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BETAA Measure Of Market Risk 
ATIF GHAYAS 
FACULTY OF MANAGEMENT STUDIES AND RESEARCH, 
ALIGARH MUSLIM UNIVERSITY, ALIGARH
Contents 
•Introduction 
•Types of risk 
•Beta: Meaning 
•Beta: Definition 
•Calculation 
•Interpretation 
•Uses and facts 
•Criticism 
•Conclusion 
2 
BETA: A MEASURE OF MARKET RISKATIF GHAYAS
Introduction 
Asthedeterminationofthecorrectmeasureoftheriskhasimplicationsonvaluation,portfolioselectionandcapitalbudgeting,thisissuehasreceivedampleattentioninthefinancialliterature.CapitalAssetPricingModelofSharpe,LintnerandMossinisundoubtedlythemostpopularapproachtomodelrisk-returnrelationship. 
BETA: A MEASURE OF MARKET RISKATIF GHAYAS 
3
Types of Risks 
InthecontextofCAPM,theriskofanassetcanbedecomposedintotwocomponents. 
BETA: A MEASURE OF MARKET RISKATIF GHAYAS 
4 
UNSYSTEMATIC RISKS 
SYSTEMATIC RISKS 
Specific to individual asset and can be eliminated by means of diversification. 
Related to overall market and diversification cannot eliminate it.
Beta: Meaning 
•Wecannotreducemarketrisksorsystematicrisksbutwecanhaveameasureoftheseriskswiththehelpofbeta. 
•Withthehelpofbetawecanapproximatelytellhowmuchaparticularstockwillmoveifweknowhowmuchthewholestockmarketisgoingtomove. 
•Thus,betatellsuswhatthevolatilityisinaparticularstockwithrespecttomovementsinthestockmarket. 
BETA: A MEASURE OF MARKET RISKATIF GHAYAS 
5
Continued… 
•Betaisalsoreferredtoasfinancialelasticity,andcanbereferredtoasameasureofthesensitivityoftheasset'sreturnstomarketreturns. 
•Itdoesnotmeasuretheriskofaninvestmentheldonastand-alonebasis,buttheamountofrisktheinvestmentaddstoanalready-diversifiedportfolio. 
•IntheCAPM,betariskistheonlykindofriskforwhichinvestorsshouldreceiveanexpectedreturnhigherthantherisk-freerateofinterest. 
BETA: A MEASURE OF MARKET RISKATIF GHAYAS 
6
Beta: Definition 
“The Beta Coefficient in terms of finance and investing is a measure of the systematic risk of a stock or portfolio. It quantifies relative volatility in relation to the overall market, which is defined as having a beta of 1.” 
7 
BETA: A MEASURE OF MARKET RISKATIF GHAYAS
Calculation 
•Betaiscalculatedonhistoricalbasiswiththehelpofhistoricalreturnsonaparticularstockandhistoricalreturnsonthestockmarket. 
•Thewholemethodconsistsoffindingcovariancebetweenthemarketreturnsandstockreturnsanddividingitbythevarianceofmarketreturns. 
BETA: A MEASURE OF MARKET RISKATIF GHAYAS 
8
Steps in Calculation 
BETA: A MEASURE OF MARKET RISKATIF GHAYAS 
9 
Step 1 
Step 2 
Step 3 
Download the historical prices for the stock and the benchmark index 
Calculate the percentage returns for both the stock and the index. 
Calculate Stock’s Beta using the following formula
•It is calculated with the help of the following formula: 
•Where : Rimeasures the rate of return of the stockRmmeasures the rate of return of the portfolio 퐶표푣(Ri, Rm) is the covariance between the rates of return 
BETA: A MEASURE OF MARKET RISKATIF GHAYAS 
10 
Continued…
How to Interpret Beta 
•Themarketitselfhasanunderlyingbetaof1.0,andindividualstocksarerankedaccordingtohowmuchtheydeviatefromthemarket. 
•Astockthatswingsmorethanthemarket(i.e.morevolatile)overtimehasabetawhoseabsolutevalueisabove1.0. 
•Ifastockmoveslessthanthemarket,theabsolutevalueofthestock'sbetaislessthan1.0. 
•Fore.g.whenthemarkethasanoveralldeclineof3%astockwithabetaof2willfall6%,andviceversa. 
BETA: A MEASURE OF MARKET RISKATIF GHAYAS 
11
BETA: A MEASURE OF MARKET RISKATIF GHAYAS 
Value of Beta 
Interpretation 
Example 
β < 0 
Asset moves in the opposite direction as compared to the index 
Aninverse exchange-traded fund 
β = 0 
Movement of the asset is uncorrelated with the movement of the benchmark 
Fixed-yield assets 
0<β<1 
Movement of the asset is in the same direction , but less than the movement of the benchmark 
Stable, "staple" stock such as a company that makes soap. 
β = 1 
Movement of the asset is in the same direction as, and about the same amount 
A representative stock 
β > 1 
Movement of the asset in the same direction, but more than the movement of the benchmark 
Stocks strongly influenced by day-to-day market news 
12
Beta –Uses and Facts 
•Betaiscalculatedonhistoricalpricesthusitdoesnotprovidetheexactpictureforfutureandarebackwardlooking 
•Betahasnoupperorlowerbound,andbetasaslargeas3or4willoccurwithhighlyvolatilestocks. 
•Betacanbezero.Somezero-betaassetsarerisk-free,suchastreasurybonds. 
•Anegativebetasimplymeansthatthestockisinverselycorrelatedwiththemarket. 
BETA: A MEASURE OF MARKET RISKATIF GHAYAS 
13
Beta -Criticisms 
•Pastpricefluctuationscannotcompletelydescribetheriskinasecurityaspastfluctuationcannotgiveexactpictureoffuture. 
•Doesn’ttellsusaboutthereturnintervaltobeusedforthepurposeofestimatingbeta. 
•Doesn’ttellusaboutthetimeperiodtobemeasuredforcalculation. 
•Betaviewsrisksolelyfromtheperspectiveofmarketprices,failingtotakeintoconsiderationspecificbusinessfundamentalsoreconomicdevelopments. 
BETA: A MEASURE OF MARKET RISKATIF GHAYAS 
14
Conclusion 
•Betaisquantifiable,whichmakesiteasytousetoworkwithandtocommunicate. 
•Ithelpsustoanalyzeinabroadrangehowmuchyourstockreturnscandeviate. 
•Thepastsecuritypricevolatilitydoesnotreliablypredictfutureinvestmentperformanceandthereforebetaisnottheperfectmeasureofrisks. 
•Itisanintegralpartofcapitalassetpricingtheorywhichisusedtocalculaterequiredreturnsonastock. 
BETA: A MEASURE OF MARKET RISKATIF GHAYAS 
15
16 
BETA: A MEASURE OF MARKET RISKATIF GHAYAS 
Thank you!

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Beta-A measure of market risk