Example 4 Amortization for home mortgage | HP 39gs Graphing specification

3.Press the soft menu key to amortize the new batch of payments. Repeat steps 1 through 3 as often as needed.

Example 4 - Amortization for home mortgage

For the results of Example 3, show the amortization of the next 10 years of the mortgage loan. First, press the soft menu key. Then, keeping 120 in the PAYMENTS

field, press the soft menu key to produce the results shown below.

To amortize a series of future payments starting at payment p:

1.Calculate the balance of the loan at payment p-1.

2.Store the new balance in PV using the soft menu key.

3.Amortize the series of payments starting at the new PV.

The amortization operation reads the values from the TVM variables, rounds the numbers it gets from PV and PMT to the current display mode, then calculates the amortization rounded to the same setting. The original variables are not changed, except for PV, which is updated after each amortization.

12-8	Using the Finance Solver

Image 152

HP 39gs Graphing manual Example 4 Amortization for home mortgage

Contents

Users guide Edition3 Part Number F2223AA-90001 Edition December June Printing HistoryUSA Contents 10-6 Using variables in equations10-1 11-1 11-411-8 11-9 13-24 Program constants 13-24 Physical constants 13-25Introduction 14-1 Storing and recalling variables 14-2 14-4 18-7 18-918-30 19-1 Service Regulatory information Preface Manual conventionsHewlett Packard’s Calculators web site can be found at Function, Polar, ParametricPage Home On/off, cancel operationsGetting started To adjust DisplayParts of the display Contrast Infrared or cable KeyboardMenu keys Aplet control keys Aplet library onDisplays the Views menu. See Aplet views on Entry/Edit keys Button performs Shifted keystrokes Helpwith Math keys Commands MenusProgram Inactive keys Reset input form values Input forms Mode settings You use the Modes input form to set the modes for Home Setting a mode Aplets E-lessons Press to return to Home Example x = cost and y = sint PolarSequence Sequence functions U in terms of n, or Another sequence, such as Un 1 Quad Explorer aplet Transformations reflected in the equation Symbolic view Plot view Press to display the aplet’s Symbolic viewAplet library Aplet views Select Overlay Plot Select Plot-TableSelect Plot-Detail Sketch view Aplet view configurationPlot Setup Numeric Setup Symbolic Setup Where to start To save aplet configurationMathematical calculations Entering expressions Long results Negative numbers Scientific notation powers UsingExplicit and implicit multiplication 23 3 EEX Parentheses Entering Calculates Sin 45 + π Input Output Last input Edit line Last output Getting started Storing a value in a variable Setting Fraction mode Using fractionsAccessing the display history Clearing the display history Setting fraction precision Fraction Fraction calculationsSelect Fraction as Converting decimals to fractionsEnter the calculation Evaluate the calculation Complex numbers This example, the fraction precision is set to Catalogs and editors About the Symbolic view Defining an expression Symbolic viewAplets and their views Aplet views Independent variable in the expressions is T Select Function Evaluating expressionsAplets Home Setting up the plot Plot view setup About the Plot view ΘSTEP Plot view settingsΘRNG Reset plot settings Exploring the graph Trace a graph To move between relations Zoom options Zoom within a graphTo jump directly to a value To turn trace on/off Square SetFactors Auto Scale Un-zoom Now un-zoom To box zoom Other views for scaling and splitting the graph Views menu options Unit. Resets default values for Split the screenMaking each pixel=1 unit. Not Pixel=π/24 radian, 7.58, or Overlay plots Decimal scalingInteger scaling Trigonometric Setting up the table Numeric view setup About the numeric view NUM view menu keys Zoom within a table Numeric view settingsExploring the table of numbers Integer Numstart and Numstep Building your own table of numbers Build a tableClear data Numtype Build Your Own Build Your Own menu keys Example plotting a circle Reset the graph setup to the default settings Function aplet, specify the functionsFunction Display the functions in numeric formPage Function aplet About the Function apletGetting started with the Function aplet Open the Function aplet Define the expressions Set up the plot Plot the functionsSpecify a grid for the graph Plot the functions Change the scale Trace a graph Select AutoScale Times Analyse graph with FCN functions Select Root Select Slope Select Signed area To find the extremum of the quadratic Select Extremum Display the table of values Display the numeric viewExplore the table Symbolic definition A column Display the symbolic definition for the F1 columnSymbolic definition F1 is displayed at Bottom of the screen To display Or to choose a variable Function aplet interactive analysisSelect Plot FCN FCN functions RootExtremum Slope Symbolic view. Displays Shading areaIntersection Cursor. You need to have at Plotting a piecewise-defined function Parametric aplet About the Parametric apletGetting started with the Parametric aplet Define the expressions Set up the plot Plot the expression Set angle measureSet the angle measure to degrees Select Degrees 120 Overlay plot Display the numbersPlot a triangle graph over the existing circle graph Page Polar aplet Getting started with the Polar apletOpen the Polar aplet Select Polar Explore the graph Display the numbers Display the Plot view menu key labels Getting started with the Sequence aplet Sequence apletAbout the Sequence aplet Define the expression Specify plot settings Open the Sequence apletSequence Menu keys to assist in the entry of equations Plot Setup, set the Seqplot option to Cobweb Plot the sequenceSelect Cobweb Display the . Display the table of values for this examplePage Solve aplet About the Solve aplet Getting started with the Solve aplet Open the Solve apletDefine the equation Enter known variables Select Solve Solve the unknown variable Plot the equation Modes is set to Comma, use instead Plot the equation for variable a Solve aplet’s NUM view keys areCopies the highlighted value to Displays other pages of variables, if Use an initial guess Interpreting results Plotting to find guesses Consider the equation of motion for an accelerating body To highlight T Plot the graph Press until the cursor is at the intersection Using variables in equations Linear Solver aplet Open the Linear Sequence apletSelect Linear Solver Solver was able to find solutions for x, y, and z as Hence we need the three-equation input form Linear Solver aplet Page Triangle Solve aplet About the Triangle Solver aplet Open the Triangle Solver aplet Triangle Solver Errors Not enough data Addition, you cannot specify only angles and no lengths Getting started with the Statistics aplet Statistics apletAbout the Statistics aplet Enter data Select StatisticsEnter the data into the columns To move to the next column Value is Select a fit in the Symbolic setup viewChoose fit and data columns Explore statistics Setup plot Plot the graph Draw the regression curve Display the equation for best linear fitTo move to the FIT1 field Slope m is 425.875. The y-intercept b is Stat-Two Predict valuesTo highlight Entering and editing statistical data Statistics aplet’s Numeric view keys are Statistics Expression in standard Mathematical form. Press When Done Copies the column variable orVariable expression to the edit line Expression Again before re-use Clear is usedData sets will need to be selected Save data Edit a data set Plot a histogram of the data Delete data Insert data Sort data values Angle Setting Defining a regression modelTo choose the fit Fit models To define your own fit Computed statistics 7,8,15,16,17 Columns for a linear fit only PlottingTwo-variable To plot statistical data Plot typesHistogram Box and Whisker Plot Correlation coefficient Fitting a curve to 2VAR dataScatter Plot Plotting mark 2VAR Connected points 2VAR Setting up the plot Plot setup viewRelative Error Erases the plot Trouble-shooting a plotStatistics aplet’s Plot view keys Calculating predicted values Find predicted valuesAccording to the current regression Model Statistics aplet 10-21 Page Inference aplet About the Inference apletGetting started with the Inference aplet Open the Inference aplet Table below summarizes the options available Symbolic view Inference aplet’s Symb view keys Setup-NUM Select the inferential method Enter dataSelect Hypoth Test Test 1 μ Are explained in the feature of this aplet Importing sample statistics from the Statistics aplet If the Decimal Mark setting in the Modes input form Statistics aplet opens in the Numeric viewC1 column, enter the random numbers Produced by the calculator 529 295 952 259 925 592 Set up the interval calculation Open Inference apletInference Select Conf Interval To move to the C field Display Numeric view Display Plot viewSpecify a 90% Confidence interval in the C field Hypothesis tests One-Sample Z-TestMenu name Inputs Two-Sample Z-Test Results One-Proportion Z-Test Population 2 standardTest 1π Measures the strength of the evidence for a selected Two-Proportion Z-Test One-Sample T-Test Sample standard deviation With the α level that you Two-Sample T-Test Pooled? Confidence intervals One-Sample Z-Interval Two-Sample Z-Interval One-Proportion Z-Interval Two-Proportion Z-Interval One-Sample T-Interval Two-Sample T-Interval Pooled Critical T Critical value for T Using the Finance Solver Background 3 4 Compounding period -- which is Performing TVM calculations PMT Example 1 Loan calculations Example 2 Mortgage with balloon payment Calculating Amortizations To calculate amortizationsExample 3 Amortization for home mortgage To continue amortizing the loan Example 4 Amortization for home mortgage Using mathematical functions Math functionsMath menu Name. Note You do not need to press first Math functions by category Function categoriesSyntax Functions common to keyboard and menus Keyboard functions Value1+ value2 , etcEvalue E5 returns Returns LOG100 returns ABS1,2 returns Calculus functions Nthroot 8 returns∂ s1s1 2+3*s1 returns 2*s1+3 S1,2*X+3,X Complex number functions TaylorARG Conj Constants ConversionsMaxreal Minreal Hyperbolic trigonometry List functions Loop functions Matrix functions Polynomial functionsPolycoef Polyeval Probability functions PolyrootComb Perm Real-number functions DEG→RAD FloorFnroot Frac INT MantMAX MIN Total RAD→DEGRound Sign Symbolic functions Two-variable statisticsXpon Isolate Test functions QuadQuote QUADX-12-7,X returns Trigonometry functions IfteNot XOR Symbolic calculations Finding derivatives To find derivatives in Home Select F2X and evaluate it To find derivatives in the Function aplet’s Symbolic viewEvaluate the function Show the result For example, to find the indefinite integral To find the indefinite integral using formal variablesYou could also just define Program constants and physical constants Program constants Physical constants 13-26 Variables and memory management Introduction Storing and recalling variables To clear a variable To use variablesCalculations Press Vars menuOpen the Vars menu Add the contents of two list variables, and to store Names or values of variables into programsExample Result in another list variable 14-6 17-5 for more information on That you can configure usingTo store into a graphics variable on To access an aplet X0, Y0 to X9, Y9 Symbolic view. SeeVariable Aplet variables on page R-7 Memory Manager Line, press and pressDetails of variables within the category To delete variables in a categoryPage Matrices VectorsMatrices Matrix Variables POLYROOT1,0,-1,0 M1 Creating and storing matricesMatrix Catalog keys To create a matrix in the Matrix Catalog Working with matrices To transmit a matrix Deletes the highlighted cells, row Or column you are prompted toMake a choice Moves to the first row, last row, first Create the second matrix Matrix arithmeticTo store one element Matrices 15-7 Solving systems of linear equations Open the Matrix catalog and create a vector Select Real matrix Matrix functions and commands About commandsArgument conventions About functions Cond CrossDET DOT Makemat RankRownorm Rref Examples Transposing a Matrix Reduced-Row Echelon Form Matrices 15-15 Page Lists You can create, edit, delete, send, and receive named List catalog keys Create a list List edit keys Displaying and editing lists To display a listTo display one Element A list To insert an element 1. Open the List catalogPress , and press 148 L12 List functions Deleting listsTransmitting lists To delete a list 2,3 returns 5,10,15 CONCATlist1,list2CONCAT1,2,3,4 returns 1,2,3,4 ΔLISTlist1 ΠLIST2,3,4 returns 23 27 Calculates the product of all elements in listΠLISTlist Finding statistical values for list elements 16-10 Aplet note view To write a note in Note viewYour work is automatically saved. Press any view key Or to exit the Notes view Contents of variables CommandsSpace key for text entry Alpha-lock for letter entry To draw a line Aplet sketch viewSketch keys To draw a box Draw keys Press to continue drawing, or press Mynote Opens the selected note for Begins a new note, and asksFor a name Another HP 39gs or PC Press instead Contents of a Program Structured Programming Programming Program catalog Open Program CatalogBe simple-or it can be divided further into other Programs that perform smaller tasks Program catalog keys Press Progrm to open the Program catalog Creating and editing programsCreate a new program Edit a program 1. Press Progrm to On the left, use or to highlight a commandPress to paste the command into the program editor Editing keys Using programs Run a program Debug a program Stop a program Transmit a program Customizing an aplet Aplet naming convention Example Configuring the Setviews menu option programs Save the aplet Setviews ’’’’ ’’’’18 ’’My Entry1’’’’EXP.ME1’’1’’My Entry2’’’’EXP.ME2’’3 ’’ ’’’’EXP.SV’’0 ’’Start’’’’EXP.S’’7 Programming commands’’’’’’EXP.ANG’’0 Aplet commands CheckSelect Setviews Associating programs with your aplet Auto-run programs Including standard menu options ProgramNameViewNumber Branch commands UncheckIF...THEN...END Uncheck n IF... THEN... Else END CASE...END Iferr Then ELSE…END If A==1 Stop Drawing commandsRUN BOX EraseFreeze Line Graphic commands Grobxor MakegrobPLOT→ →PLOT Loop commands Matrix commands Randmat RedimScale Scaleadd Print commands Prompt commands Clrvar DispDispxy Disp 3A is 2+2 Editmat matrixname Disptime51.52HELLO Msgbox GetkeyInput Stat-Two commands Stat-One and Stat-Two commandsStat-One commands Storing and retrieving variables in programs Plot-view variables Grid Hmin/HmaxIndep InvCross Isect LabelsRecenter Root S1mark-S5mark SeqPlotSimult Slope Umin/Umax UstepTmin / Tmax Tracing Tstep XcrossYcross Ytick Ymin / Ymax Yzoom Symbolic-view variables S1fit...S5fit Cubic S2fit Numeric-view variables C1...C9, C0Digits Format NumCol NumFontNumIndep NumRow NumStep NumTypeNumZoom StatMode Sketch variables PageNumFollowing aplet variable is available in Note view Graphicname Extending aplets Creating new aplets based on existing aplets Degrees Open the Solve aplet and save it under the new nameSolve Choose the sine formula in E1 Resetting an apletUsing a customized aplet Hewlett-Packard’s Calculators web site can be found at Downloading e-lessons from the webSending and receiving aplets To transmit an aplet Sorting items in the aplet library menu list To sort the aplet list To delete an aplet Reference information GlossaryExpression line# Cross matrix1,matrix2 Editor and catalog Matrix Two-dimensional array of values Record using the Program editorVector One-dimensional array of values Set to Comma and enclosed To reset using the keyboard Resetting the HP 39gsTo erase all memory and reset defaults Batteries Operating detailsIf the calculator does not turn on To install the main batteries To install the backup battery Variables Home variables Angle Function aplet variablesArea Root Extremum Slope Isect Parametric aplet variables Parametric aplet variables are Category Available name Plot Polar aplet variables Polar aplet variables are Category Available names Plot Sequence aplet variables Sequence aplet variables are Category Available name Plot Digits NumCol Format NumRow Solve aplet variablesSolve aplet variables are Category Available name Plot Statistics aplet variables Math menu categories Math functionsMath functions are Category Available name Calculus Hyperb Category Available name Matrix Polynom Degrees Grads Radians Standard Sci Fixed Eng FractionCobweb Stairstep Stat1Var Stat2Var Compt w... Compton Wavelength, λc Program commands Program commands are Category Command ApletBranch Print Category Command Stat-Two Status messages Also be correct. Look up Function name in the index toFind its proper syntax Function value, root, extremumPage Limited Warranty HP 39gs Graphing Calculator Warranty period 12 monthsPage Service Canada 905 206-4663 or Rotc = Rest of the country Regulatory information Xxxx This marking is valid for EUPage Page Index Branch structures 18-17 build your own table Contrast Freeze 18-20 Line 18-20 Pixoff 18-20 Pixon 18-20 Tline Grobor Acosh Alog Asinh Atanh Cosh EXPPage Page Angle measure 1-10 decimal mark 1-11 number format Trigonometric scaling 2-14 two-variablestatistics Sending and receiving 18-8 structured Menu lists 1-8 speed searches Navigate around 3-8 numeric values 3-7 numeric view setup Page