: Formulas Used 
 
File name: hp 12c_users guide_English_HDPMBF12E44  Page: 186 of 209   
Printered Date: 2005/7/29    Dimension: 14.8 cm x 21 cm 
 
Compound Interest 
Without an odd period: 
n ni FV
ii
PMT iS PV− −+ +
⎥ ⎥
⎦ ⎤
⎢ ⎢
⎣ ⎡
+ −
⋅ ⋅ + + =) 1 ( ) 1 ( 1
) 1 ( 0 
With simple interest used for an odd period: 
) ( INTG) INTG() 1 () 1 ( 1
) 1 ( ] ) FRAC( 1 [ 0nni FVi i
PMT iS n i PV−−++
⎥ ⎥
⎦ ⎤
⎢ ⎢
⎣ ⎡
+ −
+ + + =
 
With compound interest used for an odd period: 
) ( INTG) INTG(
)...

  Appendix D: Formulas Used  187 
 
File name: hp 12c_users guide_English_HDPMBF12E44  Page: 187 of 209   
Printered Date: 2005/7/29    Dimension: 14.8 cm x 21 cm 
 
Discounted Cash Flow Analysis 
Net Present Value 
NPV  = net present value of a discounted cash flow. 
CF
j = cash flow at period j. 
n ni CF
i CF
i CF
CF NPV
) 1 ( ...
) 1 ( ) 1 (2 2
1 1
0+ + +
+ +
+ + = 
Internal Rate of Return 
n  = number of cash flows 
CF
j  = cash flow at period j. 
IRR  = Internal Rate of Return 
0
1) 1 ( ) 1 ( 1
0CF...

188  Appendix D: Formulas Used 
 
File name: hp 12c_users guide_English_HDPMBF12E44  Page: 188 of 209   
Printered Date: 2005/7/29    Dimension: 14.8 cm x 21 cm 
 
Bonds 
Reference: 
Spence, Graudenz, and Lynch, Standard Securities Calculation Methods, 
Securities Industry Association, New York, 1973. 
DIM= days between issue date and maturity date. 
DSM= days between settlement date and maturity date. 
DCS= days between beginning of current coupon period and 
settlement date. 
E= number of days in...

  Appendix D: Formulas Used  189 
 
File name: hp 12c_users guide_English_HDPMBF12E44  Page: 189 of 209   
Printered Date: 2005/7/29    Dimension: 14.8 cm x 21 cm 
 
Depreciation 
L  = asset’s useful life expectancy. 
SBV  = starting book value. 
SAL  = salvage value. 
FACT  = declining-balance factor expressed as a percentage. 
j = period number. 
DPN
j  = depreciation expense during period j. 
RDV
j  = remaining depreciable value at end of period j  
= RDV
j–1 – DPNj where RDV0 = SBV – SAL 
RBV
j  =...

190  Appendix D: Formulas Used 
 
File name: hp 12c_users guide_English_HDPMBF12E44  Page: 190 of 209   
Printered Date: 2005/7/29    Dimension: 14.8 cm x 21 cm 
 
Program for partial year: 
) (
121
1SAL SBV Y
SOYDL
DPN− ⋅
⎟
⎠ ⎞
⎜
⎝ ⎛
⋅
⎟
⎠ ⎞
⎜
⎝ ⎛
= 
) ( 21SAL D SBV
SOYDj LADJ
DPN
LADJ j
− − ⋅
⎟ ⎟
⎠ ⎞
⎜ ⎜
⎝ ⎛
+ −
= for j ≠ 1 
where 
⎟
⎠ ⎞
⎜
⎝ ⎛
− =
121Y
L LADJ 
Declining-Balance Depreciation 
Keyboard function: 
L FACT
RBV DPNj j1001⋅ =− for j = 1, 2, …, L 
Program for partial first year: 
12 100
1
1Y
L...