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Microsoft Word - FNCE3000_HW FNCE3000—GroupProject1(hardcopydueinclass,Thurs.10/19) ‐‐1of4‐‐ Ifyouhavetomakeanyadditionalassumptions,besuretostatethemupfront.Handinall relevantinformation/charts/calculationsusedtoderiveyouranswerssothatIcanquickly followyourthoughtprocessandwhereyournumbersarecomingfrom. Besuretoincludeallofyournamesonthefirstpageofyourhomeworksubmission. Source:http://www.wellsfargo.com/mortgage/rates/[ratesasof:September14,2017] ^^Usetheinformationprovidedtoanswerthequestionsonthefollowingpage. NOTE:theabovequotesdenoteannualpercentagerates(APR),compoundedmonthly. FNCE3000—GroupProject1(hardcopydueinclass,Thurs.10/19) ‐‐2of4‐‐ Youwanttobuya$1,000,000house.Supposeyoumakea20%downpaymenttoday,and youfinancetherestofyourpurchasewitha30‐yearfixedratejumbomortgage. 1) Whatwillbeyourmonthlymortgagepayments? 2) Howmuchofyourfirstmonth’spaymentgoestowardpayingoffinterest?Howmuch goestowardpayingofftheloanbalance? 3) Howmuchdoyoustilloweafter5years(i.e.,justafteryour60thmonthlypayment)? 4) Howlongwillittakeyoutoreduceyourloanbalancebyhalf(i.e.,≤$400,000)? 5) Supposein20years(justafteryour240thmonthlypayment),youdecidetorefinance at a 10‐year fixed rate of 3.200%. What will be your new monthly mortgage payments? FNCE3000—GroupProject1(hardcopydueinclass,Thurs.10/19) ‐‐3of4‐‐ Source:finance.yahoo.com[snapshotstakenon:September14,2017] Providethefollowinganalysespertainingtoaportfoliocomprisedofcommonstockissued byMicrosoft Corporation and common stock issuedbyTheCoca‐ColaCompany (youwill need additional data provided on finance.yahoo.com—in the “Get Quotes” box, type in “MSFT” and “KO”).Be sure to stateanyadditional assumptionsupfront, and toprintout, highlight,andhandinallrelevantinformationthatyouusetocalculateyouranswerssothat Icanquicklyfollowwhereyournumbersarecomingfrom. FNCE3000—GroupProject1(hardcopydueinclass,Thurs.10/19) ‐‐4of4‐‐ Inyourcalculationsbelow,assumethattheannualrisk‐freerateisrf=2%. Part1:EstimatetheMarketRiskPremium Estimate the (annual) market risk premium using the five‐year time series of monthly pricing data from October 2012 through October 2017 (inclusive). Use the S&P500 CompositeIndexasyourproxyforthe“market”(inthe“GetQuotes”boxtype“^GSPC”). Themonthlyclosingpricesareprovidedunder the “historicalprices” tab.Fromhere,you cancalculatemonthly stock returns.Theprices reportedhereareadjusted prices—which meansstocksplitsanddividendpaymentshavealreadybeenfactoredinsuchthatyouneed onlytocalculatethepercentagechangeinthese‘adjusted’pricestoderivethestockreturns. Idon’tneedtoseethe*full*historyofreturnscalculations,butI’dlikeaprintoutofthefirst fewcalculationssothatIcanfollowyourwork. Part2:CalculatePortfolioExpectedReturnandHistoricalVolatility SupposeyouinvesthalfofyourwealthinMSFTandtheotherhalfinKO. 1. AssumingthatCAPMholds,whatistheannualexpectedreturnonyourportfolio? Basedonthefive‐yearperiodspanningOctober2012throughOctober2017… 2. Whatistheannualizedhistoricalvolatilityofyourportfolioreturns? 3. Whatistheannualizedaveragereturn? 4. Whatistherealizedreturnonyourinvestmentifyoupurchasedthisportfolioonthe firsttradingdayofOctober2012andsolditonthelasttradingdayofOctober2017? Part3:CalculateBetas Try estimating beta yourself (for bothMSFT andKO) using the five‐year time series of monthlystockreturnsfromOctober2012throughOctober2017(inclusive). Recall that a stock’s beta is calculated as: the covariance between its excess returns and excessmarketreturns(forsimplicity,youcanjustuseS&P500indexreturns),dividedby thevarianceofexcessmarketreturns—i.e.,Cov(rM,ri)/var(rM).(‘excessreturn’referstothe returninexcessoftherisklessrate).