\documentclass[10pt,a4paper]{article} % Packages \usepackage{fancyhdr} % For header and footer \usepackage{multicol} % Allows multicols in tables \usepackage{tabularx} % Intelligent column widths \usepackage{tabulary} % Used in header and footer \usepackage{hhline} % Border under tables \usepackage{graphicx} % For images \usepackage{xcolor} % For hex colours %\usepackage[utf8x]{inputenc} % For unicode character support \usepackage[T1]{fontenc} % Without this we get weird character replacements \usepackage{colortbl} % For coloured tables \usepackage{setspace} % For line height \usepackage{lastpage} % Needed for total page number \usepackage{seqsplit} % Splits long words. %\usepackage{opensans} % Can't make this work so far. Shame. Would be lovely. \usepackage[normalem]{ulem} % For underlining links % Most of the following are not required for the majority % of cheat sheets but are needed for some symbol support. \usepackage{amsmath} % Symbols \usepackage{MnSymbol} % Symbols \usepackage{wasysym} % Symbols %\usepackage[english,german,french,spanish,italian]{babel} % Languages % Document Info \author{lpoole} \pdfinfo{ /Title (financial-management.pdf) /Creator (Cheatography) /Author (lpoole) /Subject (Financial Management Cheat Sheet) } % Lengths and widths \addtolength{\textwidth}{6cm} \addtolength{\textheight}{-1cm} \addtolength{\hoffset}{-3cm} \addtolength{\voffset}{-2cm} \setlength{\tabcolsep}{0.2cm} % Space between columns \setlength{\headsep}{-12pt} % Reduce space between header and content \setlength{\headheight}{85pt} % If less, LaTeX automatically increases it \renewcommand{\footrulewidth}{0pt} % Remove footer line \renewcommand{\headrulewidth}{0pt} % Remove header line \renewcommand{\seqinsert}{\ifmmode\allowbreak\else\-\fi} % Hyphens in seqsplit % This two commands together give roughly % the right line height in the tables \renewcommand{\arraystretch}{1.3} \onehalfspacing % Commands \newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour \newcommand{\mymulticolumn}[3]{\multicolumn{#1}{>{\columncolor{\RowColorName}}#2}{#3}} % For coloured multi-cols \newcolumntype{x}[1]{>{\raggedright}p{#1}} % New column types for ragged-right paragraph columns \newcommand{\tn}{\tabularnewline} % Required as custom column type in use % Font and Colours \definecolor{HeadBackground}{HTML}{333333} \definecolor{FootBackground}{HTML}{666666} \definecolor{TextColor}{HTML}{333333} \definecolor{DarkBackground}{HTML}{1B00A3} \definecolor{LightBackground}{HTML}{F7F7FC} \renewcommand{\familydefault}{\sfdefault} \color{TextColor} % Header and Footer \pagestyle{fancy} \fancyhead{} % Set header to blank \fancyfoot{} % Set footer to blank \fancyhead[L]{ \noindent \begin{multicols}{3} \begin{tabulary}{5.8cm}{C} \SetRowColor{DarkBackground} \vspace{-7pt} {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}} } \end{tabulary} \columnbreak \begin{tabulary}{11cm}{L} \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{Financial Management Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{lpoole} via \textcolor{DarkBackground}{\uline{cheatography.com/38805/cs/15203/}}} \end{tabulary} \end{multicols}} \fancyfoot[L]{ \footnotesize \noindent \begin{multicols}{3} \begin{tabulary}{5.8cm}{LL} \SetRowColor{FootBackground} \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}} \\ \vspace{-2pt}lpoole \\ \uline{cheatography.com/lpoole} \\ \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}} \\ \vspace{-2pt}Not Yet Published.\\ Updated 23rd March, 2018.\\ Page {\thepage} of \pageref{LastPage}. \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}} \\ \SetRowColor{white} \vspace{-5pt} %\includegraphics[width=48px,height=48px]{dave.jpeg} Measure your website readability!\\ www.readability-score.com \end{tabulary} \end{multicols}} \begin{document} \raggedright \raggedcolumns % Set font size to small. Switch to any value % from this page to resize cheat sheet text: % www.emerson.emory.edu/services/latex/latex_169.html \footnotesize % Small font. \begin{multicols*}{3} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{8 Rules}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{1. Do not double count (interest is included in the hurdle rate)} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{2. Use incremental cash flows, not accounting income (depreciation, interest expense) after tax} \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{3. Include incremental working capital costs (current assets - current liabilities)} \tn % Row Count 6 (+ 2) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{4. Include side effects - positive or negative} \tn % Row Count 7 (+ 1) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{5. Exclude overheads - only include incremental cash flows} \tn % Row Count 9 (+ 2) % Row 5 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{6. Include opportunity costs - salvage value, land use etc.} \tn % Row Count 11 (+ 2) % Row 6 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{7. Ignore sunk costs - costs incurred regardless} \tn % Row Count 12 (+ 1) % Row 7 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{8. Inflation is important - (1 + nominal rate) = (1 + real rate) x (1 + inflation rate)} \tn % Row Count 14 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{The role of financial manager}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{Valuation and pricing of assets} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Evaluation of investment proposals} \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{Corporate financial policy} \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Investment decisions} \tn % Row Count 4 (+ 1) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{Finance decisions} \tn % Row Count 5 (+ 1) % Row 5 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Payout and manage cash flows} \tn % Row Count 6 (+ 1) % Row 6 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{OVERRIDING GOAL to maximise shareholder wealth} \tn % Row Count 7 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Capital budgeting \& Investment Decisions}} \tn \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{4 methods - Payback, AAR, IRR and NPV \newline % Row Count 1 (+ 1) - Payback period approach. \newline % Row Count 2 (+ 1) Payback = outgoings - CFAT (number of periods) \newline % Row Count 3 (+ 1) \textasciicircum{}No time value of \$, no decisions based in economics, ignores CF after payback period, will not choose projects to max. share holder value\textasciicircum{} \newline % Row Count 6 (+ 3) - Accounting rate of return (AAR) \newline % Row Count 7 (+ 1) AAR = Average Income / Average invested capital \newline % Row Count 8 (+ 1) 1. Estimate average income after tax for project \newline % Row Count 9 (+ 1) 2. Estimate net investment after depreciation \newline % Row Count 10 (+ 1) 3. Calc ARR \newline % Row Count 11 (+ 1) 4. If ARR \textgreater{} targeted return = accept project \newline % Row Count 12 (+ 1) \textasciicircum{}Limitations of ARR - components reflect tax and accounting figures, not market values and cash flows, time value of \$ and no guidance on target AAR\textasciicircum{} \newline % Row Count 15 (+ 3) - NPV technique. \newline % Row Count 16 (+ 1) - IRR = rate of return where NPV = 0 \newline % Row Count 17 (+ 1) i.e IRR of project outlaying \$100 returning \$106 in 1 year when opp cost of capital is 7\% = \newline % Row Count 19 (+ 2) 0 = -100 + 106/(1 + IRR) \newline % Row Count 20 (+ 1) 100 = 106 / (1 + IRR) = 6\%% Row Count 21 (+ 1) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Capital budgeting \& Investment Decisions}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{Payback period approach.} \tn % Row Count 1 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Payout Policy}} \tn \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{What company decided to do with free cash flows; \newline % Row Count 1 (+ 1) - reinvest/accumulate in reserves \newline % Row Count 2 (+ 1) -payout in dividends or share repurchase \newline % Row Count 3 (+ 1) - also dividend reinvestment \newline % Row Count 4 (+ 1) Miller \& Modigliani irrelvance proposition. Dividend policy does not effect shareholder wealth (trade off higher dividends for fall in share price) \newline % Row Count 7 (+ 3) - Increase dividend \newline % Row Count 8 (+ 1) - Pay no dividend \newline % Row Count 9 (+ 1) - Home-made dividend (sell shares) \newline % Row Count 10 (+ 1) Dividend smoothing - practice of maintaining relatively constant dividend and maintaining long term target levels of dividends.% Row Count 13 (+ 3) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Cash Flows}} \tn \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{{\bf{Present Value of an irregular cash flow}} \newline % Row Count 1 (+ 1) PV= CF/(1+r)\textasciicircum{}n\textasciicircum{} \newline % Row Count 2 (+ 1) {\bf{Future value of an irregular cash flow}} \newline % Row Count 3 (+ 1) FV= CF x (1+r)\textasciicircum{}n\textasciicircum{} \newline % Row Count 4 (+ 1) {\bf{Present value of Annuities \textasciicircum{}(also use for EAA - replace CF with EAA)\textasciicircum{}}} \newline % Row Count 6 (+ 2) PV=CF (1-(1+r)\textasciicircum{}-n\textasciicircum{})/r) \newline % Row Count 7 (+ 1) {\bf{Future value of annuities}} \newline % Row Count 8 (+ 1) FV=CF((1+r)\textasciicircum{}n\textasciicircum{}-1)/r) \newline % Row Count 9 (+ 1) {\bf{Present Value of perpetuity}} \newline % Row Count 10 (+ 1) PV = CF/r \newline % Row Count 11 (+ 1) {\bf{Present Value of growing perpetuity}} \newline % Row Count 12 (+ 1) PV = d`1` / r`e`-g \newline % Row Count 13 (+ 1) {\bf{Present Value of growing annuity}} \newline % Row Count 14 (+ 1) PV= C × 1/(r-g) (1-((1+g)/(1+r))\textasciicircum{}n\textasciicircum{} \newline % Row Count 15 (+ 1) {\bf{Determining "n" whenPV and FV is known}} \newline % Row Count 16 (+ 1) .% Row Count 17 (+ 1) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{What decision is it?}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{} \tn % Row Count 0 (+ 0) \hhline{>{\arrayrulecolor{DarkBackground}}-} \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{Financing \newline Investment \newline Payout} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Risk and interest rate}} \tn \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Discount rate, Hurdle rate, Opportunity cost of capital \& required rate or return% Row Count 2 (+ 2) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Compound Interest}} \tn \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Financial mathematics required consistency between numerator and denominator. If cashflow occurs monthly, need a monthly hurdle rate or cashflows annual and rate monthly provided need to convert to annual. \newline % Row Count 5 (+ 5) 1.5\% per quarter to yearly = (1 + r)\textasciicircum{}4\textasciicircum{} = (1.015)\textasciicircum{}4\textasciicircum{} = 6.136\% Effective annual. \newline % Row Count 7 (+ 2) 10.5\% PA comp daily to yearly = (1 + 0.105/365) = (1 + y) \newline % Row Count 9 (+ 2) (1 + 0.105/3650\textasciicircum{}365\textasciicircum{} = 11.07\% \newline % Row Count 10 (+ 1) Continuous compounding; \newline % Row Count 11 (+ 1) FV = PV e\textasciicircum{}rt\textasciicircum{} \newline % Row Count 12 (+ 1) r = continuously compounded rate of return \newline % Row Count 13 (+ 1) e = 2.718282 \newline % Row Count 14 (+ 1) T = compounding periods.% Row Count 15 (+ 1) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Risk \& Return}} \tn \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{β is a measure of how a firm correlates to the market. \newline % Row Count 2 (+ 2) The higher the firm's debt, the more variable is its price and hence its β \newline % Row Count 4 (+ 2) Always assume given β is levered \newline % Row Count 5 (+ 1) If projects or leverage changes then we must adjust β \newline % Row Count 7 (+ 2) β = 1 (market) \newline % Row Count 8 (+ 1) β \textless{} 1 (risk of security is lower than average market) \newline % Row Count 10 (+ 2) β \textgreater{} 1 (risk of security is higher than average market risk) \newline % Row Count 12 (+ 2) If β is 0 there is no risk (government bond) \newline % Row Count 13 (+ 1) CAPM r`e` = r`f` + β (r`m` - r`f`) OR r`f` + (β X ERP) \newline % Row Count 15 (+ 2) Suppose RF is 5\% and market risk premium is 7\%. \newline % Row Count 16 (+ 1) Qantas has β of 1.33 \newline % Row Count 17 (+ 1) According to CAPM what is expected return? \newline % Row Count 18 (+ 1) r`f` + β (e`m` - r`f`) = 0.05 + 1.33 (0.07) = 14.31\% \newline % Row Count 20 (+ 2) Therefore because qantas β of 1.33 investors will require a risk premium os 9.31\% over RF rate. \newline % Row Count 22 (+ 2) Unleveling B. \newline % Row Count 23 (+ 1) B`u` = B`L` / (1+ (1-t)((MV Debt)/(MV Equity))) \newline % Row Count 25 (+ 2) T is tax rate, B`L` is the observable levered β of equity (also known as project risk of a firm) \newline % Row Count 27 (+ 2) To reliever with new D/E ratio B`L` = B`u` (1 + (1-T) x (new D/new E)% Row Count 29 (+ 2) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Company cost of capital}} \tn \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{WACC \newline % Row Count 1 (+ 1) - When should you use - if scale enhancing, when D/E remains unchanged. \newline % Row Count 3 (+ 2) E = Market value of equity (current share price x no. shares) \newline % Row Count 5 (+ 2) D = Market value of debt \newline % Row Count 6 (+ 1) - Yield on similar risky debt (calc like bond) \newline % Row Count 7 (+ 1) r`e` = cost of equity (CAPM) \newline % Row Count 8 (+ 1) r`d` = Cost of debt (market yield) \newline % Row Count 9 (+ 1) - Yield is after tax to reflect the tac shield provided to shareholders, not bond holders \newline % Row Count 11 (+ 2) WACC = r`A` = (r`d` (1 - T) x (d/v) + (r`e` x E/V)) \newline % Row Count 13 (+ 2) `Modify WAA \textgreater{} need new re \textgreater{} B changes \textgreater{} new WACC`% Row Count 14 (+ 1) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Annuities}} \tn \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Equal in size, equal in space and it ends. \newline % Row Count 1 (+ 1) \$500 placed into an account each year earning 5\% PA comp annually. How much in 5 years? \newline % Row Count 3 (+ 2) FV = 500 ( (1.05)\textasciicircum{}5\textasciicircum{} - 1) / 0.05) = \$2763 \newline % Row Count 4 (+ 1) What is value of asset paying \$2.3m each year from 1 to 6 with 10\% PA (comp monthly)? \newline % Row Count 6 (+ 2) (1 + 0.1/12)\textasciicircum{}12\textasciicircum{} = 10.47\% \newline % Row Count 7 (+ 1) PV = 2.3 ( 1 - (1.1047)\textasciicircum{}-6\textasciicircum{}) / 0.1047) = \$9.88% Row Count 8 (+ 1) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Perpetuities}} \tn \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{PV of perpetuity = A / r \newline % Row Count 1 (+ 1) i.e BHP paid half yearly divided of \$0.58, share market expected to return 10\% PA comp 6 monthly, what is value of BHP? \newline % Row Count 4 (+ 3) PV = A / r = 0.58 / 0.05 = \$11.60 \newline % Row Count 5 (+ 1) 0.05 because 10\% divided into 6 months (and dividend paid 6 monthly also). \newline % Row Count 7 (+ 2) Annuity starting end of year 1 to 8; \newline % Row Count 8 (+ 1) PV = 100 ( 1 - (1.10)\textasciicircum{}-8\textasciicircum{} / 0.10) = \$533.4 \newline % Row Count 9 (+ 1) Annuity starting straight away (0 to 7) \newline % Row Count 10 (+ 1) PV = 95 ( 1 - (1.10)\textasciicircum{}-7\textasciicircum{} / 0.10) +95 = 557.9 \newline % Row Count 11 (+ 1) Deferred annuity, i.e 1.49 CF @ 10\% beginning in year 3. \newline % Row Count 13 (+ 2) PV = 1.49 ( ( 1 - ( 1+0.10 )\textasciicircum{}3\textasciicircum{} / 0.10 ) + (1.10)\textasciicircum{}2\textasciicircum{} \newline % Row Count 15 (+ 2) To bring forward to yr 0 we need to discount it at 10\% 2 times/periods.% Row Count 17 (+ 2) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{NPV tender price}} \tn \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Supply contract. 5 years and require supply of 1000 units at end of each year. Equip cost \$20m, annual operating expenses of \$7m. Straight line depreciation to zero and salvage value of \$5m. 40\% tax rate and required return is 10\% after tax. What price would you bid? \newline % Row Count 6 (+ 6) 0 = -20 + cash (1-(1.10)\textasciicircum{}-5\textasciicircum{} / 0.10) + 3/(1.10)\textasciicircum{}5\textasciicircum{} \newline % Row Count 8 (+ 2) {\bf{3 is salvage value of machine (5) less tax}} \newline % Row Count 9 (+ 1) Cash = 4.785. \newline % Row Count 10 (+ 1) Rev 12.308 \newline % Row Count 11 (+ 1) Exp 7 \newline % Row Count 12 (+ 1) Dep\_\_ 4 \newline % Row Count 13 (+ 1) PBT 1.308 \newline % Row Count 14 (+ 1) Tax\_\_ \newline % Row Count 15 (+ 1) PAT 0.785 \newline % Row Count 16 (+ 1) Dep\_\_ 4 \newline % Row Count 17 (+ 1) Cash 4.785% Row Count 18 (+ 1) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Business Valuation}} \tn \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Value of a firm = debt + equity \textasciitilde{} V = D + E \newline % Row Count 1 (+ 1) PV of debt; \newline % Row Count 2 (+ 1) What is MV of 10\% debentures redeemable in 10 years at face value of \$1, \newline % Row Count 4 (+ 2) when similar securities are yielding 5\%? \newline % Row Count 5 (+ 1) FV x Coupon \textasciitilde{} 1m * 0.10 = \$100 \newline % Row Count 6 (+ 1) PV`bond` = 100 (1 - (1.05)\textasciicircum{}-10\textasciicircum{} / 0.05) + (1m / (1.05)\textasciicircum{}10\textasciicircum{}) \newline % Row Count 8 (+ 2) =\$1,386,087. \newline % Row Count 9 (+ 1) Cost of purchase is \$1m and we get back \$1.3 so we BUY \newline % Row Count 11 (+ 2) PV of equity = share price x no. of shares \newline % Row Count 12 (+ 1) PE Ratio (P/E = payout ratio / r`e`-g)) \newline % Row Count 13 (+ 1) EPS is it a good indicator. Price = EPS x P/E% Row Count 14 (+ 1) } \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}