(* Content-type: application/mathematica *) (*** Wolfram Notebook File ***) (* http://www.wolfram.com/nb *) (* CreatedBy='Mathematica 7.0' *) (*CacheID: 234*) (* Internal cache information: NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 145, 7] NotebookDataLength[ 218363, 3737] NotebookOptionsPosition[ 41562, 1063] NotebookOutlinePosition[ 210914, 3512] CellTagsIndexPosition[ 210834, 3507] WindowFrame->Normal*) (* Beginning of Notebook Content *) Notebook[{ Cell[CellGroupData[{ Cell["", "SlideShowNavigationBar", CellTags->"SlideShowHeader"], Cell["Ratio Analysis", "Title"], Cell["\<\ Understanding business health through operational and profitability ratios\ \>", "Subtitle"], Cell["John D. Rockefeller", "TeacherName"], Cell["Accounting 203", "ClassName", CellChangeTimes->{{3.459964130921875*^9, 3.459964142203125*^9}}], Cell[CellGroupData[{ Cell["Lesson Overview", "Section"], Cell["Accounting, Finance, Business", "Course", CellChangeTimes->{{3.459964148390625*^9, 3.459964156375*^9}}], Cell["Presentation 30 min, activity 20 min", "ActivityLength"], Cell["\<\ Connections: Grades 9-12: Recognize and use connections among mathematical \ ideas Problem Solving: Grades 9-12: Solve problems that arise in mathematics and in \ other contexts.\ \>", "NCTMStandard", CellChangeTimes->{{3.4689624413391705`*^9, 3.468962474771321*^9}, { 3.468962520795206*^9, 3.4689625463692384`*^9}, {3.469137206453125*^9, 3.4691372095625*^9}, 3.469476176234375*^9}], Cell["Basic Understanding of Financial Statements", "Prerequisites", CellChangeTimes->{{3.4689623177999625`*^9, 3.4689623337782583`*^9}}], Cell["\<\ Students will learn the typical ratios used to analyze businesses and how to \ calculate \ \>", "Objectives", CellGroupingRules->{GroupTogetherGrouping, 10002.}, CellChangeTimes->{{3.4599641691875*^9, 3.459964179484375*^9}, { 3.4599642610625*^9, 3.459964278359375*^9}, 3.4689625792546005`*^9, 3.4694761795*^9}], Cell["Demonstration, group project, or individual work", "ActivityType"], Cell["\<\ John Webber, Math for Business and Life, Olympus Publishing Company, 2009, \ Fourth Edition\ \>", "ReferenceMaterial", CellChangeTimes->{{3.469132432484375*^9, 3.4691324585*^9}, { 3.469132495140625*^9, 3.469132524*^9}}], Cell["", "Spacer"] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell["", "SlideShowNavigationBar", CellTags->"SlideShowHeader"], Cell[CellGroupData[{ Cell["Instructor Presentation", "Section"], Cell[CellGroupData[{ Cell["Introduction", "Subsection"], Cell["\<\ Ratio analysis represents one the most mathematically straightforward and \ most important analysis concepts that Business, Finance and Accounting \ students should know. Ratio analysis is used by business in contexts of both \ internal and external exercises. The basis for the analysis always begins \ with the financial statements for the business. Two ideas should be \ stressed. First, even amongst business of similar nature and industry, \ variations in accounting techniques do exist and therefore, care should be \ taken in relying exclusively on the results of ratio analysis. Second, when \ using financial statements, the more current the statement the more \ accurately we can make conclusions.\ \>", "Text", CellChangeTimes->{{3.459964305953125*^9, 3.459964331046875*^9}, { 3.4689626016103983`*^9, 3.4689629932980843`*^9}, {3.469476189109375*^9, 3.4694761956875*^9}}] }, Open ]], Cell[CellGroupData[{ Cell["Goals", "Subsection"], Cell[CellGroupData[{ Cell["\<\ Students will be able to identify the basic categories of ratio analysis and \ where this type of analysis could be used appropriately.\ \>", "Item", CellChangeTimes->{{3.4689630331984606`*^9, 3.4689630519457006`*^9}, { 3.4689631985776196`*^9, 3.4689632233730664`*^9}, 3.469476198015625*^9}], Cell["Students will be able to calculate appropriate ratios.", "Item", CellChangeTimes->{{3.4689630989896064`*^9, 3.468963118144753*^9}, { 3.46913994003125*^9, 3.469139940046875*^9}}], Cell["\<\ Students will be able to describe business improvements that could effect the \ ratios being investigated.\ \>", "Item", CellChangeTimes->{{3.46913994125*^9, 3.46913994484375*^9}, { 3.469140040140625*^9, 3.469140043125*^9}, {3.469140221328125*^9, 3.46914024859375*^9}, {3.469140303109375*^9, 3.46914031840625*^9}}] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell["Notes", "Subsection"], Cell["\<\ Ratio analysis is one of the first steps in most processes. Ratios are used \ to give us a generalized indication of the health of a business. Ratio \ analysis should be used as a part of the evaluation process, not as the sole \ set in the evaluation process. Ratios analysis is based on the reported financial statements of businesses. \ We use industry financial data within this lesson plan with permission from \ Risk Management Associates. This notebook is part two of a three part series on Ratio Analysis. \ \>", "Text", CellChangeTimes->{{3.4689646060052633`*^9, 3.468964688239112*^9}, { 3.468964732223205*^9, 3.468964791316577*^9}, 3.469132534265625*^9, { 3.469132922328125*^9, 3.46913306509375*^9}, {3.4702978600625*^9, 3.47029786615625*^9}}] }, Open ]] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell["", "SlideShowNavigationBar", CellTags->"SlideShowHeader"], Cell[CellGroupData[{ Cell["Concept Exploration", "Section", CellChangeTimes->{{3.4462996971190157`*^9, 3.446299723414039*^9}, { 3.456614564946227*^9, 3.4566145737392273`*^9}}], Cell[CellGroupData[{ Cell["Basic Categories of Ratio Analysis", "Subsection", CellChangeTimes->{{3.4689632291852317`*^9, 3.468963238747181*^9}, { 3.4689637394661064`*^9, 3.468963740028599*^9}}], Cell["\<\ Business are compared and evaluated for many different reasons and in many \ different ways. The two primary ways are through Trend Analysis and through \ Ratio Analysis. Trend Analysis is used to measure year to year within the \ business. This lesson covers Ratio Analysis; the analysis of the performance \ of business against other businesses in it's industry. First of all realize that not all ratios are created equal. Most people, \ depending on their focus, are only concerned with a few of the different \ ratios. Ratios can be categorized as:\ \>", "Text", CellChangeTimes->{{3.4689633094462337`*^9, 3.468963416926405*^9}, { 3.4689637435754285`*^9, 3.468963743747301*^9}, {3.469132568140625*^9, 3.469132600953125*^9}, {3.469132714046875*^9, 3.469132806390625*^9}, { 3.469133149890625*^9, 3.469133160171875*^9}, {3.469133401234375*^9, 3.469133403671875*^9}, {3.469133515078125*^9, 3.469133539046875*^9}, { 3.4691339631875*^9, 3.46913405053125*^9}, {3.4711705715352397`*^9, 3.4711705953312006`*^9}}], Cell[CellGroupData[{ Cell["Liquidity Ratios", "Item", CellChangeTimes->{{3.468963250996475*^9, 3.468963261120892*^9}, { 3.4689635285016737`*^9, 3.468963533376549*^9}, {3.469134066921875*^9, 3.469134073125*^9}}], Cell["Leverage Ratios", "Item", CellChangeTimes->{{3.468963262511437*^9, 3.468963269729771*^9}, { 3.46913407675*^9, 3.469134081765625*^9}}], Cell["Operational Ratios", "Item", CellChangeTimes->{{3.468963271104692*^9, 3.4689632790417347`*^9}, { 3.46913408696875*^9, 3.46913409275*^9}}], Cell["Profitability Ratios", "Item", CellChangeTimes->{{3.4689632808072577`*^9, 3.468963287744358*^9}}], Cell["Market Value Ratios", "Item", CellChangeTimes->{{3.4689632890099106`*^9, 3.468963296259493*^9}}] }, Open ]], Cell["\<\ Financial ratio analysis groups the ratios into categories which tell us \ about different facets of a company's finances and operations. An overview \ of some of the categories of ratios is given below. \[CenterDot]\t \ \>", "Text", CellChangeTimes->{{3.468963475768648*^9, 3.4689635142051644`*^9}, { 3.4689635781879015`*^9, 3.468963590484462*^9}, 3.469051190515625*^9, { 3.46905204959375*^9, 3.4690520505*^9}, {3.46905220171875*^9, 3.469052218796875*^9}, 3.469052264140625*^9, {3.46913444446875*^9, 3.46913446928125*^9}, 3.469134666203125*^9, 3.469137247546875*^9, { 3.46913765665625*^9, 3.469137664625*^9}, 3.46914037825*^9, 3.4711705844253693`*^9, {3.4711706528144207`*^9, 3.4711706562988625`*^9}}] }, Open ]] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell["", "SlideShowNavigationBar", CellTags->"SlideShowHeader"], Cell[CellGroupData[{ Cell["Further Exploration", "Section", CellChangeTimes->{{3.4462996971190157`*^9, 3.446299723414039*^9}, { 3.456614564946227*^9, 3.4566145737392273`*^9}, {3.4689637185288744`*^9, 3.468963719778858*^9}}], Cell[CellGroupData[{ Cell["Defining Basic Purposes for Ratio Use", "Subsection", CellChangeTimes->{{3.4572682917399263`*^9, 3.457268298197912*^9}, { 3.45726861307681*^9, 3.4572686272230935`*^9}, {3.468963726060028*^9, 3.468963763918918*^9}}], Cell["\<\ Depending on the goal of the financial analysis, different ratio categories \ may be used. Here is a simple overview of some common ratio categories.\ \>", "Text", CellChangeTimes->{{3.4689650414868507`*^9, 3.468965062408592*^9}, { 3.4689651172207413`*^9, 3.4689651687204113`*^9}, 3.469476200046875*^9}], Cell[CellGroupData[{ Cell["Liquidity Ratios", "Item", CellChangeTimes->{{3.468963250996475*^9, 3.468963261120892*^9}, { 3.4689635285016737`*^9, 3.468963533376549*^9}, {3.46913416528125*^9, 3.469134168609375*^9}}], Cell["\<\ Liquidity rations are also known as Short term Solvency ratios. These ratios \ are important when cash reserves are important, when payments are expected, \ and for industries that use cash in many transactions. This ratio category \ tell people about the capability of the company to pay near term payment \ requirements.\ \>", "Subitem", CellChangeTimes->{{3.4689638461522408`*^9, 3.4689639295261736`*^9}, { 3.4689643247101884`*^9, 3.46896440567842*^9}, {3.469134171203125*^9, 3.46913418653125*^9}, {3.46913435496875*^9, 3.46913435778125*^9}}], Cell["Leverage Ratios", "Item", CellChangeTimes->{{3.468963262511437*^9, 3.468963269729771*^9}, { 3.469134318765625*^9, 3.469134323703125*^9}}], Cell["\<\ Leverage Ratios are also know as Debt Management ratios. These ratios are \ important to people who are offering the business loans and for people \ interested in investing in the company. This ratio informs people about how \ well the business controls its outstanding debt.\ \>", "Subitem", CellChangeTimes->{{3.468964226960814*^9, 3.468964312272768*^9}, { 3.46913432540625*^9, 3.4691343478125*^9}}], Cell["Operational Ratios", "Item", CellChangeTimes->{{3.468963271104692*^9, 3.4689632790417347`*^9}, { 3.46913468453125*^9, 3.46913471046875*^9}}], Cell["\<\ Firms use their assets to generate revenue. A business may buy machines to \ increase production or they may retain cash for short term obligations. The \ decisions that the business managers make determine how much revenue is \ generated. This ratio category helps us understand Management decisions and \ asset balance decisions.\ \>", "Subitem", CellChangeTimes->{{3.4689644319751267`*^9, 3.4689646000053015`*^9}, { 3.468964804269619*^9, 3.468964820972637*^9}}], Cell["Profitability Ratios", "Item", CellChangeTimes->{{3.4689632808072577`*^9, 3.468963287744358*^9}}], Cell["\<\ Investors and owners are very interested in getting a return on the money \ they have invested in the business. Therefore, Profitability Ratios have \ been developed to monitor how likely an investment will pay its owners back. \ \>", "Subitem", CellChangeTimes->{{3.4689648355819187`*^9, 3.468964962206108*^9}, 3.469476203921875*^9}], Cell["Market Value Ratios", "Item", CellChangeTimes->{{3.4689632890099106`*^9, 3.468963296259493*^9}}], Cell["\<\ Market Value Ratios deal with publicly traded businesses and deal with the \ trading price of the stock and its underlying value.\ \>", "Subitem", CellChangeTimes->{{3.468965197235854*^9, 3.468965241219948*^9}, { 3.46913572*^9, 3.469135720921875*^9}, 3.469476218921875*^9}] }, Open ]] }, Open ]] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell["", "SlideShowNavigationBar", CellTags->"SlideShowHeader"], Cell[CellGroupData[{ Cell["Deeper Exploration", "Section", CellChangeTimes->{{3.4462996971190157`*^9, 3.446299723414039*^9}, { 3.456614564946227*^9, 3.4566145737392273`*^9}, {3.4689637185288744`*^9, 3.468963719778858*^9}, {3.469135305453125*^9, 3.469135307984375*^9}, 3.469476241296875*^9}], Cell[CellGroupData[{ Cell["Operational Ratios", "Subsection", CellChangeTimes->{{3.4572682917399263`*^9, 3.457268298197912*^9}, { 3.45726861307681*^9, 3.4572686272230935`*^9}, {3.457268717159734*^9, 3.4572687181590295`*^9}, {3.468965248391777*^9, 3.4689652568917227`*^9}, { 3.46913531378125*^9, 3.469135316875*^9}, {3.469135618609375*^9, 3.4691356203125*^9}}], Cell["\<\ Inventory Turnover - Measures how many times per year the value of inventory \ is sold. This is a measure of how well management knows the demands of their \ customers and how well they execute supplier contracts.\ \>", "Text", CellChangeTimes->{{3.4691365714375*^9, 3.469136594234375*^9}, 3.46913934684375*^9, {3.469214968440503*^9, 3.4692149772995377`*^9}, { 3.469215413784176*^9, 3.469215424518207*^9}, {3.4692160166398835`*^9, 3.4692160311862926`*^9}, {3.4692160813878117`*^9, 3.4692162048213615`*^9}, {3.4692166112614803`*^9, 3.469216612355195*^9}, { 3.4692991434766817`*^9, 3.46929917041263*^9}, {3.469300854521862*^9, 3.4693009006421385`*^9}}], Cell[TextData[{ "Inventory Turnover = ", Cell[BoxData[ FormBox[ FractionBox[ RowBox[{"Cost", " ", "of", " ", "Goods", " ", "Sold"}], RowBox[{"Average", " ", "Inventory"}]], TraditionalForm]]] }], "MathCaption", CellChangeTimes->{{3.469136378203125*^9, 3.4691364525*^9}, { 3.4692162119773827`*^9, 3.469216234836026*^9}, {3.46929919045835*^9, 3.4692992209253454`*^9}}], Cell["", "Text"], Cell["\<\ Receivables turnover shows how quickly a firm collects its trade receivables \ and hence how good it is at collecting customer debts. This is a measure \ that tells how effective management is at affecting cash flow from receivables\ \>", "Text", CellChangeTimes->{{3.4691365714375*^9, 3.469136594234375*^9}, 3.46913934684375*^9, {3.469214968440503*^9, 3.4692149772995377`*^9}, { 3.469215413784176*^9, 3.469215424518207*^9}, {3.4692160166398835`*^9, 3.4692160311862926`*^9}, {3.4692160813878117`*^9, 3.4692162048213615`*^9}, {3.4692166112614803`*^9, 3.469216612355195*^9}, { 3.469299857062218*^9, 3.4692998677808313`*^9}, {3.469299941389264*^9, 3.469300015529129*^9}, 3.469300694399784*^9}], Cell[TextData[{ "Receivables Turnover = ", Cell[BoxData[ FormBox[ FractionBox[ RowBox[{"Annual", " ", "Sales"}], RowBox[{"Trade", " ", "Receivables"}]], TraditionalForm]]] }], "MathCaption", CellChangeTimes->{{3.469136378203125*^9, 3.4691364525*^9}, { 3.4692162119773827`*^9, 3.469216234836026*^9}, {3.4692998733120103`*^9, 3.469299917561444*^9}}] }, Open ]] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell["", "SlideShowNavigationBar", CellTags->"SlideShowHeader"], Cell[CellGroupData[{ Cell["Examples", "Section"], Cell[CellGroupData[{ Cell["3. Operational Ratios - Examples", "Subsection", CellChangeTimes->{{3.468965274704108*^9, 3.468965288032148*^9}, { 3.469135326609375*^9, 3.46913532865625*^9}, {3.469135627140625*^9, 3.469135629390625*^9}, {3.4693005630881248`*^9, 3.4693005710880737`*^9}}], Cell["\<\ 3.1 Calculate the Inventory Turnover ratio for the Halifax Group, Inc based \ on:\ \>", "MathCaption", CellChangeTimes->{{3.457268957288084*^9, 3.457268962301944*^9}, { 3.46913937746875*^9, 3.469139401671875*^9}, {3.469139452921875*^9, 3.469139501671875*^9}, {3.4691398535625*^9, 3.4691398776875*^9}, { 3.4692136217987633`*^9, 3.4692136237045135`*^9}, {3.469214636468876*^9, 3.4692146507652025`*^9}, {3.4692166771343718`*^9, 3.469216677353115*^9}, { 3.469220179014196*^9, 3.469220210560465*^9}, {3.469300574525552*^9, 3.469300574822425*^9}, {3.469300612712807*^9, 3.469300642712615*^9}}], Cell[CellGroupData[{ Cell["\<\ Cost of Goods Sold - $1,358,000 and Average Inventory - $405,500\ \>", "Item", CellGroupingRules->{GroupTogetherGrouping, 10000.}, CellChangeTimes->{{3.469139510828125*^9, 3.469139636765625*^9}, 3.4692135974301596`*^9, {3.469213630655814*^9, 3.4692136452769766`*^9}, { 3.4692202150291295`*^9, 3.469220260153263*^9}, {3.469300649400072*^9, 3.4693006820248632`*^9}}], Cell["", "Answer", CellGroupingRules->{GroupTogetherGrouping, 10000.}, CellChangeTimes->{3.4692135974301596`*^9}] }, Open ]], Cell["\<\ 3.2 Calculate the Receivables Turnover for the Johnson Company if annual \ sales is $2.4M and the are maintaining a receivable ledger of $750,000: \ \>", "MathCaption", CellChangeTimes->{{3.457268957288084*^9, 3.457268962301944*^9}, { 3.46913937746875*^9, 3.469139401671875*^9}, {3.469139452921875*^9, 3.469139501671875*^9}, {3.4691398535625*^9, 3.4691398776875*^9}, { 3.469213694217256*^9, 3.4692137844904375`*^9}, {3.469213877685727*^9, 3.4692139166656113`*^9}, {3.4692166831185555`*^9, 3.4692166832591763`*^9}, { 3.4692213622883515`*^9, 3.46922137199129*^9}, {3.4692214213965917`*^9, 3.469221441739951*^9}, {3.4693005811036344`*^9, 3.469300581384883*^9}, { 3.46931321521875*^9, 3.469313219296875*^9}, {3.4693948930951457`*^9, 3.4693949843590183`*^9}}], Cell["", "Answer", CellGroupingRules->{GroupTogetherGrouping, 10000.}, CellChangeTimes->{3.4692135974301596`*^9}], Cell["\<\ 3.3 You have been asked to comment on how to quickly increase your \ Receivables Turnover Ratio. What would you suggest the company do?: \ \>", "MathCaption", CellChangeTimes->{{3.457268957288084*^9, 3.457268962301944*^9}, { 3.46913937746875*^9, 3.469139401671875*^9}, {3.469139452921875*^9, 3.469139501671875*^9}, {3.4691398535625*^9, 3.4691398776875*^9}, { 3.469213694217256*^9, 3.4692137844904375`*^9}, {3.469213877685727*^9, 3.4692139166656113`*^9}, {3.4692166831185555`*^9, 3.4692166832591763`*^9}, { 3.4692213622883515`*^9, 3.46922137199129*^9}, {3.4692214213965917`*^9, 3.469221441739951*^9}, {3.4693005811036344`*^9, 3.469300581384883*^9}, { 3.46931321521875*^9, 3.469313219296875*^9}, {3.4693946685994563`*^9, 3.469394674849336*^9}, {3.4693948527365456`*^9, 3.469394856564597*^9}, { 3.4693949961244173`*^9, 3.469395082341512*^9}}], Cell["", "Answer", CellGroupingRules->{GroupTogetherGrouping, 10000.}, CellChangeTimes->{3.4692135974301596`*^9}] }, Open ]] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell["", "SlideShowNavigationBar", CellTags->"SlideShowHeader"], Cell[CellGroupData[{ Cell["Deeper Exploration", "Section", CellChangeTimes->{{3.4462996971190157`*^9, 3.446299723414039*^9}, { 3.456614564946227*^9, 3.4566145737392273`*^9}, {3.4689637185288744`*^9, 3.468963719778858*^9}, {3.469135305453125*^9, 3.469135307984375*^9}, 3.4694762466875*^9}], Cell[CellGroupData[{ Cell["Profitability Ratios", "Subsection", CellChangeTimes->{{3.4572682917399263`*^9, 3.457268298197912*^9}, { 3.45726861307681*^9, 3.4572686272230935`*^9}, {3.457268717159734*^9, 3.4572687181590295`*^9}, {3.468965248391777*^9, 3.4689652568917227`*^9}, { 3.46913531378125*^9, 3.469135316875*^9}, {3.469135674015625*^9, 3.469135676796875*^9}}], Cell["\<\ Profit Margin, before tax measures the efficiency of the business to turn \ sales dollars into net income.\ \>", "Text", CellChangeTimes->{{3.4691365714375*^9, 3.469136594234375*^9}, 3.46913934684375*^9, {3.469214968440503*^9, 3.4692149772995377`*^9}, { 3.469215413784176*^9, 3.469215424518207*^9}, {3.4692160166398835`*^9, 3.4692160311862926`*^9}, {3.4692160813878117`*^9, 3.4692162048213615`*^9}, {3.4692166112614803`*^9, 3.469216612355195*^9}, { 3.4692991434766817`*^9, 3.46929917041263*^9}, {3.469300854521862*^9, 3.4693009006421385`*^9}, {3.469393649056532*^9, 3.469393688462025*^9}, { 3.4693951969486866`*^9, 3.4693952009329853`*^9}, {3.46939578777599*^9, 3.4693958057896996`*^9}}], Cell[TextData[{ "Profit Margin = ", Cell[BoxData[ FormBox[ FractionBox[ RowBox[{"Net", " ", "Income"}], RowBox[{"Net", " ", "Sales"}]], TraditionalForm]]] }], "MathCaption", CellChangeTimes->{{3.469136378203125*^9, 3.4691364525*^9}, { 3.4692162119773827`*^9, 3.469216234836026*^9}, {3.46929919045835*^9, 3.4692992209253454`*^9}, {3.469393877395898*^9, 3.469393896379908*^9}, { 3.469394030017967*^9, 3.469394031580437*^9}, {3.4693942592166915`*^9, 3.4693942630291185`*^9}, {3.469395186480138*^9, 3.469395188995714*^9}, 3.46939536763291*^9, {3.469395627440421*^9, 3.469395627612293*^9}}], Cell["", "Text"], Cell["\<\ Return on Equity is a measure of profitability to the business owners as a \ percent of the moneys invested.\ \>", "Text", CellChangeTimes->{{3.4691365714375*^9, 3.469136594234375*^9}, 3.46913934684375*^9, {3.469214968440503*^9, 3.4692149772995377`*^9}, { 3.469215413784176*^9, 3.469215424518207*^9}, {3.4692160166398835`*^9, 3.4692160311862926`*^9}, {3.4692160813878117`*^9, 3.4692162048213615`*^9}, {3.4692166112614803`*^9, 3.469216612355195*^9}, { 3.469299857062218*^9, 3.4692998677808313`*^9}, {3.469299941389264*^9, 3.469300015529129*^9}, 3.469300694399784*^9, {3.469394039924027*^9, 3.469394086579381*^9}, {3.4693941912804956`*^9, 3.4693941976553736`*^9}}], Cell[TextData[{ "Return on Equity = ", Cell[BoxData[ FormBox[ FractionBox[ RowBox[{ RowBox[{"Net", " ", "income"}], " ", "-", " ", "Taxes"}], "Equity"], TraditionalForm]]] }], "MathCaption", CellChangeTimes->{{3.469136378203125*^9, 3.4691364525*^9}, { 3.4692162119773827`*^9, 3.469216234836026*^9}, {3.4692998733120103`*^9, 3.469299917561444*^9}, {3.4693942039052534`*^9, 3.46939425382617*^9}, { 3.4693951673711295`*^9, 3.46939518246459*^9}}] }, Open ]] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell["", "SlideShowNavigationBar", CellTags->"SlideShowHeader"], Cell[CellGroupData[{ Cell["Examples", "Section"], Cell[CellGroupData[{ Cell["4. Profitability Ratios - Examples", "Subsection", CellChangeTimes->{{3.468965274704108*^9, 3.468965288032148*^9}, { 3.469135326609375*^9, 3.46913532865625*^9}, {3.46913568159375*^9, 3.46913569053125*^9}, {3.469396647500018*^9, 3.4693966529369264`*^9}}], Cell["\<\ 4.1 Calculate the Profit Margin ratio for the Talley Games, Inc based on:\ \>", "MathCaption", CellChangeTimes->{{3.457268957288084*^9, 3.457268962301944*^9}, { 3.46913937746875*^9, 3.469139401671875*^9}, {3.469139452921875*^9, 3.469139501671875*^9}, {3.4691398535625*^9, 3.4691398776875*^9}, { 3.4692136217987633`*^9, 3.4692136237045135`*^9}, {3.469214636468876*^9, 3.4692146507652025`*^9}, {3.4692166771343718`*^9, 3.469216677353115*^9}, { 3.469220179014196*^9, 3.469220210560465*^9}, {3.469300574525552*^9, 3.469300574822425*^9}, {3.469300612712807*^9, 3.469300642712615*^9}, { 3.4693956044564877`*^9, 3.4693956189718337`*^9}, {3.4693966561709495`*^9, 3.469396656530285*^9}}], Cell[CellGroupData[{ Cell["Net Sales - $350,000 and Net Income - $105,500", "Item", CellGroupingRules->{GroupTogetherGrouping, 10000.}, CellChangeTimes->{{3.469139510828125*^9, 3.469139636765625*^9}, 3.4692135974301596`*^9, {3.469213630655814*^9, 3.4692136452769766`*^9}, { 3.4692202150291295`*^9, 3.469220260153263*^9}, {3.469300649400072*^9, 3.4693006820248632`*^9}, {3.4693956383152122`*^9, 3.46939566812714*^9}}], Cell["", "Answer", CellGroupingRules->{GroupTogetherGrouping, 10000.}, CellChangeTimes->{3.4692135974301596`*^9}] }, Open ]], Cell["4.2 Calculate the Return on Equity for: ", "MathCaption", CellChangeTimes->{{3.457268957288084*^9, 3.457268962301944*^9}, { 3.46913937746875*^9, 3.469139401671875*^9}, {3.469139452921875*^9, 3.469139501671875*^9}, {3.4691398535625*^9, 3.4691398776875*^9}, { 3.469213694217256*^9, 3.4692137844904375`*^9}, {3.469213877685727*^9, 3.4692139166656113`*^9}, {3.4692166831185555`*^9, 3.4692166832591763`*^9}, { 3.4692213622883515`*^9, 3.46922137199129*^9}, {3.4692214213965917`*^9, 3.469221441739951*^9}, {3.4693005811036344`*^9, 3.469300581384883*^9}, { 3.46931321521875*^9, 3.469313219296875*^9}, {3.4693948930951457`*^9, 3.4693949843590183`*^9}, {3.4693961424875402`*^9, 3.469396172444399*^9}, { 3.469396659576829*^9, 3.4693966598580484`*^9}}], Cell["\<\ Money invested in the company - $500,000 , Taxes paid this year - $25,000 and \ Net Income - $130,000\ \>", "Item", CellChangeTimes->{{3.469396186032755*^9, 3.469396193732823*^9}, { 3.4693963104364967`*^9, 3.46939635472386*^9}}], Cell["", "Answer", CellGroupingRules->{GroupTogetherGrouping, 10000.}, CellChangeTimes->{3.4692135974301596`*^9}], Cell["\<\ 4.3 Profit margin looks at Net Income before taxes and Return on Equity \ involves Net Income after taxes are paid. Why would owners be more \ interested in the Return on Equity Ratio?: \ \>", "MathCaption", CellChangeTimes->{{3.457268957288084*^9, 3.457268962301944*^9}, { 3.46913937746875*^9, 3.469139401671875*^9}, {3.469139452921875*^9, 3.469139501671875*^9}, {3.4691398535625*^9, 3.4691398776875*^9}, { 3.469213694217256*^9, 3.4692137844904375`*^9}, {3.469213877685727*^9, 3.4692139166656113`*^9}, {3.4692166831185555`*^9, 3.4692166832591763`*^9}, { 3.4692213622883515`*^9, 3.46922137199129*^9}, {3.4692214213965917`*^9, 3.469221441739951*^9}, {3.4693005811036344`*^9, 3.469300581384883*^9}, { 3.46931321521875*^9, 3.469313219296875*^9}, {3.4693946685994563`*^9, 3.469394674849336*^9}, {3.4693948527365456`*^9, 3.469394856564597*^9}, { 3.4693949961244173`*^9, 3.469395082341512*^9}, {3.469396371501995*^9, 3.4693964657188807`*^9}, {3.469396662779605*^9, 3.469396663029578*^9}, { 3.46947176403125*^9, 3.46947178509375*^9}}], Cell["", "Answer", CellGroupingRules->{GroupTogetherGrouping, 10000.}, CellChangeTimes->{3.4692135974301596`*^9}] }, Open ]] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell["", "SlideShowNavigationBar", CellTags->"SlideShowHeader"], Cell[CellGroupData[{ Cell["3. Operational Ratios - Examples", "Subsection", CellChangeTimes->{{3.468965274704108*^9, 3.468965288032148*^9}, { 3.469135326609375*^9, 3.46913532865625*^9}, {3.469135627140625*^9, 3.469135629390625*^9}, {3.4693005630881248`*^9, 3.4693005710880737`*^9}}], Cell["\<\ 3.1 Calculate the Inventory Turnover ratio for the Halifax Group, Inc based \ on:\ \>", "MathCaption", CellChangeTimes->{{3.457268957288084*^9, 3.457268962301944*^9}, { 3.46913937746875*^9, 3.469139401671875*^9}, {3.469139452921875*^9, 3.469139501671875*^9}, {3.4691398535625*^9, 3.4691398776875*^9}, { 3.4692136217987633`*^9, 3.4692136237045135`*^9}, {3.469214636468876*^9, 3.4692146507652025`*^9}, {3.4692166771343718`*^9, 3.469216677353115*^9}, { 3.469220179014196*^9, 3.469220210560465*^9}, {3.469300574525552*^9, 3.469300574822425*^9}, {3.469300612712807*^9, 3.469300642712615*^9}}], Cell["\<\ Cost of Goods Sold - $1,358,000 and Average Inventory - $405,500\ \>", "Item", CellGroupingRules->{GroupTogetherGrouping, 10000.}, CellChangeTimes->{{3.469139510828125*^9, 3.469139636765625*^9}, 3.4692135974301596`*^9, {3.469213630655814*^9, 3.4692136452769766`*^9}, { 3.4692202150291295`*^9, 3.469220260153263*^9}, {3.469300649400072*^9, 3.4693006820248632`*^9}}], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ RowBox[{"cogs", "=", "1358000"}], ";", RowBox[{"invent", "=", "405500"}], ";", RowBox[{"inventoryturns", "=", RowBox[{"N", "[", RowBox[{ RowBox[{"cogs", "/", "invent"}], ",", "3"}], "]"}]}]}]], "Input", CellChangeTimes->{{3.4694744025*^9, 3.4694744405625*^9}}], Cell[BoxData["3.3489519112207151664`3."], "Output", CellChangeTimes->{3.46947444190625*^9}] }, Open ]], Cell["Halifax turns their inventory 3.35 times per year.", "Answer", CellGroupingRules->{GroupTogetherGrouping, 10000.}, CellChangeTimes->{ 3.4692135974301596`*^9, {3.4694744485*^9, 3.469474463109375*^9}}], Cell["\<\ 3.2 Calculate the Receivables Turnover for the Johnson Company if annual \ sales is $2.4M and the are maintaining a receivable ledger of $750,000: \ \>", "MathCaption", CellChangeTimes->{{3.457268957288084*^9, 3.457268962301944*^9}, { 3.46913937746875*^9, 3.469139401671875*^9}, {3.469139452921875*^9, 3.469139501671875*^9}, {3.4691398535625*^9, 3.4691398776875*^9}, { 3.469213694217256*^9, 3.4692137844904375`*^9}, {3.469213877685727*^9, 3.4692139166656113`*^9}, {3.4692166831185555`*^9, 3.4692166832591763`*^9}, { 3.4692213622883515`*^9, 3.46922137199129*^9}, {3.4692214213965917`*^9, 3.469221441739951*^9}, {3.4693005811036344`*^9, 3.469300581384883*^9}, { 3.46931321521875*^9, 3.469313219296875*^9}, {3.4693948930951457`*^9, 3.4693949843590183`*^9}}], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ RowBox[{"revenue", "=", "2400000"}], ";", RowBox[{"ar", "=", "750000"}], ";", RowBox[{"receivablesturnover", "=", RowBox[{"N", "[", RowBox[{ RowBox[{"revenue", "/", "ar"}], ",", "3"}], "]"}]}]}]], "Input", CellChangeTimes->{{3.469474478234375*^9, 3.469474531140625*^9}}], Cell[BoxData["3.2`3."], "Output", CellChangeTimes->{3.469474532359375*^9}] }, Open ]], Cell["\<\ The Johnson Company is collecting its receivables on average 3.2 times per \ year.\ \>", "Answer", CellGroupingRules->{GroupTogetherGrouping, 10000.}, CellChangeTimes->{ 3.4692135974301596`*^9, {3.469474544703125*^9, 3.46947460484375*^9}}], Cell["\<\ 3.3 You have been asked to comment on how to quickly increase your \ Receivables Turnover Ratio. What would you suggest the company do?: \ \>", "MathCaption", CellChangeTimes->{{3.457268957288084*^9, 3.457268962301944*^9}, { 3.46913937746875*^9, 3.469139401671875*^9}, {3.469139452921875*^9, 3.469139501671875*^9}, {3.4691398535625*^9, 3.4691398776875*^9}, { 3.469213694217256*^9, 3.4692137844904375`*^9}, {3.469213877685727*^9, 3.4692139166656113`*^9}, {3.4692166831185555`*^9, 3.4692166832591763`*^9}, { 3.4692213622883515`*^9, 3.46922137199129*^9}, {3.4692214213965917`*^9, 3.469221441739951*^9}, {3.4693005811036344`*^9, 3.469300581384883*^9}, { 3.46931321521875*^9, 3.469313219296875*^9}, {3.4693946685994563`*^9, 3.469394674849336*^9}, {3.4693948527365456`*^9, 3.469394856564597*^9}, { 3.4693949961244173`*^9, 3.469395082341512*^9}}], Cell["\<\ Since Receivables Turnover is sales divided by Accounts Receivables we can \ only effect change through these two factors. Sales could be changed by \ discounting prices to move more product, by traditionally sales provides slow \ changes. The quickest way is to increase the level of receivables being \ collected. Look at all sales at or beyond your credit term and begin credit \ calls to obtain payment.\ \>", "Answer", CellGroupingRules->{GroupTogetherGrouping, 10000.}, CellChangeTimes->{ 3.4692135974301596`*^9, {3.46947462915625*^9, 3.469474830796875*^9}}] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell["", "SlideShowNavigationBar", CellTags->"SlideShowHeader"], Cell[CellGroupData[{ Cell["4. Profitability Ratios - Examples", "Subsection", CellChangeTimes->{{3.468965274704108*^9, 3.468965288032148*^9}, { 3.469135326609375*^9, 3.46913532865625*^9}, {3.46913568159375*^9, 3.46913569053125*^9}, {3.469396647500018*^9, 3.4693966529369264`*^9}}], Cell["\<\ 4.1 Calculate the Profit Margin ratio for the Talley Games, Inc based on:\ \>", "MathCaption", CellChangeTimes->{{3.457268957288084*^9, 3.457268962301944*^9}, { 3.46913937746875*^9, 3.469139401671875*^9}, {3.469139452921875*^9, 3.469139501671875*^9}, {3.4691398535625*^9, 3.4691398776875*^9}, { 3.4692136217987633`*^9, 3.4692136237045135`*^9}, {3.469214636468876*^9, 3.4692146507652025`*^9}, {3.4692166771343718`*^9, 3.469216677353115*^9}, { 3.469220179014196*^9, 3.469220210560465*^9}, {3.469300574525552*^9, 3.469300574822425*^9}, {3.469300612712807*^9, 3.469300642712615*^9}, { 3.4693956044564877`*^9, 3.4693956189718337`*^9}, {3.4693966561709495`*^9, 3.469396656530285*^9}}], Cell["Net Sales - $350,000 and Net Income - $105,500", "Item", CellGroupingRules->{GroupTogetherGrouping, 10000.}, CellChangeTimes->{{3.469139510828125*^9, 3.469139636765625*^9}, 3.4692135974301596`*^9, {3.469213630655814*^9, 3.4692136452769766`*^9}, { 3.4692202150291295`*^9, 3.469220260153263*^9}, {3.469300649400072*^9, 3.4693006820248632`*^9}, {3.4693956383152122`*^9, 3.46939566812714*^9}}], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ RowBox[{"netincome", "=", "105000"}], ";", RowBox[{"netsales", "=", "350000"}], ";", RowBox[{"profitmargin", "=", RowBox[{"N", "[", RowBox[{ RowBox[{"netincome", "/", "netsales"}], ",", "3"}], "]"}]}]}]], "Input", CellChangeTimes->{{3.469474923515625*^9, 3.469474953*^9}}], Cell[BoxData["0.3`3."], "Output", CellChangeTimes->{3.469474954125*^9}] }, Open ]], Cell["\<\ The Profit Margin for Talley Games is 0.30 or a 30% profit margin.\ \>", "Answer", CellGroupingRules->{GroupTogetherGrouping, 10000.}, CellChangeTimes->{ 3.4692135974301596`*^9, {3.469474960375*^9, 3.469474986296875*^9}}], Cell["4.2 Calculate the Return on Equity for: ", "MathCaption", CellChangeTimes->{{3.457268957288084*^9, 3.457268962301944*^9}, { 3.46913937746875*^9, 3.469139401671875*^9}, {3.469139452921875*^9, 3.469139501671875*^9}, {3.4691398535625*^9, 3.4691398776875*^9}, { 3.469213694217256*^9, 3.4692137844904375`*^9}, {3.469213877685727*^9, 3.4692139166656113`*^9}, {3.4692166831185555`*^9, 3.4692166832591763`*^9}, { 3.4692213622883515`*^9, 3.46922137199129*^9}, {3.4692214213965917`*^9, 3.469221441739951*^9}, {3.4693005811036344`*^9, 3.469300581384883*^9}, { 3.46931321521875*^9, 3.469313219296875*^9}, {3.4693948930951457`*^9, 3.4693949843590183`*^9}, {3.4693961424875402`*^9, 3.469396172444399*^9}, { 3.469396659576829*^9, 3.4693966598580484`*^9}}], Cell["\<\ Money invested in the company - $500,000 , Taxes paid this year - $25,000 and \ Net Income - $130,000\ \>", "Item", CellChangeTimes->{{3.469396186032755*^9, 3.469396193732823*^9}, { 3.4693963104364967`*^9, 3.46939635472386*^9}}], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ RowBox[{"netincome", "=", "130000"}], ";", RowBox[{"taxes", "=", "25000"}], ";", RowBox[{"equity", "=", "500000"}], ";", RowBox[{"returnonequity", "=", RowBox[{"N", "[", RowBox[{ RowBox[{ RowBox[{"(", RowBox[{"netincome", "-", "taxes"}], ")"}], "/", "equity"}], ",", "3"}], "]"}]}]}]], "Input", CellChangeTimes->{{3.469475010484375*^9, 3.469475063359375*^9}}], Cell[BoxData["0.21`3."], "Output", CellChangeTimes->{3.46947506484375*^9}] }, Open ]], Cell["There is a 21% return on equity for this company.", "Answer", CellGroupingRules->{GroupTogetherGrouping, 10000.}, CellChangeTimes->{ 3.4692135974301596`*^9, {3.4694750695625*^9, 3.469475084859375*^9}}], Cell["\<\ 4.3 Profit margin looks at Net Income before taxes and Return on Equity \ involves Net Income after taxes are paid. Why would owners be more \ interested in the Return on Equity Ratio?: \ \>", "MathCaption", CellChangeTimes->{{3.457268957288084*^9, 3.457268962301944*^9}, { 3.46913937746875*^9, 3.469139401671875*^9}, {3.469139452921875*^9, 3.469139501671875*^9}, {3.4691398535625*^9, 3.4691398776875*^9}, { 3.469213694217256*^9, 3.4692137844904375`*^9}, {3.469213877685727*^9, 3.4692139166656113`*^9}, {3.4692166831185555`*^9, 3.4692166832591763`*^9}, { 3.4692213622883515`*^9, 3.46922137199129*^9}, {3.4692214213965917`*^9, 3.469221441739951*^9}, {3.4693005811036344`*^9, 3.469300581384883*^9}, { 3.46931321521875*^9, 3.469313219296875*^9}, {3.4693946685994563`*^9, 3.469394674849336*^9}, {3.4693948527365456`*^9, 3.469394856564597*^9}, { 3.4693949961244173`*^9, 3.469395082341512*^9}, {3.469396371501995*^9, 3.4693964657188807`*^9}, {3.469396662779605*^9, 3.469396663029578*^9}, { 3.46947176403125*^9, 3.46947178509375*^9}}], Cell["\<\ Since owners are principally interested in getting a return on their money \ the most direct measure for money they will receive will be the most \ important. Information given as Profit Margin is nice to know, but the \ relationship between the investors money invested and the revenue is a bit \ foggy. If you tell an investor that they will get a 21% return on their \ equity, they know exactly what to expect. \ \>", "Answer", CellGroupingRules->{GroupTogetherGrouping, 10000.}, CellChangeTimes->{ 3.4692135974301596`*^9, {3.4694751269375*^9, 3.469475295953125*^9}, 3.46947628925*^9}] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell["", "SlideShowNavigationBar", CellTags->"SlideShowHeader"], Cell[CellGroupData[{ Cell["Initializations", "Section", InitializationGroup->True], Cell["\<\ Data found below are copyrighted by Risk Management Associates, Financial \ Statement Studies: Financial Ratio Benchmarks, 2008-2009. 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