跪求哪位金融大神能帮我解答这个问题~ 5
题的内容是这样的：Yourfriendmakesyouthefollowingoffer:Hewouldliketoborrow$10,000todayandhewill...
题的内容是这样的：
Your friend makes you the following offer: He would like to borrow $10,000 today and he will repay the $10,000 by making 10 yearly payments with the first payment processed at the end of this year. Ifthe payments will grow by 10% each year and the appropriate discount rate is12%, how much money will your friend have to pay at the end of the first year?
跪求这道计算题的解题方法和步骤！ 展开
Your friend makes you the following offer: He would like to borrow $10,000 today and he will repay the $10,000 by making 10 yearly payments with the first payment processed at the end of this year. Ifthe payments will grow by 10% each year and the appropriate discount rate is12%, how much money will your friend have to pay at the end of the first year?
跪求这道计算题的解题方法和步骤！ 展开
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设the end of the first year pay X
10000=x/1.12+1.1x/1.12^2++++x*1.1^9/1.12^10
10000*1.1/1.12=1.1x/1.12^2++++x*1.1^10/1.12^11
两式一减
10000*0.02/1.12=x/1.12-x*1.1^10/1.12^11
x=10000*0.02/1.12*1/(1/1.12-1.1^10/1.12^11)
=10000*0.02/(1-1.1^10/1.12^10)=1212.97
10000=x/1.12+1.1x/1.12^2++++x*1.1^9/1.12^10
10000*1.1/1.12=1.1x/1.12^2++++x*1.1^10/1.12^11
两式一减
10000*0.02/1.12=x/1.12-x*1.1^10/1.12^11
x=10000*0.02/1.12*1/(1/1.12-1.1^10/1.12^11)
=10000*0.02/(1-1.1^10/1.12^10)=1212.97
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