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1、Problems&SolutionsofInvestmentsJohnLiu©SouthwesternUniversityofFinanceandEconomicslqcareer@sina.com[1]BuyingonMargin&ShortSales[1]You’veborrowed$20,000onmargintobuysharesinDisney,whichisnowsellingat$40pershare.Youraccountstartsattheinitialmarginrequirementof50%.Themaintenancemargi
2、nis35%.Twodayslater,thestockpricefallsto$35pershare.a.Willyoureceiveamargincall?b.HowlowcanthepriceofDisneysharesfallbeforeyoureceiveamargincall?Solutiona.Youwillnotreceiveamargincall.Youborrowed$20,000andwithanother$20,000ofyourownequityyoubought1,000sharesofDisneyat$40pershare.A
3、t$35pershare,themarketvalueofthestockis$35,000,yourequityis$15,000,andthepercentagemarginis:$15,000/$35,000=42.9%Yourpercentagemarginexceedstherequiredmaintenancemargin.b.Youwillreceiveamargincallwhen:(1,000P−$20,000)/1,000P=0.35⇒whenP=$30.77orlower[2]OnJanuary1,yousoldshortonerou
4、ndlot(thatis,100shares)ofFourSistersstockat$21pershare.OnMarch1,adividendof$2persharewaspaid.OnApril1,youcoveredtheshortsalebybuyingthestockatapriceof$15pershare.Youpaid50centspershareincommissionsforeachtransaction.WhatisthevalueofyouraccountonApril1?Solution:Theproceedsfromthesh
5、ortsale(netofcommission)were($21100)-($0.5100)=$2,050Adividendpaymentof$200waswithdrawnfromtheaccount.Coveringtheshortsaleat$15persharecosts(withcommission):$1,500501550-$=$,Therefore,thevalueofyouraccountisequaltothenetprofitonthetransaction:$2,050-$200$1550$300-,=May30,201719:
6、51Problems&SolutionsofInvestmentsJohnLiu©SouthwesternUniversityofFinanceandEconomicslqcareer@sina.com[3]SupposethatIntelcurrentlyissellingat$40pershare.Youbuy500sharesusing$15,000ofyourownmoney,borrowingtheremainderofthepurchasepricefromyourbroker.Therateonthemarginloanis8%.a.What
7、isthepercentageincreaseinthenetworthofyourbrokerageaccountifthepriceofIntelimmediatelychangesto:(i)$44;(ii)$40;(iii)$36?b.Ifthemaintenancemarginis25%,howlowcanIntel’spricefallbeforeyougetamargincall?c.Howwouldyouranswerto(b)changeifyouhadfinancedtheinitialpurchasewithonly$10,000of
8、yourownmoney?d.Whatistherateofret