600.00, 750.00, 12,831.75 | HP 12C Financial 12C manual

170 Section 12: Real Estate and Lending

In the example cited, the rental payment stream for months 7 through 24 are “deferred annuities,” as they start at some time in the future. The cash flow diagram from the investor’s viewpoint looks like this:

To find today’s present value of the cash flows assuming a desired yield, the NPV technique may be used. (Refer to pages 73 through 77.)

Example 2: A 2-year lease calls for monthly payments (at the beginning of the month) of $500 per month for the first 6 months, $600 per month for the next 12 months, and $750 per month for the last 6 months. If you wish to earn 13.5% annually on these cash flows, how much should you invest (what is the present value of the lease)?

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

f]	f[

fCLEARH	fCLEARH	0.00	Initialize.
500gJ	500gJ	500.00	First cash flow.
gK	gK	500.00	Second through sixth cash
5ga	5ga	5.00	flows.
		5.00	flows.
600gK	600gK	600.00	Next twelve cash flows.
12ga	12ga	12.00
750gK	750gK	750.00	Last six cash flows.
6ga	6ga	6.00
13.5gC	13.5gC	1.13	Monthly interest rate.
fl	fl	12,831.75	Amount to invest to
			achieve a 13.5% yield.

File name: hp 12c pt_user's guide_English_HDPMF123E27	Page: 170 of 275
Printed Date: 2005/8/1	Dimension: 14.8 cm x 21 cm

Image 170

HP 12C Financial 12C manual 600.00, 750.00, 12,831.75

Contents

Hp 12c platinum financial calculator Printing History Introduction About This Handbook Introduction For More Solutions to Financial ProblemsFinancial Calculations in the United Kingdom Contents Contents Section Part II Programming 103 Part III Solutions 155 227 Appendix E Formulas Used 250 267 Making Financial Calculations Easy 21,396.61 48.00500.00 14.00 11,024.82 10,371.79168.00 42.03 Part Problem Solving Adjusting the Display Contrast Power On and OffLow-Power Indication Getting Started Digit Separators Getting StartedKeying in Numbers Negative Numbers Backspacing Keying in Large Numbers7814 123.63 Clear Keys KeystrokesDisplay ALG mode63+ Keys Clears RPN and ALG Keys RPN mode ALG modeUndo Operation Example 13.00 Simple Arithmetic Calculations in RPN ModeKeystrokes RPN mode Display Simple Arithmetic Calculations in ALG Mode 22.95 Chain Calculations in RPN ModeKeystrokes RPN mode 35.38 10.14 1053+ 30.00 42.00 Chain Calculations in ALG Mode Parentheses Calculations Storing and Recalling Numbers Keystrokes ALG mode 8zgØ5 1gÙ DisplayStorage Registers Keystrokes Display 1250?0 Later that same day … Keystrokes Display RPN mode250.00 500?2 58.33 Clearing Storage RegistersStorage Register Arithmetic 053.00 13.7010.14 064.54 Percentage Functions Percentages in RPN ModePercentage and Calendar Functions 300 Percentages in ALG Mode Percentage and Calendar Functions 283.40 860.0021,390.00 22,673.40 58.50 Keystrokes ALG mode DisplayPercent Difference 53.25 Percent of Total in RPN Mode 29.69 Percent of Total in ALG Mode Calendar Functions Date Format Future or Past Dates 14.05 11,09,2004 498.00 Number of Days Between Dates11.09 491.00 Storing Numbers into the Financial Registers Basic Financial FunctionsFinancial Registers Displaying Numbers in the Financial Registers Clearing the Financial Registers Simple Interest CalculationsBasic Financial Functions 455.25 60.00450.00 455.18 Financial Calculations and the Cash Flow Diagram Basic Financial Functions Payment Mode Cash Flow Sign Convention Generalized Cash Flow Diagrams Basic Financial Functions Compound Interest Calculations Calculating the Number of Payments or Compounding Periods 325.00 Sets the payment mode to End35,000.00 Stores PV 181.89 328.0027.33 143.11 466.87 327.00141.87 Recalls payment amount 50.00 GÂ n Keystrokes ALG mode775.00 Stores FV 50.00 977.27 58.0029.00 4000 Calculating the Periodic and Annual Interest Rates Keystrokes Display ALG mode 400022.73 10,000.00 Stores FV Keystrokes RPN mode Keystrokes ALG mode Calculating the Present Value 9gC 450ÞP 1500+ 540,000.00 12.0017,500.00 369,494.09 243,400.00 Stores PV 717.44 200.0060,000.00 Calculating the Future Value 243400$ 243,400.00 1363.29ÞP -1,363.29 Sets payment mode to End5gA 222,975.98 Amount of balloon payment 32,000.00 24.00281.34 28,346.96 Odd-Period Calculations Basic Financial Functions 5gC 012004135.17 Z30+ GÒ z30+ 950.00120.00 §12 Basic Financial Functions Keystrokes Display FCLEAR G Enters 25 gC 250000 $ Amortization250,000.00 245,029.09 498.12970.91 238.26 360.00 093.75404.37 380.51 Additional Financial Functions Discounted Cash Flow Analysis NPV and IRR Additional Financial Functions Calculating Net Present Value NPV Negative cash flow 130,000.00 212.18 Year Cash Flow 11,000.00 79,000.0014,000.00 10,000.00 Calculating Internal Rate of Return IRR 13.72 Reviewing Cash Flow Entries 100,000.00 500.00 14,000.00 79,000.00 Changing Cash Flow Entries 644.75 857.21 042018 Bond CalculationsBond Price 120.38 Total price, including accrued Bond Yield122.13 1f# Depreciation Calculations400.00 2f# 3f# 440.00660.00 Additional Operating Features Continuous Memory Display Additional Operating FeaturesStatus Indicators Number Display Formats 14.8746 14.9 14.87456320 Scientific Notation Display Format 487456 1487456320 Key in RPN Mode Special Displays Arithmetic Calculations With Constants Recovering From Errors in Digit Entry 429,000.00 Statistics Functions Accumulating Statistics Statistics Functions Correcting Accumulated StatisticsMean Register Statistic 38.00 32.0040.00 35.00 463.00 Standard Deviation820.59 Keystrokes Display 48 gQ Linear Estimation28,818.93 Estimated sales for a 48 hour 001 Keystrokes RPN mode 0gR DisplayKeystrokes ALG mode 0gR 1gR~d-~ Display GR~d~ Weighted Mean 100 Mathematics Number-Alteration FunctionsOne-Number Functions 3880000000 Mathematics and Number-Alteration Functions258 Keystrokes To CalculateDisplay ALG mode Power Function in RPN ModePower Function in ALG Mode Part Programming Creating a Program Why Use Programs?Programming Basics 104 150.00 Programming Basics200 155.00 Running a Program 001 002 003 004 005 006 007 159 625473.75 124.25 Program Memory Identifying Instructions in Program Lines Displaying Program Lines Nnn Nnn, 44Nnn,43,33,000 Instruction Keycode Sets calculator to Program Mode and displays current linePressing gÜdoes the reverse Keystrokes Display RPN mode Program memory Keystrokes Display 008,43,33,000 Program line 000 Instruction and Program Line Expanding Program Memory Programming Basics Setting the Calculator to a Particular Program Line Executing a Program One Line at a Time Program line 004 b Program line 002Program line 003 Program line 006 Program line 005 + Pausing During Program Execution Interrupting Program Execution 68.5 ?+1 ?+2 ?+3 Keystrokes RPN mode ?+1 ?+2 ?+3 Keystrokes ALG mode119 008 001 002004 005 006 001 002 003 004 890.50 012, 44 40950.61 60.11 Stopping Program Execution 402.82370.52 003,44 004 005 006 FCLEAR² 13\68.5 18\72.9 24\85 Fourth item 125 Branching and LoopingSimple Branching Looping Branching and Looping 782.47 007,43,33,002150,000.00 188.72 593.75593.75 005 188.72 007,43,33,002 190.22 Conditional Branching592.25 Branching and Looping Recalls test value into X-register Stores income into register R9 004,43,33,007006,43,33,008 010 006,43,33,009008,43,33,010 20,000.00 15,000.00 007 15,000.0015,000.00 004,43,33,007 20,000 25,000.00 20,000.00 00725,000 25,000.00 005 15,000.00 006,43,33,009 15,00015,000.00 005 15,000.00 009 20,000.00 009 012,43,33,000 Line 012 gi000 000.00005, 43 34 Line 005 go 20,000.00 Line 009 25,000.00 007 25.00 010 139 Program EditingChanging the Instruction in a Program Line Program Editing Keystrokes RPN mode Keystrokes ALG mode Fs gi.006 DisplayAdding Instructions at the End of a Program 013 12,000.00012 014 Adding Instructions by Replacement Adding Instructions within a Program Fs 15000t 016 Adding Instructions by Branching 011,43,33,000 Keystrokes RPN mode Fs gi.000001,43,33,012 Gi.010 017,43,33,002 012 013014 015,43,33,000 016 020 021,43,33,000 022 017,43,33,000018 019 Program Editing 149 Multiple ProgramsStoring Another Program 023 024 025 026 018,43,33,000019 020 021 022 027,43,33,019 033,43,33,025 025 026 027 028029 030 031 032 034 035 036 037 028 029 030 031032 033 034,43,33,029 038 039 040,43 33,035 Running Another Program Page Part Solutions 156 Real Estate and LendingAnnual Percentage Rate Calculations With Fees 908.46 Real Estate and Lending160,000.00 156,800.00 159,250.00 156,050.00 Price of a Mortgage Traded at a Discount or Premium Keystrokes Display RPN mode ALG mode 12§ §12³Keystrokes Display RPN mode ALG mode FCLEARG 72.00 312.00 137.17777.61 657.97 300,000.00 Yield of a Mortgage Traded at a Discount or Premium252.00 096.57 210.00 18.00 Rent or Buy Decision258,377.24 12.11 000 001 002 003 004,44 005 006 007 008 009 010 011 012 013 014 015 016 017 018 019 020 021 RPN mode Registers Real Estate and Lending 900.00 165.00700.00 270,000.00 46,048.61 Keystrokes Display RPN mode ALG mode YieldDeferred Annuities 15,218.35 12,831.75 600.00750.00 Straight-Line Depreciation Investment AnalysisPartial-Year Depreciation 000 001 002 003 004 005 006 007 008 009 010 011 032,44 012 013 014 015 016 017 018 019 020 021 022 023 024025,43 026 027 028 029 030 031 033,44 036,44 036 037 038 039 040041,43,33 037,43,33 Investment Analysis 123,333.33 125,000.00666.67 118,333.33 Declining-Balance Depreciation 730.00504.75 000 001 002 003 004 005 006 007 008 009 028,44 010 011 012 013 014 015 016 017 018 019 020021,43 022 023 024 025 026 027 029,44 034 035 036 034 035 036 037 038 039 040 50,000.00 11,458.33 Sum-of-the-Years-Digits Depreciation 026 027 028 029 030 031 018 019 020 021 022 023 024025,43,33 035 036 037 038 039 040 042 043 044 25n Keystrokes Display RPN mode ALG mode FCLEARG 12000$500M Full- and Partial-Year Depreciation with Crossover ?-0 008 009 010 011008 009 010 011 012 013 014 040,44 032,43,33033 034 035 036 037 038 039 041,44 042 063,44 057,43,33058 059 060 061 062 064,43,33 086 087 088 089 090 091 092 093 080,44 081 082 083 084085,43,33 094,43,33 Keystrokes Display RPN mode ALG mode FCLEAR H 11000 $ 406.25 375.00125.00 804.69 312.50 Excess Depreciation10,500.00 531.25 Modified Internal Rate of Return 657,152.37 Group # of Months Cash Flow $200,000.00 775,797.83 Black-Scholes Formula for Valuing European Options Keystrokes Display Keystrokes Display 073,44 074 065 066 067 068 069 070071,43,33,077 075,44 076 077 078 096,44 097 098 099 089 090 091092,44 093 094 095 089,44 090 118,43,33 199113 114,44 115 116 117 Program Instructions 14.22 52.0020.54 71.15 10.00 20.00 Solving for Payment LeasingAdvance Payments 202 64.45 Leasing11.64 000 001 008 009 010 011 012 013 014 015 016 017 008 009 010 011 012 013 014 015 016 017 018 019 65.43 66.86 23,200.00 Solving for Yield57.00 600 P Annual yield as a 17.33002 003 004 005 006 007 008 009 010 011 012 013 014 015 016 Percentage 19.48 Keystrokes ALG mode017,45,43 ? t Advance Payments With Residual 018 019 020 021 022 023 024 025 026 027 028 029 030 487.29 15.0022,000.00 520.81 18.10 710.0034.00 Nominal Rate Converted to Effective Rate Keystrokes Display RPN mode ALG mode FCLEARG 25\ 25z 4nz¼Savings 213 002 003 004 005 006 007 008 009 010 Savings002 003 004 005 006 007 008 Effective Rate Converted to Nominal Rate ³ÞM¼ 105.35 Keystrokes Display RPN mode ALG mode FCLEAR G N100 $Continuous Rate Converted to Effective Rate 35 +Þ +5.35 ³Þ 001 002 003 004 005 006 007 008 009 010 011 012 013 Bonds30/360 Day Basis Bonds 217 038,43,33 014 015 016 017 018 019 020 021 022 023 024 025 026 027029 030 031 032 033 034 035 036 037 014 015 016 017 018 019 020 021 022 023 024 025 026 027 028 040,43,33 039 040 041 042 043 044 045 046Bonds 219 041 042 043 044 045 046 047 048 049 102.55 103.41 104.74 Annual Coupon Bonds 223 20 ?0 12.01 94.75Page Appendices RPN and the Stack 228 Getting Numbers Into the Stack The Key Appendix a RPN and the Stack Stack Lift Rearranging Numbers in the StackTermination of Digit Entry Key Mathematics Functions One-Number Functions and the StackTwo-Number Functions and the Stack Percentage Functions Calendar and Financial Functions Register Last X Register and the Key Arithmetic Calculations with Constants + 5 6 + 336,000.00 84,000168,000.00 672,000.00 Algebraic Mode ALG 237 532.50 Appendix B Algebraic Mode ALGKeying in Negative Numbers 400.43 737.07 Key in ALG ModeHistory Stack in ALG Mode 18.5 § 8zgØ 1250+7b Percent of Total Power FunctionTo Calculate Keystrokes Display ALG mode More About L 243 Appendix C More About L 245 Error ConditionsError 0 Mathematics Error 3 IRR Error 1 Storage Register OverflowError 2 Statistics Error 4 Memory Error 5 Compound Interest OperationCondition Operation Condition Error 6 Storage RegistersError 7 IRR Pr Error Error 8 CalendarError 9 Service Interest Formulas UsedPercentage Simple Interest Appendix E Formulas Used Compound Interest Discounted Cash Flow Analysis Calendar Bonds 200 Depreciation DPN J Continuous Compounding Interest Rate ConversionsFinite Compounding Linear Estimation Weighted MeanStatistics Standard Deviation Rent or Buy Decision Low-Power Indication Battery, Warranty, Service InformationBattery 259 Appendix F Battery, Warranty, and Service Information Installing a New Battery Verifying Proper Operation Self-Tests Appendix F Battery, Warranty, and Service Information Warranty Service Regulatory Information USA Canada Temperature SpecificationsNoise Declaration Japan 267 United Kingdom CalculationsMortgages Annual Percentage Rate APR Calculations Appendix G United Kingdom Calculations 269 Statistics Function Key IndexFinancial Number Alteration ModesMathematics Stack Rearrangement 272 Pressed from Keyboard Run Mode Active KeysProgramming Key Index Subject Index 274 Subject Index Subject Index Subject Index Subject Index