Home > HP > Calculator > HP 12c Owners Manual

HP 12c Owners Manual

    Download as PDF Print this page Share this page

    Have a look at the manual HP 12c Owners Manual online for free. It’s possible to download the document as PDF or print. UserManuals.tech offer 1114 HP manuals and user’s guides for free. Share the user manual or guide on Facebook, Twitter or Google+.

    							 
    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 and y represent the number in the X- and Y-registers, respectively, when 
    the operation key is pressed. 
    Error 0: Mathematics 
    Operation Condition 
    z
     
    x = 0 
    y
     
    x = 0 
    r
     
    x < 0 
    °
     
    x 
    ≤ 0 
    q
     
    y = 0 and x 
    ≤ 0 
     
    y < 0 and x is noninteger. 
    à
     
    y = 0 
    Z
     
    y = 0 
    ?z
    (0 through 4) x = 0 
    e
     
    x is noninteger 
     
    x < 0  
    						
    							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
    Σx
    2  – (
    Σx)2 = 0 
    Q
     
    n = 0 
    n
    Σy
    2 – (
    Σy)2 = 0 
    R~ 
    Q~
     
     [n
    Σx
    2 – (
    Σx)2][n
    Σy2 – (
    Σy)2] 
    ≤ 0 
    Error 3: IRR 
    Refer to Appendix B. 
    Error 4: Memory 
    z Attempting to enter more than 99 program lines. 
    z Attempting to i to a program line that does not exist. 
    z Attempting storage register arithmetic in R5 through R9 or R.0 through R.9.  
    						
    							  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 
    ≤ 0 
    n > 10
    10 
    x 
    ≤ 0 
    x is noninteger 
    Error 6: Storage Registers 
    Operation Condition 
    ? 
    :
     
     Storage register specified does not exist or has 
    been converted to program lines. 
    K 
    a
     
     n specifies a storage register that does not exist 
    or has been converted to program lines. 
    l 
    L
     
     n > 20 
    n > r (as defined by N
    ) 
    n < 0 
    n is noninteger 
    a
     
    x > 99 
    x < 0 
    x is noninteger  
    						
    							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 earlier than settlement date. 
     
    Maturity date has no corresponding coupon date 
    (6 months earlier).
    * 
    Error 9: Service 
    Refer to Appendix E. 
    Pr Error 
    z Continuous Memory has been reset. (Refer to Continuous Memory, page 
    70.) 
    z You have reset the calculator using the reset hole (see page 194). 
                                                     
    *  This is the case for the 31st of March, May, August, October, and December, plus August 29 
    (except in a leap year) and 30. For example, there is no September 31, so March 31 has no 
    corresponding coupon date 6 months earlier. 
      To correct this problem for all maturity dates except August 29 and 30, add one day to both 
    the settlement date and the maturity date in your calculations. For instance, if a bond were 
    purchased on June 1, 2004 (the settlement date) with a maturity date of December 31, 2005, 
    you should change the dates to June 2, 2004 and January 1, 2006 for your calculations. 
      For August 29 and 30, there is no calculator solution that gives the correct answer.  
    						
    							 
    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  = payment mode factor (0 or 1) indicating treatment of PMT.  
    0 corresponds to End, 1 to Begin. 
    I  = interest amount. 
    INTG (n)  = integer portion of n. 
    FRAC (n)  = fractional portion of n. 
    Simple Interest 
    i PV n
    I× × =
    360360 
    i PV n
    I× × =
    365365  
    						
    							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(
    ) FRAC() 1 () 1 ( 1
    ) 1 ( ) 1 ( 0nn
    ni FVi i
    PMT iS i PV−−++
    ⎥ ⎥
    ⎦ ⎤
    ⎢ ⎢
    ⎣ ⎡
    + −
    + + + =
     
    Amortization 
    n= number of payment periods to be amortized. 
    INT
    j= amount of PMT applied to interest in period j. 
    PRN
    j= amount of PMT applied to principal in period j. 
    PV
    j= present value (balance) of loan after payment in period j. 
    j= period number. 
    INT
    1= {0 if n = 0 and payment mode is set to Begin. 
    |PV
    0 × i|RND (sign of PMT) 
    PRN
    1= PMT – INT1 
    PV
    1= PV0 + PRN1 
    INT
    j= |PVj –1 × i|RND × (sign of PMT) for j > 1. 
    PRN
    j= PMT – INTj 
    PV
    j= PVj –1 + PRNj 
     
    ∑ ∑=+ + + = =n
    n jINT INT INT INT INT1 j2 1... 
    ∑ ∑=+ + + = =n
    n jPRN PRN PRN PRN PRN1 j2 1... 
    ∑+ =PRN PV PVn
    0  
    						
    							  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 IRR
    IRRIRR
    CFj q jnq
    k
    jn
    j
    +
    ⎥
    ⎦ ⎤
    ⎢
    ⎣ ⎡
    + ⋅
    ⎥ ⎥
    ⎦ ⎤
    ⎢ ⎢
    ⎣ ⎡
    + −
    ⋅ =∑ −
    =− 2 
    x = INTG (0.4mm + 2.3) 
    z = (yyyy) 
    INTG = Integer portion. 
    Note:
     Additional tests are performed in order to ensure that the century (but 
    not millennium) years are not considered leap years. 
    30/360 Day Basis 
    DAYS = f(DT2) – f(DT1) 
    f(DT) = 360 (yyyy) + 30mm + z 
    for f(DT
    1) 
    if dd
    1 = 31 then z = 30 
    if dd
    1 ≠ 31 then z = dd1 for f(DT2) 
    if dd
    2 = 31 and dd1 = 30 or 31 then z = 30 
    if dd
    2 = 31 and dd1 < 30 then z = dd2 if dd2 < 31 then z = dd2  
    						
    							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 coupon period where settlement occurs. 
    DSC= E – DCS = days from settlement date to next 6–month coupon 
    date. 
    N= number of semiannual coupons payable between settlement 
    date and maturity date. 
    CPN= annual coupon rate (as a percentage). 
    YIELD= annual yield (as a percentage). 
    PRICE= dollar price per $100 par value. 
    RDV= redemption value. 
    For semiannual coupon with 6 months or less to maturity: 
    ⎥
    ⎦ ⎤
    ⎢
    ⎣ ⎡
    × −
    ⎥ ⎥ ⎥
    ⎥
    ⎦ ⎤
    ⎢ ⎢ ⎢
    ⎢
    ⎣ ⎡
    × ++
    =
    2
    )
    2 ( 100)
    2 ( 100
    CPN
    E DCS
    YIELD
    E DSMCPN
    RDV
    PRICE 
    For semiannual coupon with more than 6 months to maturity: 
    ⎥
    ⎦ ⎤
    ⎢
    ⎣ ⎡
    × −
    ⎥ ⎥ ⎥ ⎥ ⎥ ⎥
    ⎦ ⎤
    ⎢ ⎢ ⎢ ⎢ ⎢ ⎢
    ⎣ ⎡
    ⎟
    ⎠ ⎞
    ⎜
    ⎝ ⎛
    + +⎥ ⎥ ⎥ ⎥
    ⎥
    ⎦ ⎤
    ⎢ ⎢ ⎢ ⎢
    ⎢
    ⎣ ⎡
    ⎟
    ⎠ ⎞
    ⎜
    ⎝ ⎛
    + =∑=+ − + −E DCS CPN
    YIELDCPN YIELDRDV
    PRICE
    N
    K
    E DSC
    KE DSC
    N
    2
    200 12 200 111 1
      
    						
    							  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  = remaining book value = RBVj–1 – DPNj where RBV0 = SBV 
    Y
    1  = number of months in partial first year. 
     
    Straight-Line Depreciation 
    Keyboard function: 
    LSAL SBV
    DPNJ−
    = for j = 1, 2, …, L 
    Program for partial first year: 
    12
    1
    1Y
    LSAL SBV
    DPN⋅ −
    = 
    LSAL SBV
    DPNJ−
    = for j = 2, 3, …, L 
    DPN
    L + 1 = RDVL 
    Sum-of-the-Years-Digits Depreciation 
    2) 2 )( 1 (
    FWWSOYDk++
    = 
    where W = integer part of k 
      F = fractional part of k. 
    (i.e., for k = 12.25 years, W = 12 and F = 0.25). 
    Keyboard function: 
    ) ( ) 1 (SAL SBV
    SOYDj L
    DPN
    L 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 FACT
    SBV DPN⋅ ⋅ = 
    L FACT
    RBV DPNj j1001⋅ =− for j ≠ 1 
    Modified Internal Rate of Return 
    n= number of compounding periods. 
    NFV
    P= Net future value of the positive cash flows.   
    NPV
    N= Net present value of the negative cash flows. 
    ⎥ ⎥ ⎥
    ⎦ ⎤
    ⎢ ⎢ ⎢
    ⎣ ⎡
    −
    ⎟ ⎟
    ⎠ ⎞
    ⎜ ⎜
    ⎝ ⎛
    − =1 100
    1
    n
    N P
    NPV NFV
    MIRR 
    Advance Payments 
    A= number of payments made in advance. 
    ⎥ ⎥
    ⎦ ⎤
    ⎢ ⎢
    ⎣ ⎡
    + + −+ −
    =
    − −−
    A
    iii FV PV
    PMT
    A nn
    ) () 1 ( 1) 1 (  
    						
    All HP manuals Comments (0)

    Related Manuals for HP 12c Owners Manual