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HP 12C Financial 12C manual Appendix E Formulas Used 250

Models: 12C Financial 12C

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Error 2: Statistics	246
Error 3: IRR	246
Error 4: Memory	246
Error 5: Compound Interest	247
Error 6: Storage Registers	248
Error 7: IRR	248
Error 8: Calendar	249
Error 9: Service	249
Pr Error	249
Appendix E: Formulas Used	250
Percentage	250
Interest	250
Simple Interest	250
Compound Interest	251
Amortization	251
Discounted Cash Flow Analysis	252
Net Present Value	252
Internal Rate of Return	252
Calendar	252
Actual Day Basis	252
30/360 Day Basis	252
Bonds	253
Black-Scholes Formula for Valuing European Options	254
Depreciation	254
Straight-Line Depreciation	255
Sum-of-the-Years-Digits Depreciation	255
Declining-Balance Depreciation	255
Modified Internal Rate of Return	256
Advance Payments	256
Interest Rate Conversions	256
Finite Compounding	256
Continuous Compounding	256
Statistics	257
Mean	257
Weighted Mean	257
Linear Estimation	257
Standard Deviation	257
Factorial	257
The Rent or Buy Decision	258
Appendix F: Battery, Warranty, and Service Information 259
Battery	259

File name: hp 12c pt_user's guide_English_HDPMF123E27	Page: 10 of 275
Printed Date: 2005/8/1	Dimension: 14.8 cm x 21 cm

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HP 12C Financial 12C manual Appendix E Formulas Used 250

Contents

Hp 12c platinum financial calculator Printing History Introduction About This HandbookFinancial Calculations in the United Kingdom For More Solutions to Financial ProblemsIntroduction Contents Contents SectionPart II Programming 103 Part III Solutions 155 227 Appendix E Formulas Used 250 267 Making Financial Calculations Easy 21,396.61 48.00500.00 14.0011,024.82 10,371.79168.00 42.03Part Problem Solving Adjusting the Display Contrast Power On and OffLow-Power Indication Getting StartedDigit Separators Getting StartedKeying in Numbers Negative NumbersBackspacing Keying in Large Numbers7814 123.63Clear Keys KeystrokesDisplay ALG mode63+ Keys ClearsRPN and ALG Keys RPN mode ALG modeUndo Operation ExampleKeystrokes RPN mode Display Simple Arithmetic Calculations in RPN Mode13.00 Simple Arithmetic Calculations in ALG Mode 22.95 Chain Calculations in RPN ModeKeystrokes RPN mode 35.3810.14 1053+ 30.00 42.00Chain Calculations in ALG Mode Parentheses CalculationsStorage Registers Keystrokes ALG mode 8zgØ5 1gÙ DisplayStoring and Recalling Numbers Keystrokes Display 1250?0 Later that same day … Keystrokes Display RPN mode250.00 500?2Storage Register Arithmetic Clearing Storage Registers58.33 053.00 13.7010.14 064.54Percentage Functions Percentages in RPN ModePercentage and Calendar Functions 300Percentages in ALG Mode Percentage and Calendar Functions283.40 860.0021,390.00 22,673.4058.50 Keystrokes ALG mode DisplayPercent Difference 53.25Percent of Total in RPN Mode 29.69Percent of Total in ALG Mode Calendar Functions Date FormatFuture or Past Dates 14.05 11,09,2004498.00 Number of Days Between Dates11.09 491.00Storing Numbers into the Financial Registers Basic Financial FunctionsFinancial Registers Displaying Numbers in the Financial RegistersBasic Financial Functions Simple Interest CalculationsClearing the Financial Registers 455.25 60.00450.00 455.18Financial Calculations and the Cash Flow Diagram Basic Financial Functions Payment Mode Cash Flow Sign ConventionGeneralized Cash Flow Diagrams Basic Financial Functions Compound Interest Calculations Calculating the Number of Payments or Compounding Periods35,000.00 Stores PV Sets the payment mode to End325.00 181.89 328.0027.33 143.11466.87 327.00141.87 Recalls payment amount50.00 GÂ n Keystrokes ALG mode775.00 Stores FV50.00 977.27 58.0029.00 4000Calculating the Periodic and Annual Interest Rates Keystrokes Display ALG mode 400022.73 10,000.00 Stores FVKeystrokes RPN mode Keystrokes ALG mode Calculating the Present Value9gC 450ÞP 1500+ 540,000.00 12.0017,500.00 369,494.09243,400.00 Stores PV 717.44 200.0060,000.00 Calculating the Future Value243400$ 243,400.00 1363.29ÞP -1,363.29 Sets payment mode to End5gA 222,975.98 Amount of balloon payment32,000.00 24.00281.34 28,346.96Odd-Period Calculations Basic Financial Functions 135.17 0120045gC Z30+ GÒ z30+ 950.00120.00 §12Basic Financial Functions 250,000.00 AmortizationKeystrokes Display FCLEAR G Enters 25 gC 250000 $ 245,029.09 498.12970.91 238.26360.00 093.75404.37 380.51Additional Financial Functions Discounted Cash Flow Analysis NPV and IRRAdditional Financial Functions Calculating Net Present Value NPVNegative cash flow 130,000.00 212.18Year Cash Flow 11,000.00 79,000.0014,000.00 10,000.00Calculating Internal Rate of Return IRR 13.72Reviewing Cash Flow Entries 100,000.00 500.00 14,000.00 79,000.00 Changing Cash Flow Entries644.75 857.21042018 Bond CalculationsBond Price 120.38122.13 Bond YieldTotal price, including accrued 1f# Depreciation Calculations400.00 2f#660.00 440.003f# Additional Operating Features Continuous MemoryDisplay Additional Operating FeaturesStatus Indicators Number Display Formats14.8746 14.9 14.87456320 Scientific Notation Display Format487456 1487456320Key in RPN Mode Special DisplaysArithmetic Calculations With Constants Recovering From Errors in Digit Entry 429,000.00Statistics Functions Accumulating StatisticsStatistics Functions Correcting Accumulated StatisticsMean Register Statistic38.00 32.0040.00 35.00820.59 Standard Deviation463.00 Keystrokes Display 48 gQ Linear Estimation28,818.93 Estimated sales for a 48 hour001 Keystrokes RPN mode 0gR DisplayKeystrokes ALG mode 0gR 1gR~d-~ Display GR~d~Weighted Mean One-Number Functions Mathematics Number-Alteration Functions100 258 Mathematics and Number-Alteration Functions3880000000 Power Function in ALG Mode Power Function in RPN ModeKeystrokes To CalculateDisplay ALG mode Part Programming Creating a Program Why Use Programs?Programming Basics 104150.00 Programming Basics200 155.00Running a Program 001 002 003 004 005 006 007159 625473.75 124.25Program Memory Identifying Instructions in Program LinesDisplaying Program Lines Nnn Nnn, 44Nnn,43,33,000 Instruction KeycodeSets calculator to Program Mode and displays current linePressing gÜdoes the reverse Keystrokes Display RPN mode Program memoryKeystrokes Display 008,43,33,000 Program line 000 Instruction and Program Line Expanding Program MemoryProgramming Basics Setting the Calculator to a Particular Program Line Executing a Program One Line at a TimeProgram line 004 b Program line 002Program line 003 Program line 006Program line 005 + Pausing During Program Execution Interrupting Program Execution68.5 119 Keystrokes RPN mode ?+1 ?+2 ?+3 Keystrokes ALG mode?+1 ?+2 ?+3 008 001 002004 005 006 001 002 003 004890.50 012, 44 40950.61 60.11Stopping Program Execution 402.82370.52 003,44 004 005 006FCLEAR² 13\68.5 18\72.9 24\85 Fourth item Simple Branching Branching and Looping125 Looping Branching and Looping150,000.00 007,43,33,002782.47 188.72 593.75593.75 005 188.72 007,43,33,002592.25 Conditional Branching190.22 Branching and Looping Recalls test value into X-register 006,43,33,008 004,43,33,007Stores income into register R9 010 006,43,33,009008,43,33,010 20,000.0015,000.00 007 15,000.0015,000.00 004,43,33,007 20,00025,000.00 20,000.00 00725,000 25,000.00 00515,000.00 006,43,33,009 15,00015,000.00 005 15,000.00 00920,000.00 009 012,43,33,000 Line 012 gi000 000.00005, 43 34 Line 005 go 20,000.00 Line 00925,000.00 007 25.00 010Changing the Instruction in a Program Line Program Editing139 Adding Instructions at the End of a Program Keystrokes RPN mode Keystrokes ALG mode Fs gi.006 DisplayProgram Editing 013 12,000.00012 014Adding Instructions by Replacement Adding Instructions within a ProgramFs 15000t 016 Adding Instructions by Branching011,43,33,000 Keystrokes RPN mode Fs gi.000001,43,33,012 Gi.010014 015,43,33,000 016 012 013017,43,33,002 018 019 017,43,33,000020 021,43,33,000 022 Program Editing Storing Another Program Multiple Programs149 023 024 025 026 018,43,33,000019 020 021 022 027,43,33,019029 030 031 032 025 026 027 028033,43,33,025 034 035 036 037 028 029 030 031032 033 034,43,33,029 038 039 040,43 33,035Running Another Program Page Part Solutions Annual Percentage Rate Calculations With Fees Real Estate and Lending156 908.46 Real Estate and Lending160,000.00 156,800.00159,250.00 156,050.00Price of a Mortgage Traded at a Discount or Premium Keystrokes Display RPN mode ALG mode 12§ §12³Keystrokes Display RPN mode ALG mode FCLEARG 72.00312.00 137.17777.61 657.97252.00 Yield of a Mortgage Traded at a Discount or Premium300,000.00 096.57 210.0018.00 Rent or Buy Decision258,377.24 12.11000 001 002 003 004,44 005 006 007 008 009 010 011 012 013 014 015 016 017 018 019 020 021RPN mode Registers Real Estate and Lending 900.00 165.00700.00 270,000.0046,048.61 Keystrokes Display RPN mode ALG mode YieldDeferred Annuities 15,218.35750.00 600.0012,831.75 Straight-Line Depreciation Investment AnalysisPartial-Year Depreciation 000 001 002 003 004 005 006 007 008 009 010 011032,44 012 013 014 015 016 017 018 019 020 021 022 023 024025,43 026 027 028 029 030 031 033,44036,44 036 037 038 039 040041,43,33 037,43,33Investment Analysis 123,333.33 125,000.00666.67 118,333.33Declining-Balance Depreciation 730.00504.75 000 001 002 003 004 005 006 007 008 009028,44 010 011 012 013 014 015 016 017 018 019 020021,43 022 023 024 025 026 027 029,44034 035 036 034 035 036 037 038 039 04050,000.00 11,458.33 Sum-of-the-Years-Digits Depreciation026 027 028 029 030 031 018 019 020 021 022 023 024025,43,33 035 036 037 038 039 040042 043 044 500M Keystrokes Display RPN mode ALG mode FCLEARG 12000$25n Full- and Partial-Year Depreciation with Crossover 008 009 010 011 012 013 014 008 009 010 011?-0 040,44 032,43,33033 034 035 036 037 038 039 041,44 042063,44 057,43,33058 059 060 061 062 064,43,33086 087 088 089 090 091 092 093 080,44 081 082 083 084085,43,33 094,43,33Keystrokes Display RPN mode ALG mode FCLEAR H 11000 $ 406.25 375.00125.00 804.69312.50 Excess Depreciation10,500.00 531.25Modified Internal Rate of Return 657,152.37 Group # of Months Cash Flow $200,000.00 775,797.83Black-Scholes Formula for Valuing European Options Keystrokes Display Keystrokes Display 073,44 074 065 066 067 068 069 070071,43,33,077 075,44 076 077 078096,44 097 098 099 089 090 091092,44 093 094 095 089,44 090118,43,33 199113 114,44 115 116 117 Program Instructions14.22 52.0020.54 71.1510.00 20.00Solving for Payment LeasingAdvance Payments 20264.45 Leasing11.64 000 001008 009 010 011 012 013 014 015 016 017 008 009 010 011 012 013 014 015 016 017 018 01965.43 66.8623,200.00 Solving for Yield57.00 600 PAnnual yield as a 17.33002 003 004 005 006 007 008 009 010 011 012 013 014 015 016 Percentage19.48 Keystrokes ALG mode017,45,43 ? tAdvance Payments With Residual 018 019 020 021 022 023 024 025 026 027 028 029 030 487.29 15.0022,000.00 520.8134.00 710.0018.10 Nominal Rate Converted to Effective Rate Keystrokes Display RPN mode ALG mode FCLEARG 25\ 25z 4nz¼Savings 213002 003 004 005 006 007 008 Savings002 003 004 005 006 007 008 009 010 Effective Rate Converted to Nominal Rate ³ÞM¼105.35 Keystrokes Display RPN mode ALG mode FCLEAR G N100 $Continuous Rate Converted to Effective Rate 35 +Þ +5.35 ³Þ001 002 003 004 005 006 007 008 009 010 011 012 013 Bonds30/360 Day Basis Bonds 217038,43,33 014 015 016 017 018 019 020 021 022 023 024 025 026 027029 030 031 032 033 034 035 036 037 014 015 016 017 018 019 020 021 022 023 024 025 026 027 028040,43,33 039 040 041 042 043 044 045 046Bonds 219 041 042 043 044 045 046 047 048 049102.55 103.41 104.74Annual Coupon Bonds 223 20 ?0 12.01 94.75Page Appendices RPN and the Stack 228Getting Numbers Into the Stack The Key Appendix a RPN and the StackStack Lift Rearranging Numbers in the StackTermination of Digit Entry KeyTwo-Number Functions and the Stack One-Number Functions and the StackMathematics Functions Percentage Functions Calendar and Financial Functions RegisterLast X Register and the Key Arithmetic Calculations with Constants + 5 6 +336,000.00 84,000168,000.00 672,000.00Algebraic Mode ALG 237Keying in Negative Numbers Appendix B Algebraic Mode ALG532.50 400.43 737.07 Key in ALG ModeHistory Stack in ALG Mode 18.5 §8zgØ 1250+7b To Calculate Keystrokes Display ALG mode Power FunctionPercent of Total More About L 243Appendix C More About L Error 0 Mathematics Error Conditions245 Error 3 IRR Error 1 Storage Register OverflowError 2 Statistics Error 4 MemoryError 5 Compound Interest OperationConditionError 7 IRR Error 6 Storage RegistersOperation Condition Error 9 Service Error 8 CalendarPr Error Interest Formulas UsedPercentage Simple InterestAppendix E Formulas Used Compound InterestDiscounted Cash Flow Analysis CalendarBonds 200Depreciation DPN J Finite Compounding Interest Rate ConversionsContinuous Compounding Linear Estimation Weighted MeanStatistics Standard DeviationRent or Buy Decision Low-Power Indication Battery, Warranty, Service InformationBattery 259Appendix F Battery, Warranty, and Service Information Installing a New BatteryVerifying Proper Operation Self-Tests Appendix F Battery, Warranty, and Service Information Warranty Service Regulatory Information USACanada Temperature SpecificationsNoise Declaration JapanMortgages United Kingdom Calculations267 Annual Percentage Rate APR Calculations Appendix G United Kingdom Calculations269 Financial Function Key IndexStatistics Number Alteration ModesMathematics Stack Rearrangement272 Programming Key Index Run Mode Active KeysPressed from Keyboard Subject Index 274Subject Index Subject Index Subject Index Subject Index