EA-1 Segment A, Joint Board for Enro … - 金融分析師

我的答案是$75.87311

@ 2000 1/1 cost of perp. =1100 = 100/i*(1+i) i=10%
@ 2014 1/1 after 1st pmt so the remaining value = 1100-100=1000
accumulate to 2018 1/1 1000*(1+0.5i)^4 = 1215.506
@ 2018 1/1 the value of ann. due = pmt * [1-(1+j)^(-20)]/j * (1+j)
where 1+j= (1+0.5i)^0.5 j=2.46951%

set 1215.506 = pmt * [(1+j)^(-20)]/j * (1+j)

so I get pmt = $75.87311

cheers ^_^



※ 引述《SourLime ()》之銘言：
: 這題我一直算答案都不對耶~
: Purchase date of a perpetuity-due: 1/1/2000
: Level payment amount: $100
: Frequency of payments: Annual.
: Cost of perpetuity: $1,100.
: Interest rate for perpetuity: i%, compounded annually.
: Immediately following the payment on 1/1/2014, the remaining future payments
: are sold at a yield rate of i%. The proceeds are used to purchase an annuity
: certain as follows:
: Term of annuity: 10 years
: First payment of annuity: 1/1/2018.
: Frequency of annuity payments: Semi-annual on January 1 and July 1.
: Interest rate for annuity: 1/2 i% compounded annually.
: In What range is the semi-annual annuity payment?
: Ans: $75but less than $77.
: 請大家教一下吧?!

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