HP 12C Financial 12C manual Simple Interest Calculations, Basic Financial Functions

Page 42

42 Section 3: Basic Financial Functions

Clearing the Financial Registers

Every financial function uses numbers stored in several of the financial registers. Before beginning a new financial calculation, it is good practice to clear all of the financial registers by pressing fCLEARG. Frequently, however, you may want to repeat a calculation after changing a number in only one of the financial registers. To do so, do not press fCLEARG; instead, simply store the new number in the register. The numbers in the other financial registers remain unchanged.

The financial registers are also cleared when you press fCLEARH and when Continuous Memory is reset (as described on page 86).

Simple Interest Calculations

The hp 12c platinum simultaneously calculates simple interest on both a 360-day basis and a 365-day basis. You can display either one, as described below. Furthermore, with the accrued interest in the display, you can calculate the total amount (principal plus accrued interest) by pressing + in RPN mode or +~}in ALG mode.

1.Key in or calculate the number of days, then press n.

2.Key in the annual interest rate, then press ¼.

3.Key in the principal amount, then press Þ$.*

4.Press to calculate and display the interest accrued on a 360-day basis.

5.If you want to display the interest accrued on a 365-day basis, press d~.

6.In RPN mode, press + or in ALG mode, press +~} to calculate the total of the principal and the accrued interest shown in the display.

The quantities n, i, and PV can be entered in any order.

*Pressing the $ key stores the principal amount in the PV register, which then contains the present value of the amount on which interest will accrue. The Þ key is pressed first to change the sign of the principal amount before storing it in the PV register. This is required by the cash flow sign convention (see page 46), which is applicable primarily to compound interest calculations.

File name: hp 12c pt_user's guide_English_HDPMF123E27

Page: 42 of 275

Printed Date: 2005/8/1

Dimension: 14.8 cm x 21 cm

Image 42
Contents Hp 12c platinum financial calculator Printing History Introduction About This HandbookFor More Solutions to Financial Problems Financial Calculations in the United KingdomIntroduction 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 ExampleSimple Arithmetic Calculations in RPN Mode Keystrokes RPN mode Display13.00 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 CalculationsKeystrokes ALG mode 8zgØ5 1gÙ Display Storage RegistersStoring and Recalling Numbers Keystrokes Display 1250?0 Later that same day … Keystrokes Display RPN mode250.00 500?2Clearing Storage Registers Storage Register Arithmetic58.33 053.00 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 RegistersSimple Interest Calculations Basic Financial FunctionsClearing 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 PeriodsSets the payment mode to End 35,000.00 Stores PV325.00 181.89 328.0027.33 143.11466.87 327.00141.87 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 012004 135.175gC Z30+ GÒ z30+ 950.00120.00 §12Basic Financial Functions Amortization 250,000.00Keystrokes 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 120.38Bond Yield 122.13Total price, including accrued 1f# Depreciation Calculations400.00 2f#440.00 660.003f# 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 35.00Standard Deviation 820.59463.00 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 Mathematics Number-Alteration Functions One-Number Functions100 Mathematics and Number-Alteration Functions 2583880000000 Power Function in RPN Mode Power Function in ALG 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 Keystrokes RPN mode ?+1 ?+2 ?+3 Keystrokes ALG mode 119?+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 Branching and Looping Simple Branching125 Looping Branching and Looping007,43,33,002 150,000.00782.47 188.72 593.75593.75 005 188.72 007,43,33,002Conditional Branching 592.25190.22 Branching and Looping Recalls test value into X-register 004,43,33,007 006,43,33,008Stores 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 010Program Editing Changing the Instruction in a Program Line139 Keystrokes RPN mode Keystrokes ALG mode Fs gi.006 Display Adding Instructions at the End of a ProgramProgram 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.010012 013 014 015,43,33,000 016017,43,33,002 017,43,33,000 018 019020 021,43,33,000 022 Program Editing Multiple Programs Storing Another Program149 023 024 025 026 018,43,33,000019 020 021 022 027,43,33,019025 026 027 028 029 030 031 032033,43,33,025 034 035 036 037 028 029 030 031032 033 034,43,33,029 038 039 040,43 33,035Running Another Program Page Part Solutions Real Estate and Lending Annual Percentage Rate Calculations With Fees156 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 72.00312.00 137.17777.61 657.97Yield of a Mortgage Traded at a Discount or Premium 252.00300,000.00 096.57 210.0018.00 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 15,218.35600.00 750.0012,831.75 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 Keystrokes Display RPN mode ALG mode FCLEARG 12000$ 500M25n Full- and Partial-Year Depreciation with Crossover 008 009 010 011 008 009 010 011 012 013 014?-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 15.0022,000.00 520.81710.00 34.0018.10 Nominal Rate Converted to Effective Rate Keystrokes Display RPN mode ALG mode FCLEARG 25\ 25z 4nz¼Savings 213Savings 002 003 004 005 006 007 008002 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 KeyOne-Number Functions and the Stack Two-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 237Appendix B Algebraic Mode ALG Keying in Negative Numbers532.50 400.43 737.07 Key in ALG ModeHistory Stack in ALG Mode 18.5 §8zgØ 1250+7b Power Function To Calculate Keystrokes Display ALG modePercent of Total More About L 243Appendix C More About L Error Conditions Error 0 Mathematics245 Error 3 IRR Error 1 Storage Register OverflowError 2 Statistics Error 4 MemoryError 5 Compound Interest OperationConditionError 6 Storage Registers Error 7 IRROperation Condition Error 8 Calendar Error 9 ServicePr Error Interest Formulas UsedPercentage Simple InterestAppendix E Formulas Used Compound InterestDiscounted Cash Flow Analysis CalendarBonds 200Depreciation DPN J Interest Rate Conversions Finite CompoundingContinuous 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 JapanUnited Kingdom Calculations Mortgages267 Annual Percentage Rate APR Calculations Appendix G United Kingdom Calculations269 Function Key Index FinancialStatistics Number Alteration ModesMathematics Stack Rearrangement272 Run Mode Active Keys Programming Key IndexPressed from Keyboard Subject Index 274Subject Index Subject Index Subject Index Subject Index