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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 will show you the source code of the Macro or Function To edit the code you may press [Alt-F11] and look for a module called Chapter. The Macro or Function should be in it. Function¡®s first reference is on page 437 Function ConcatDemo(Parameter1, Parameter2) ConcatDemo = Parameter1 & Parameter2 End Function Function¡®s first reference is on page 437 Function ConcatDemo(Parameter1, Parameter2) ConcatDemo = Parameter1 & Parameter2 End Function Function¡®s first reference is on page 437 Function ConcatDemo(Parameter1, Parameter2) ConcatDemo = Parameter1 & Parameter2 End Function ½«¹â±ê·ÅÔÚµ¥Ôª¸ñСºìÈý½ÇÉÏ£¬½«ÏÔʾº¯ÊýµÄÔ´´úÂë¡£Òª±à¼¸ÃÔ´´úÂ룬Äã¿ÉÒÔ°´ [¡¡¡¡
Page 67-68 (ÖÐÎÄ) Page 67-68 Page 66 (ÖÐÎÄ) Page 66 Page 62-63 (ÖÐÎÄ) Page62-63 Page 61-62 (ÖÐÎÄ) Page 61-62 Page 59 (ÖÐÎÄ) Page 59 Page 58 (ÖÐÎÄ) Page 58 Page 57(ÖÐÎÄ) Page57 Page 52 (ÖÐÎÄ) Page 52 Page 49-56(ÖÐÎÄ) Page 49-56 Page 44-46 (ÖÐÎÄ) Page 44-46 Sales growth Current assets/Sales Current liabilities/Sales Net fixed assets/Sales Costs of goods sold/Sales Depreciation rate Tax rate Dividend payout ratio Year Income statement Sales Costs of goods sold Depreciation Profit before tax Taxes Profit after tax Dividends Retained earnings Balance sheet Current assets Fixed assets At cost Depreciation Net fixed assets Total assets Current liabilities Debt Stock Accumulated retained earnings Total liabilities and equity Cash and marketable securities Total Interest rate on debt <-- =B16*(1+$B$3) Interest payments on debt <-- =-C16*$B$7 <-- =SUM(C16:C20) <-- =-C21*$B$11 <-- =C22+C21 <-- =-$B$12*C23 <-- =C24+C23 <-- =C16*$B$4 <-- =C16*$B$6 <-- =C16*$B$5 <-- =B38 SETTING UP THE FINANCIAL STATEMENT MODEL Interest paid on cash & marketable securities <-- =C40-C29-C33 <-- =C33-C32 <-- =C33+C29+C28 <-- =B37 <-- =B39+C25 <-- =SUM(C36:C39) FIRST FINANCIAL MODEL Free cash flow Add back depreciation Add back increa¡¡¡¡
Data for page 156,157 chart Page 157 (ÖÐÎÄ) Page 157 Page 156 (ÖÐÎÄ) Page 156 Page 154-155 (ÖÐÎÄ) Page 154-155 constant constant epsilon getformula Portfolio_mean Portfolio_mean Portfolio_sigma Portfolio_sigma results results solver_adj solver_adj solver_cvg 1.00E-03 solver_cvg 1.00E-03 solver_drv 1.00 solver_drv 1.00 solver_eng 1.00 solver_eng 1.00 solver_est 1.00 solver_est 1.00 solver_ibd 2.00 solver_ibd 2.00 solver_itr 100.00 solver_itr 100.00 solver_lhs1 solver_lhs1 solver_lhs2 solver_lhs2 solver_lhs3 solver_lhs3 solver_lhs4 solver_lhs4 solver_lhs5 solver_lhs5 solver_lin 2.00 solver_lin 2.00 solver_lva 2.00 solver_lva 2.00 solver_mip 1000.00 solver_mip 1000.00 solver_neg 2.00 solver_neg 2.00 solver_nod 1000.00 solver_nod 1000.00 solver_num 2.00 solver_num 2.00 solver_nwt 1.00 solver_nwt 1.00 solver_ofx 2.00 solver_ofx 2.00 solver_opt solver_opt solver_pre 1.00E-06 solver_pre 1.00E-06 solver_pro 2.00 solver_pro 2.00 solver_rel1 3.00 solver_rel1 3.00 solver_rel2 2.00 solver_rel2 2.00 solver_rel3 3.00 solver_rel3 3.00 solver_rel4 3.00 solver_rel4 3.00 solver_rel5 3.00 solver_rel5 3.00 solver_reo 2.00 solver_reo 2.00 solver_rep 2.00 solver_rep 2.00 solver_rhs1 .00 solver_rhs1 .00 solver¡¡¡¡
Select (NOT IN BOOK) Numeric If (NOT IN BOOK) Page 394-396 Comparing 399 Page 398 Page 396 Page 395 Page 393 Page 392 Page 390-391 Page 384, Benny Binomial BlockIf Function1 HomeBinom HomeFactorial NestedIf NewMistake NumericIf SelectDemo SelectDemo1 SelectDemo2 SelectDemo3 SimpleIf SimpleIf2 SimpleIf3 simpleselect Function1 Functions in Action Parameter NumericIf() S
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