\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{andrewdefinis} \pdfinfo{ /Title (finance-exam-2.pdf) /Creator (Cheatography) /Author (andrewdefinis) /Subject (finance exam 2 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}{2470A3} \definecolor{LightBackground}{HTML}{F1F6F9} \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{finance exam 2 Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{andrewdefinis} via \textcolor{DarkBackground}{\uline{cheatography.com/35480/cs/11154/}}} \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}andrewdefinis \\ \uline{cheatography.com/andrewdefinis} \\ \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}} \\ \vspace{-2pt}Published 14th March, 2017.\\ Updated 14th March, 2017.\\ 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{1.9908 cm} x{2.9862 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{definitions}} \tn % Row 0 \SetRowColor{LightBackground} discounting & the compound reduction from FV to PV \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} compounding & the earning of interest on interest \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} compound interest & interest earned in subsequent periods on the interest earned in previous periods \tn % Row Count 8 (+ 4) % Row 3 \SetRowColor{white} lump-sum payment & one time payment at a PV or FV \tn % Row Count 10 (+ 2) % Row 4 \SetRowColor{LightBackground} TVM & key value that a dollar today is worth more than a dollar tomorrow \tn % Row Count 13 (+ 3) % Row 5 \SetRowColor{white} amortization schedule & listing of periodic interest expense, reduction in principal each period, ending balance for each period \tn % Row Count 18 (+ 5) % Row 6 \SetRowColor{LightBackground} amortized loan & loan in which interest and principal is paid each period \tn % Row Count 21 (+ 3) % Row 7 \SetRowColor{white} annuity & series of equal cash flows at regular intervals across time \tn % Row Count 24 (+ 3) % Row 8 \SetRowColor{LightBackground} annuity due & series of equal \& regular pmts at the beginning of a period \tn % Row Count 27 (+ 3) % Row 9 \SetRowColor{white} console (perpetual bonds) & stocks that pay interest forever, no maturity date, no promise to pay principal \tn % Row Count 31 (+ 4) \end{tabularx} \par\addvspace{1.3em} \vfill \columnbreak \begin{tabularx}{5.377cm}{x{1.9908 cm} x{2.9862 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{definitions (cont)}} \tn % Row 10 \SetRowColor{LightBackground} discount loan & loan where interest \& principal is repaid at maturity \tn % Row Count 3 (+ 3) % Row 11 \SetRowColor{white} interest only loan & loan where interest is paid regularly. principal \& final interest is paid at date due. \tn % Row Count 7 (+ 4) % Row 12 \SetRowColor{LightBackground} perpetuity & infinite regular \& equal pmts \tn % Row Count 9 (+ 2) % Row 13 \SetRowColor{white} APR & yearly uncompounded rate of interest \tn % Row Count 11 (+ 2) % Row 14 \SetRowColor{LightBackground} EAR (effective annual rate) & compound rate of interest per year \tn % Row Count 13 (+ 2) % Row 15 \SetRowColor{white} compounding period & period in which interest is applied \tn % Row Count 15 (+ 2) % Row 16 \SetRowColor{LightBackground} fisher effect & relationship which nominal interest rate is a function of the real rate, inflation, and product of inflation and real rate \tn % Row Count 21 (+ 6) % Row 17 \SetRowColor{white} maturity premium & the portion of the nominal interest rate that compensates the investor for additional waiting time to receive payment in full \tn % Row Count 27 (+ 6) % Row 18 \SetRowColor{LightBackground} nominal interest rate & interest rate composed of real interest rate plus the inflation rate \tn % Row Count 30 (+ 3) \end{tabularx} \par\addvspace{1.3em} \vfill \columnbreak \begin{tabularx}{5.377cm}{x{1.9908 cm} x{2.9862 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{definitions (cont)}} \tn % Row 19 \SetRowColor{LightBackground} periodic interest rate & the number of compounding periods per year \tn % Row Count 2 (+ 2) % Row 20 \SetRowColor{white} real interest rate & the reward for waiting \tn % Row Count 4 (+ 2) % Row 21 \SetRowColor{LightBackground} reward for waiting & real rate of interest paid for forgoing use of money today. \tn % Row Count 7 (+ 3) % Row 22 \SetRowColor{white} risk free rate & theoretical interest rate with zero risk of any kind \tn % Row Count 10 (+ 3) % Row 23 \SetRowColor{LightBackground} yield curve & graph relating return rate and an asset's time to maturity \tn % Row Count 13 (+ 3) % Row 24 \SetRowColor{white} basis point & one hundredth of a percentage point \tn % Row Count 15 (+ 2) % Row 25 \SetRowColor{LightBackground} bearer bond & bond where ownership to the possessor \tn % Row Count 17 (+ 2) % Row 26 \SetRowColor{white} Bone equivalent yield (BEY) & annual \% rate converted from bank discount rate on a treasury bill \tn % Row Count 20 (+ 3) % Row 27 \SetRowColor{LightBackground} callable bond & bond that issuer has the right to buy back prior to maturity at a predetermined price \tn % Row Count 24 (+ 4) % Row 28 \SetRowColor{white} convertible bond & right to swap bond for another asset, usually common stock, at a preset conversion ratio under certain conditions \tn % Row Count 29 (+ 5) % Row 29 \SetRowColor{LightBackground} corpus & bond with the coupons clipped off representing only principal \tn % Row Count 32 (+ 3) \end{tabularx} \par\addvspace{1.3em} \vfill \columnbreak \begin{tabularx}{5.377cm}{x{1.9908 cm} x{2.9862 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{definitions (cont)}} \tn % Row 30 \SetRowColor{LightBackground} coupon & regular interest pmt of bond \tn % Row Count 2 (+ 2) % Row 31 \SetRowColor{white} current yield & annual bond coupon pmt divided by current price \tn % Row Count 4 (+ 2) % Row 32 \SetRowColor{LightBackground} debentures & unsecured bonds \tn % Row Count 5 (+ 1) % Row 33 \SetRowColor{white} floating rate bond & bond with changing coupon rate \tn % Row Count 7 (+ 2) % Row 34 \SetRowColor{LightBackground} indenture & formal contract of a bond detailing important information \tn % Row Count 10 (+ 3) % Row 35 \SetRowColor{white} junor debt & debt subsequent to the other (senior) debt with lower priority of pmt \tn % Row Count 13 (+ 3) % Row 36 \SetRowColor{LightBackground} par value & principal amount to be paid at the maturity date \tn % Row Count 15 (+ 2) % Row 37 \SetRowColor{white} premium bond & bond that current value is above par value \tn % Row Count 17 (+ 2) % Row 38 \SetRowColor{LightBackground} prime rate & interest rate banks charge their best customers \tn % Row Count 19 (+ 2) % Row 39 \SetRowColor{white} protective covenant & part of the bond that spells out both required and prohibited actions of the bond issuer \tn % Row Count 23 (+ 4) % Row 40 \SetRowColor{LightBackground} putable bond & bond holder has the right to sell the bond back to the issuer at a determined price prior to maturity \tn % Row Count 28 (+ 5) % Row 41 \SetRowColor{white} sinking fund & special fund for the retirement of debt on bonds \tn % Row Count 30 (+ 2) \end{tabularx} \par\addvspace{1.3em} \vfill \columnbreak \begin{tabularx}{5.377cm}{x{1.9908 cm} x{2.9862 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{definitions (cont)}} \tn % Row 42 \SetRowColor{LightBackground} STRIPS & zero-coupon bonds made by separating the interest and principal on us. govt bonds \tn % Row Count 4 (+ 4) % Row 43 \SetRowColor{white} treasury bill & govt bond with a maturity less than one year \tn % Row Count 6 (+ 2) % Row 44 \SetRowColor{LightBackground} treasury bond & govt bond with maturity of more than ten years \tn % Row Count 8 (+ 2) % Row 45 \SetRowColor{white} treasury note & govt bond with a maturity between 2 and 10 years \tn % Row Count 10 (+ 2) % Row 46 \SetRowColor{LightBackground} yield to call & discount rate of return for a callable premium bond \tn % Row Count 13 (+ 3) % Row 47 \SetRowColor{white} yield to maturity (YTM) & return the holder receives if held on till maturity \tn % Row Count 16 (+ 3) % Row 48 \SetRowColor{LightBackground} zero-coupon bond & a bond that pays no coupons over its maturity \tn % Row Count 18 (+ 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}{formulas}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{compounding interest} \tn \mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}FVn=PVo(1+r)\textasciicircum{}n (finding fv)} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{} \tn \mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}PVo=FVo/ (1+r)\textasciicircum{}n (finding pv)} \tn % Row Count 3 (+ 1) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{} \tn \mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}n=ln(fv/pv)/ln(1+r) (finding time)} \tn % Row Count 4 (+ 1) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{} \tn \mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}R= (FVo * PVo) \textasciicircum{} (1/n) -1 (finding rate)} \tn % Row Count 5 (+ 1) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{FVn=} \tn \mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}PMT {[}((1 + r)n - 1) / r{]}} \tn % Row Count 7 (+ 2) % Row 5 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{PVt =} \tn \mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}PMT(t+1) {[}(1 - 1/(1 + r)n) / r{]}} \tn % Row Count 9 (+ 2) % Row 6 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{PVt =} \tn \mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}PMT(t+1) / r} \tn % Row Count 11 (+ 2) % Row 7 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Periodic Interest Rate} \tn \mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}r = APR / m} \tn % Row Count 13 (+ 2) % Row 8 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{EAR =} \tn \mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}(1 + APR/m)m - 1} \tn % Row Count 15 (+ 2) % Row 9 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{. r ≈} \tn \mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}r* + h} \tn % Row Count 17 (+ 2) % Row 10 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{r =} \tn \mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}r* + inf + dp + mp} \tn % Row Count 19 (+ 2) % Row 11 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Bond Price (PB) =} \tn \mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}Coupon PMT {[}(1 - 1/(1 + r)n) / r{]} + Par / (1 + r)n} \tn % Row Count 22 (+ 3) % Row 12 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{Current Yield =} \tn \mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}Annual Coupon PMT / PB} \tn % Row Count 24 (+ 2) % Row 13 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{YTM =} \tn \mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}(Par/PB)(1/n) – 1} \tn % Row Count 26 (+ 2) % Row 14 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{YTM ≈} \tn \mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}(Coupon + (Par –PB)/n) / {[}.4 Par + .6 PB{]}} \tn % Row Count 28 (+ 2) % Row 15 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Profit =} \tn \mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}ending value + distributions-original cost} \tn % Row Count 30 (+ 2) \end{tabularx} \par\addvspace{1.3em} \vfill \columnbreak \begin{tabularx}{5.377cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{formulas (cont)}} \tn % Row 16 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{HPR =} \tn \mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}(profit or loss)/original cost} \tn % Row Count 2 (+ 2) % Row 17 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Simple annual return =} \tn \mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}HPR/n} \tn % Row Count 4 (+ 2) % Row 18 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{EAR =} \tn \mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}(1 + HPR)(1/n) - 1} \tn % Row Count 6 (+ 2) % Row 19 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Variance (X) =} \tn \mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}{[}∑(Xi – Average)2{]} / (n – 1) = σ2 (Divisor of (n – 1) for sample and (n) for population)} \tn % Row Count 10 (+ 4) % Row 20 \SetRowColor{LightBackground} \mymulticolumn{1}{x{5.377cm}}{Standard Deviation =} \tn \mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}(σ2)(1/2) = σ} \tn % Row Count 12 (+ 2) % Row 21 \SetRowColor{white} \mymulticolumn{1}{x{5.377cm}}{Re =} \tn \mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}E (ri) = rf + βi {[}E(rm) - rf{]}} \tn % Row Count 14 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{p{0.4977 cm} p{0.4977 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{calculator input}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{} \tn % Row Count 0 (+ 0) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{p{0.4977 cm} p{0.4977 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{excel}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{} \tn % Row Count 0 (+ 0) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}