Refinance Loans Home Equity

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Page 171, (ÖÐÎÄ) Page 171, Page 169-172 Page 174 card card output1 output1 output2 output2 output3 output3 output4 output4 output5 output5 printarea printarea random1 random1 random2 random2 random3 random3 random4 random4 random5 random5 number random output1 H E L N Helen¡®s 85th Birthday bingo game!!! This column is called "random1" Note: Ctrl + A works macro. Output1 Random Output2 Output3 Output4 Output5 Note: The macro which prints new Bingo cards works only on the Page 224 file. ¼¼ÇɵÄ˵Ã÷ Êý×Ö Ëæ»úÊý HelenµÄ µÚ85¸öÉúÈÕ ±ö¹ûÓÎÏ·!!! ½á¹û1 ½á¹û2 ½á¹û3 ½á¹û4 ½á¹û5 ×¢Òâ:Ctrl + A ÔËÐкꡣ 11.00 34.00 40.00 54.00 74.00 14.00 28.00 36.00 61.00 82.00 12.00 18.00 45.00 65.00 73.00 10.00 23.00 37.00 63.00 84.00 8.00 20.00 39.00 59.00 78.00 11.00 .06 34.00 .02 40.00 2.41E-04 54.00 .09 74.00 .03 14.00 .06 28.00 .11 36.00 .07 61.00 .10 82.00 .04 12.00 .24 18.00 .16 45.00 .08 65.00 .10 73.00 .09 10.00 .27 23.00 .16 37.00 .11 63.00 .17 84.00 .21 8.00 .35 20.00 .26 39.00 .13 59.00 .21 78.00 .24 16.00 .37 27.00 .39 50.00 .15 67.00 .27 80.00 .25 15.00 .¡­¡­¡­¡­
VBA routines Pictures Early exercise (ÖÐÎÄ) Early exercise Page 270(ÖÐÎÄ£© Page 270 divrate divrate divrate interest interest interest mean mean mean n n n n output output output S S S S Sigma Sigma Sigma Sigma T T T T X X X X T t=0 t=0.25 t=0.5 t=0.75 t=1 X S n Suu Su S Sud Sd Sdd Cuu = max[X-Suu,qu*max(X-Suuu,0)+qd*max(X-Suud,0)] X-Su > qu*Cuu + qd*Cud max(X-Suuu,0) max(X-Suud,0 max(X-Sudd,0) max(X-Sddd,0) Cud = Cdu = max[X-Sud,qu*max(X-Sudu,0)+qd*max(X-Sudd,0)] Cdd = max[X-Sdd,qu*max(X-Sudd,0)+qd*max(X-Sddd,0)] Cud = Cdu = X-Sud Cdd = X-Sdd <-- =((1-E14)*B9-B5)/(B4-B5) <-- =(B4-(1-E14)*B9)/(B4-B5) Mean Sigma r <-- =E13/4 Early Îå¸öʱÆÚµÄÃÀ¹ú¶þÏî¿´ÕÇÆÚȨ¶¨¼Û ״̬¼Û¸ñ ¹ÉÀûÂÊ exp[6%/4] -1 ÉÏÕÇ-ϵø--°üº¬¹ÉÀû ÉÏÕÇ qu ϵø qd ³õʼ¹ÉƱ¼Û¸ñ Ö´Ðм۸ñ 1+r(Dt) ×¢Òâ:ʱÆÚ T = 1 ±»·Ö³É4¸ö×ÓʱÆÚ¡£ ÿÆÚµÄ"ÉÏÕÇ"¶¨ÒåΪ exp[mean*Dt+sigma*sqrt(Dt)]£¬"ϵø" Ϊexp[mean*Dt-sigma*sqrt(Dt)] , ÕâÀï mean = 20% and sigma = 60%¡£ 6%µÄÄêÀûÂÊÿ¸ö×ÓʱÆÚµÄÀûÂÊΪ£º 8%µÄ¹ÉÀûÂÊ·ÖËÄ´ÎÖ§¸¶¡£ Äê ÔÚ Dt °üº¬¹ÉÀûµÄ¹ÉƱ¼Û¸ñ ¹ÉÀûÂÊ ÀûÂÊ ¹ÉƱƽ¾ùÊÕÒæ ¹ÉƱÊÕÒæµÄ±ê×¼²î °´[Ctrl]+a¼ü£¬Ö´ÐкêÃüÁî ʱ¼ä ½çÏÞ <-- Ϊ Dt = T/n °´[Ctrl]+a¼ü£¬Ö´ÐкêÃüÁî <-- Ϊ Dt = T/n ʱ¼ä ÌáÔçÖ´ÐÐ ½çÏÞ ¹ÉƱ¼Û¸ñ ³ýÏ¢ºóµÄ¹ÉƱ¼Û¸ñ ¹ÉÀû£º ÉÏÃæÁ½¸öÊ÷µÄ²î¶î ÃÀ¹úʽ¿´ÕÇÆÚȨ¼Û¸ñ ÔÚ³ýÏ¢ºó¹ÉƱÉϵÄÅ·ÖÞʽ¿´ÕÇÆÚȨ¼Û¸ñ ÌáǰִÐÐ¸ÃÆÚȨ ĿǰµÄ¹É¼Û ÆÚȨִÐм۸ñ ÀûÂÊ ¶ÔÊýÕý̬´¦ÀíµÄ¾ùÖµm ¶ÔÊýÕý̬´¦ÀíµÄ±ê×¼²î s ÌáǰִÐÐ Ò»¸öÃÀ¹úʽ¿´ÕÇÆÚȨÌáǰִÐнçÏÞ ÃÀ¹úʽ¿´µøÆÚȨ δµ½ÆÚ£¨Î´Ö´ÐУ©µÄÉÏÕÇÆÚȨµÄ¼ÛÖµ ÅÉϢǰ¹ÉƱÉϵÄÅ·ÖÞÆÚȨµÄ¼ÛÖµ FIVE DATE AMERICAN BINOMIAL CALL OPTION PR¡­¡­¡­¡­
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Page 458 Arrays ArrayAssign ArrayDemo1 ArrayDemo3 ArrayDemo4 ArrayDemoBase1 DynPV Matrix1 Matrix2 MoreDynPV NewDynPV VarArrayAssign VarPV VarPV In Action CF VarPV <-- =VarPV(A4:A$8) <-- =VarPV(A5:A$8) <-- =VarPV(A6:A$8) <-- =VarPV(A7:A$8) <-- =VarPV(A8:A$8) <-- =NPV(0.05,A4:A$8) <-- =NPV(0.05,A5:A$8) <-- =NPV(0.05,A6:A$8) <-- =NPV(0.05,A7:A$8) <-- =NPV(0.05,A8:A$8) NPV Macros in this Workbook ArrayDemo1() ArrayDemo3() ArrayDemo4() ArrayDemoBase1() Matrix1() Matrix2() MoreDynPV() DynPV() ArrayAssign() VarArrayAssign() NewDynPV() 100.00 432.95 432.95 .05 100.00 354.60 354.60 .05 100.00 272.32 272.32 .05 100.00 185.94 185.94 .05 100.00 95.24 95.24 .05 Function"s first reference is on page 467 This verssion first reference is on page 466 Function VarPV(CF As Variant) As Double Dim X As Variant Dim Temp As Double Dim i As Integer X = CF Temp = 0 If IsArray(X) Then For i = LBound(X) To UBound(X) Temp = Temp + X(i, 1) / 1.05 ^ i Next i Else Temp = X / 1.05 End If VarPV = Temp End Function Placing the cursor on a cell with a small red triangle in the corner will show you the source code of the Function To edit the code you may press [Alt-F11] and look for a module called Chapter. The Funct¡­¡­¡­¡­
Page 225 (ÖÐÎÄ) Page 225 Page 224 chart (ÖÐÎÄ) Data for page 224 chart Page 224 chart Page223 Page222 (ÖÐÎÄ) VBA program, pages 189-190 benny benny benny Counter Counter Counter elapsed elapsed elapsed initial_price initial_price initial_price mean mean mean output output output runs runs runs sbenny sbenny sbenny sigma sigma sigma starttime starttime starttime stoptime stoptime stoptime Stock Starttime Runs chart title Day price Stoptime Initial price Lognormal Price Simulation Elapsed Mean Sigma for some runs of the simulation. Monthly Month Price return Monthly average Monthly standard deviation =STDEVP(C6:C17) Annual average Annual standard deviation Calculating Lognormal Mean and Sigma from Stock Price Data Simulating Lognormal Price Paths with VBA press Ctrl+A to operate macro Note that here Application.screenupdating makes a big difference! Note: You may have to rescale the y-axis on the graph <-- =AVERAGE(C6:C17) <-- =LN(B6/B5) <-- =LN(B7/B6) <-- =C19*12 <-- =C20*SQRT(12) °´Ctrl+AÔËÐкêÃüÁî ×¢ÒâÕâÀïApplication.screenupdatingÓÐÒ»¸öºÜ´óµÄ²îÒì! Ìì ¹ÉÆ± ¿ªÊ¼Ê±¼ä ֹͣʱ¼ä ÊÅȥʱ¼ä ÔËÐÐ ³õʼ¼Û¸ñ ¾ùÖµ ±ê×¼²î ×¢Òâ:Äã¿ÉÒÔµ÷ÕûÔËÐиÃÄ£ÄâµÄͼÐεÄYÖá¿Ì¶È ¸ù¾Ý¹ÉƱ¼Û¸ñÊý¾Ý¼ÆËã¶ÔÊýÕý̬·Ö²¼µÄ¾ùÖµºÍ±ê×¼²î Ô ¼Û¸ñ ÔÂÊÕÒæ ÔÂÆ½¾ù Ô±ê×¼²î ÄêÆ½¾ù Äê±ê×¼²î ÓÃVBAÄ£Äâ¶ÔÊýÕý̬·Ö²¼¼Û¸ñµÄ×ßÊÆ Page .00 12.00 1.00 12.90 .07 2.¡­¡­¡­¡­
Page 316£¨ÖÐÎÄ£© Page 316 Page 315 (ÖÐÎÄ) Page 315 Page 314 (ÖÐÎÄ) Page 314 Page 311£¨ÖÐÎÄ£© Page 311 Page 310£¨ÖÐÎÄ£© Page 310, Page 309, (ÖÐÎÄ) Page 309, Page 307 (ÖÐÎÄ) Page 307 bondterm bondterm initial initial matrixpower payoff1 payoff1 payoff2 payoff2 solver_adj solver_adj solver_lin .00 solver_lin .00 solver_num .00 solver_num .00 solver_opt solver_opt solver_typ 3.00 solver_typ 3.00 solver_val .09 solver_val .09 transition transition EXPECTED RETURN ON A ONE-YEAR BOND WITH AN ADJUSTMENT FOR DEFAULT PROBABILITY Face value, F Price, P Annual coupon rate, Q Recovery percentage, l Expected cash flow <-- =B7*(1+B6)*B4+(1-B7)*B8*B4 Expected return <-- =B10/B5-1 One-period transition matrix Two-period transition matrix Three-period transition matrix USING THE FUNCTION MATRIXPOWER t CALCULATING THE EXPECTED BOND RETURN Bond price Payoff(tVBA routines Early exercise£¨ÖÐÎÄ) Early exercise Page 265£¨ÖÐÎÄ£© Page 265 Page 264(ÖÐÎÄ£© Page 264 getformula interest interest interest n n n output output output S S S Sigma Sigma Sigma T T T X X X qu qd Bond price 1+r(Dt) T t=0 t=0.25 t=0.5 t=0.75 t=1 S X Sigma n r B-S <-- (LN(S/X)+(r+0.5*sigma^2)*T)/(sigma*SQRT(T)) Interest, r Graph title: values of n change. The formula in cell J5 is: ="American Put Early Exercise Boundary, n = "&TEXT(n,"0") To learn more about how to do this, see Chapter 30. d1 d2 <-- d1 - sigma*SQRT(T) N(d1) N(d2) <-- S*N(d1)-X*exp(-r*T)*N(d2) ²¼À³¿Ë-˹¿Æ¶û˹(B-S)ÆÚȨ¶¨¼ÛÄ£ÐÍ µ±Ç°¹ÉƱ¼Û¸ñ Ö´Ðм۸ñ ÎÞ·çÏÕÀûÂÊ ÆÚȨµÄµ½ÆÚʱ¼ä£¨Ä꣩ ¹ÉƱµÄ²¨¶¯ÐÔ <-- ʹÓõĹ«Ê½NormSDist(d1) <-- ʹÓõĹ«Ê½NormSDist(d2) ¿´ÕÇÆÚȨ¼Û¸ñ ¿´µøÆÚȨ¼Û¸ñ <-- ¿´ÕÇÆÚȨµÄ¼Û¸ñ - S + X*Exp(-r*T):¸ù¾Ý¿´ÕÇ-¿´µøÆÚȨƽ¼Û ¹ÉƱ ÄÚÔÚ ¼Û¸ñ ¼ÛÖµ µ±¹ÉƱ¼Û¸ñµÍʱ£¬¿´µøÆÚȨµÄ²¼À³¿Ë-˹¿Æ¶û˹£¨B-S£©¼ÛֵСÓÚÄÚÔÚ ¼ÛÖµ¡£Èç¹ûÎÒÃÇÌáǰִÐУ¬¸ÃÆÚȨµÄ¼ÛÖµ¿ÉÄÜ»áÔö¼Ó¡£Òò´Ë£º ¶Ô¸Ã¿´µøÆÚȨÌáǰִÐпÉÄÜÊÇÓмÛÖµµÄ¡£ ÎåʱÆÚµÄÃÀ¹ú¶þÏî¿´µøÆÚȨµÄ¶¨¼Û ÉÏÕÇ ×´Ì¬¼Û¸ñ ϵø ³õʼµÄ¹ÉƱ¼Û¸ñ ×¢Òâ: ÆÚ¼äT = 1±»·Ö³É4¸ö×ÓÆÚ¼ä ÿ¸öÆÚ¼äµÄ"ÉÏÕÇ"¶¨ÒåΪexp[s*Dt]-1 "ϵø"¶¨ÒåΪexp[-s*Dt]-1,ÕâÀï s = 40%,ÿ¸ö×ÓÆÚ¼ä½«8%µÄÄêÀûÂÊ ·ÖɢΪexp[8%/4] -1 ¹ÉƱ¼Û¸ñ£º»­È¦µÄµ¥Ôª¸ñ±íʾִÐÐ¸ÃÆÚȨ ÃÀ¹úʽ¿´µøÆÚȨµÄ¼Û¸ñ Å·ÖÞʽ¿´µøÆÚȨµÄ¼Û¸ñ Ò»¸öÃÀ¹ú¿´µøÆÚȨµÄÌáǰִÐнçÏÞ °´[Ctrl]+aÔËÐкêÃüÁî ¿´µøÆÚȨִÐм۸ñ ÀûÂÊ Note: This graph title is dynamic--it changes with Ö´ÐÐʱ¼ä <-- Òâ˼ÊÇDt = T/n ʱ¼ä ÌáǰִÐÐ ½çÏÞ FIVE DATE AMERICAN BINOMIAL PUT OPTION PRICING Note: The period T = 1 is divid¡­¡­¡­¡­
Page 437 Page 427-436 ConcatDemo MsgBoxDeafault MsgBoxDemo MsgBoxOKCancel PVCalculator SayHi MsgBoxDeafault() MsgBoxOKCancel() MsgBoxDemo() PVCalculator() SayHi() Macros in this Workbook ConcatDemo in Action Parameter1 Parameter2 <-- =ConcatDemo(A4,B4) Ben Jerry <-- =ConcatDemo(A5,B5) <-- =ConcatDemo(A6,B6) <-- =ConcatDemo(A7,B7) 1.00 2.00 12 BenJerry 1.00 Ben1 2.00 Jerry2 Function¡®s first reference is on page 437 Function ConcatDemo(Parameter1, Parameter2) ConcatDemo = Parameter1 & Parameter2 End Function Placing the cursor on a cell with a small red triangle in the corner wil kWww Refinanceloanshomeequity Tag Cash Refinance Loans Home Equity ²ÆÎñ½ðÈÚ½¨Ä£¡ªÍ¼±í(39xls) £­ÔªÃîÆóÒµ¹ÜÀíÍøe q Equity zWww Refinanceloanshomeequity Tag Cash Refinance Loans Home Equity ²ÆÎñ½ðÈÚ½¨Ä£¡ªÍ¼±í(39xls) £­ÔªÃîÆóÒµ¹ÜÀíÍøj j Refinance