72.00, 72n | HP 12C Financial 12C guide

Section 12: Real Estate and Lending 159

	Keystrokes	Keystrokes	Display
	(RPN mode)	(ALG mode)	Display
	(RPN mode)	(ALG mode)

	¼	¼	0.48
			0.48

	12§	§12³	5.73

Monthly interest rate (calculated).

Annual percentage rate.

Price of a Mortgage Traded at a Discount or Premium

Mortgages may be bought and/or sold at prices lower (discounted) or higher (at a premium) than the remaining balance of the loan at the time of purchase. Given the amount of the mortgage, the periodic payment, the timing and amount of the balloon or prepayment, and the desired yield rate, the price of the mortgage may be found. It should be noted that the balloon payment amount (if it exists) occurs coincident with, and does not include, the last periodic payment amount.

Information is entered as follows:

1.Press gÂand fCLEARG.

2.Key in the total number of periods until the balloon payment or prepayment occurs; press n. (If there is no balloon payment, key in total number of payments and press n.)

3.Key in the desired periodic interest rate (yield) and press ¼.

4.Key in the periodic payment amount; press P.*

5.Key in the balloon payment amount and press M.* (If there is no balloon payment, go to step 6.)

6.Press $to obtain the purchase price of the mortgage.

Example 1: A lender wishes to induce the borrower to prepay a low interest rate loan. The interest rate is 5% with 72 payments remaining of $137.17 and a balloon payment at the end of the sixth year of $2,000. If the lender is willing to discount the future payments at 9%, how much would the borrower need to prepay the note?

	Keystrokes	Keystrokes	Display
	(RPN mode)	(ALG mode)	Display
	(RPN mode)	(ALG mode)

	f]	f[

	gÂ	gÂ
	fCLEARG	fCLEARG	72.00
	72n	72n	72.00

Months (into n).

*Positive for cash received; negative for cash paid out.

File name: hp 12c pt_user's guide_English_HDPMF123E27	Page: 159 of 275
Printed Date: 2005/8/1	Dimension: 14.8 cm x 21 cm

Image 159

HP 12C Financial 12C manual Price of a Mortgage Traded at a Discount or Premium, 72.00, 72n

Contents

Hp 12c platinum financial calculator Printing History About This Handbook Introduction For More Solutions to Financial Problems Financial Calculations in the United KingdomIntroduction Contents Section Contents Part II Programming 103 Part III Solutions 155 227 Appendix E Formulas Used 250 267 Making Financial Calculations Easy 14.00 48.00500.00 21,396.61 42.03 10,371.79168.00 11,024.82 Part Problem Solving Getting Started Power On and OffLow-Power Indication Adjusting the Display Contrast Negative Numbers Getting StartedKeying in Numbers Digit Separators 123.63 Keying in Large Numbers7814 Backspacing Keys Clears KeystrokesDisplay ALG mode63+ Clear Keys Example RPN mode ALG modeUndo Operation RPN and ALG Keys Simple Arithmetic Calculations in RPN Mode Keystrokes RPN mode Display13.00 Simple Arithmetic Calculations in ALG Mode 35.38 Chain Calculations in RPN ModeKeystrokes RPN mode 22.95 10.14 1053+ 42.00 30.00 Parentheses Calculations Chain Calculations in ALG Mode Keystrokes ALG mode 8zgØ5 1gÙ Display Storage RegistersStoring and Recalling Numbers 500?2 Later that same day … Keystrokes Display RPN mode250.00 Keystrokes Display 1250?0 Clearing Storage Registers Storage Register Arithmetic58.33 064.54 13.7010.14 053.00 300 Percentages in RPN ModePercentage and Calendar Functions Percentage Functions Percentage and Calendar Functions Percentages in ALG Mode 22,673.40 860.0021,390.00 283.40 53.25 Keystrokes ALG mode DisplayPercent Difference 58.50 29.69 Percent of Total in RPN Mode Percent of Total in ALG Mode Date Format Calendar Functions Future or Past Dates 11,09,2004 14.05 491.00 Number of Days Between Dates11.09 498.00 Displaying Numbers in the Financial Registers Basic Financial FunctionsFinancial Registers Storing Numbers into the Financial Registers Simple Interest Calculations Basic Financial FunctionsClearing the Financial Registers 455.18 60.00450.00 455.25 Financial Calculations and the Cash Flow Diagram Basic Financial Functions Cash Flow Sign Convention Payment Mode Generalized Cash Flow Diagrams Basic Financial Functions Calculating the Number of Payments or Compounding Periods Compound Interest Calculations Sets the payment mode to End 35,000.00 Stores PV325.00 143.11 328.0027.33 181.89 Recalls payment amount 327.00141.87 466.87 Stores FV GÂ n Keystrokes ALG mode775.00 50.00 4000 58.0029.00 50.00 977.27 10,000.00 Stores FV Keystrokes Display ALG mode 400022.73 Calculating the Periodic and Annual Interest Rates Calculating the Present Value Keystrokes RPN mode Keystrokes ALG mode 9gC 450ÞP 1500+ 369,494.09 12.0017,500.00 540,000.00 243,400.00 Stores PV Calculating the Future Value 200.0060,000.00 717.44 222,975.98 Amount of balloon payment Sets payment mode to End5gA 243400$ 243,400.00 1363.29ÞP -1,363.29 28,346.96 24.00281.34 32,000.00 Odd-Period Calculations Basic Financial Functions 012004 135.175gC Z30+ §12 950.00120.00 GÒ z30+ Basic Financial Functions Amortization 250,000.00Keystrokes Display FCLEAR G Enters 25 gC 250000 $ 238.26 498.12970.91 245,029.09 380.51 093.75404.37 360.00 Discounted Cash Flow Analysis NPV and IRR Additional Financial Functions Calculating Net Present Value NPV Additional Financial Functions Negative cash flow 212.18 130,000.00 Year Cash Flow 10,000.00 79,000.0014,000.00 11,000.00 13.72 Calculating Internal Rate of Return IRR Reviewing Cash Flow Entries Changing Cash Flow Entries 100,000.00 500.00 14,000.00 79,000.00 857.21 644.75 120.38 Bond CalculationsBond Price 042018 Bond Yield 122.13Total price, including accrued 2f# Depreciation Calculations400.00 1f# 440.00 660.003f# Continuous Memory Additional Operating Features Number Display Formats Additional Operating FeaturesStatus Indicators Display Scientific Notation Display Format 14.8746 14.9 14.87456320 1487456320 487456 Special Displays Key in RPN Mode Arithmetic Calculations With Constants 429,000.00 Recovering From Errors in Digit Entry Accumulating Statistics Statistics Functions Register Statistic Correcting Accumulated StatisticsMean Statistics Functions 35.00 32.0040.00 38.00 Standard Deviation 820.59463.00 Estimated sales for a 48 hour Linear Estimation28,818.93 Keystrokes Display 48 gQ GR~d~ Keystrokes RPN mode 0gR DisplayKeystrokes ALG mode 0gR 1gR~d-~ Display 001 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 104 Why Use Programs?Programming Basics Creating a Program 155.00 Programming Basics200 150.00 001 002 003 004 005 006 007 Running a Program 124.25 625473.75 159 Identifying Instructions in Program Lines Program Memory Instruction Keycode Nnn Nnn, 44Nnn,43,33,000 Displaying Program Lines Program memory Mode and displays current linePressing gÜdoes the reverse Keystrokes Display RPN mode Sets calculator to Program Keystrokes Display 008,43,33,000 Program line Expanding Program Memory 000 Instruction and Program Line Programming Basics Executing a Program One Line at a Time Setting the Calculator to a Particular Program Line Program line 006 Program line 002Program line 003 Program line 004 b Program line 005 + Interrupting Program Execution Pausing During Program Execution 68.5 Keystrokes RPN mode ?+1 ?+2 ?+3 Keystrokes ALG mode 119?+1 ?+2 ?+3 001 002 003 004 001 002004 005 006 008 60.11 012, 44 40950.61 890.50 003,44 004 005 006 402.82370.52 Stopping Program Execution FCLEAR² 13\68.5 18\72.9 24\85 Fourth item Branching and Looping Simple Branching125 Branching and Looping Looping 007,43,33,002 150,000.00782.47 188.72 007,43,33,002 593.75593.75 005 188.72 Conditional 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 20,000.00 006,43,33,009008,43,33,010 010 20,000 15,000.0015,000.00 004,43,33,007 15,000.00 007 25,000.00 005 20,000.00 00725,000 25,000.00 15,000.00 009 15,00015,000.00 005 15,000.00 006,43,33,009 Line 009 012,43,33,000 Line 012 gi000 000.00005, 43 34 Line 005 go 20,000.00 20,000.00 009 25.00 010 25,000.00 007 Program 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 014 12,000.00012 013 Adding Instructions within a Program Adding Instructions by Replacement Fs 15000t Adding Instructions by Branching 016 Gi.010 Keystrokes RPN mode Fs gi.000001,43,33,012 011,43,33,000 012 013 014 015,43,33,000 016017,43,33,002 017,43,33,000 018 019020 021,43,33,000 022 Program Editing Multiple Programs Storing Another Program149 027,43,33,019 018,43,33,000019 020 021 022 023 024 025 026 025 026 027 028 029 030 031 032033,43,33,025 038 039 040,43 33,035 028 029 030 031032 033 034,43,33,029 034 035 036 037 Running Another Program Page Part Solutions Real Estate and Lending Annual Percentage Rate Calculations With Fees156 156,800.00 Real Estate and Lending160,000.00 908.46 156,050.00 159,250.00 72.00 Keystrokes Display RPN mode ALG mode 12§ §12³Keystrokes Display RPN mode ALG mode FCLEARG Price of a Mortgage Traded at a Discount or Premium 657.97 137.17777.61 312.00 Yield of a Mortgage Traded at a Discount or Premium 252.00300,000.00 210.00 096.57 12.11 Rent or Buy Decision258,377.24 18.00 008 009 010 011 012 013 014 015 016 017 018 019 020 021 000 001 002 003 004,44 005 006 007 RPN mode Registers Real Estate and Lending 270,000.00 165.00700.00 900.00 15,218.35 Keystrokes Display RPN mode ALG mode YieldDeferred Annuities 46,048.61 600.00 750.0012,831.75 000 001 002 003 004 005 006 007 008 009 010 011 Investment AnalysisPartial-Year Depreciation Straight-Line Depreciation 033,44 012 013 014 015 016 017 018 019 020 021 022 023 024025,43 026 027 028 029 030 031 032,44 037,43,33 036 037 038 039 040041,43,33 036,44 Investment Analysis 118,333.33 125,000.00666.67 123,333.33 000 001 002 003 004 005 006 007 008 009 730.00504.75 Declining-Balance Depreciation 029,44 010 011 012 013 014 015 016 017 018 019 020021,43 022 023 024 025 026 027 028,44 034 035 036 037 038 039 040 034 035 036 50,000.00 Sum-of-the-Years-Digits Depreciation 11,458.33 035 036 037 038 039 040 018 019 020 021 022 023 024025,43,33 026 027 028 029 030 031 042 043 044 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?-0 041,44 042 032,43,33033 034 035 036 037 038 039 040,44 064,43,33 057,43,33058 059 060 061 062 063,44 094,43,33 080,44 081 082 083 084085,43,33 086 087 088 089 090 091 092 093 Keystrokes Display RPN mode ALG mode FCLEAR H 11000 $ 804.69 375.00125.00 406.25 531.25 Excess Depreciation10,500.00 312.50 Modified Internal Rate of Return 775,797.83 Group # of Months Cash Flow $200,000.00 657,152.37 Black-Scholes Formula for Valuing European Options Keystrokes Display Keystrokes Display 075,44 076 077 078 065 066 067 068 069 070071,43,33,077 073,44 074 089,44 090 089 090 091092,44 093 094 095 096,44 097 098 099 Program Instructions 199113 114,44 115 116 117 118,43,33 71.15 52.0020.54 14.22 20.00 10.00 202 LeasingAdvance Payments Solving for Payment 000 001 Leasing11.64 64.45 008 009 010 011 012 013 014 015 016 017 018 019 008 009 010 011 012 013 014 015 016 017 66.86 65.43 600 P Solving for Yield57.00 23,200.00 Percentage 17.33002 003 004 005 006 007 008 009 010 011 012 013 014 015 016 Annual yield as a ? t Keystrokes ALG mode017,45,43 19.48 Advance Payments With Residual 018 019 020 021 022 023 024 025 026 027 028 029 030 520.81 15.0022,000.00 487.29 710.00 34.0018.10 213 Keystrokes Display RPN mode ALG mode FCLEARG 25\ 25z 4nz¼Savings Nominal Rate Converted to Effective Rate Savings 002 003 004 005 006 007 008002 003 004 005 006 007 008 009 010 ³ÞM¼ Effective Rate Converted to Nominal Rate 35 +Þ +5.35 ³Þ Keystrokes Display RPN mode ALG mode FCLEAR G N100 $Continuous Rate Converted to Effective Rate 105.35 217 Bonds30/360 Day Basis Bonds 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015 016 017 018 019 020 021 022 023 024 025 026 027 028 014 015 016 017 018 019 020 021 022 023 024 025 026 027029 030 031 032 033 034 035 036 037 038,43,33 041 042 043 044 045 046 047 048 049 039 040 041 042 043 044 045 046Bonds 219 040,43,33 102.55 104.74 103.41 Annual Coupon Bonds 223 20 ?0 94.75 12.01Page Appendices 228 RPN and the Stack Appendix a RPN and the Stack Getting Numbers Into the Stack The Key Key Rearranging Numbers in the StackTermination of Digit Entry Stack Lift One-Number Functions and the Stack Two-Number Functions and the StackMathematics Functions Percentage Functions Register Calendar and Financial Functions Last X Register and the Key + 5 6 + Arithmetic Calculations with Constants 672,000.00 84,000168,000.00 336,000.00 237 Algebraic Mode ALG Appendix B Algebraic Mode ALG Keying in Negative Numbers532.50 18.5 § Key in ALG ModeHistory Stack in ALG Mode 400.43 737.07 8zgØ 1250+7b Power Function To Calculate Keystrokes Display ALG modePercent of Total 243 More About L Appendix C More About L Error Conditions Error 0 Mathematics245 Error 4 Memory Error 1 Storage Register OverflowError 2 Statistics Error 3 IRR OperationCondition Error 5 Compound Interest Error 6 Storage Registers Error 7 IRROperation Condition Error 8 Calendar Error 9 ServicePr Error Simple Interest Formulas UsedPercentage Interest Compound Interest Appendix E Formulas Used Calendar Discounted Cash Flow Analysis 200 Bonds Depreciation DPN J Interest Rate Conversions Finite CompoundingContinuous Compounding Standard Deviation Weighted MeanStatistics Linear Estimation Rent or Buy Decision 259 Battery, Warranty, Service InformationBattery Low-Power Indication Installing a New Battery Appendix F Battery, Warranty, and Service Information Verifying Proper Operation Self-Tests Appendix F Battery, Warranty, and Service Information Warranty Service USA Regulatory Information Japan Temperature SpecificationsNoise Declaration Canada United Kingdom Calculations Mortgages267 Appendix G United Kingdom Calculations Annual Percentage Rate APR Calculations 269 Function Key Index FinancialStatistics Stack Rearrangement ModesMathematics Number Alteration 272 Run Mode Active Keys Programming Key IndexPressed from Keyboard 274 Subject Index Subject Index Subject Index Subject Index Subject Index