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ʜ ᴀ ᴢ ᴇ ʟ · 2020年03月03日

问一道题:NO.PZ2017092702000012 [ CFA I ]

问题如下:

A sweepstakes winner may select either a perpetuity of £2,000 a month beginning with the first payment in one month or an immediate lump sum payment of £350,000. If the annual discount rate is 6% compounded monthly, the present value of the perpetuity is:

选项:

A.

less than the lump sum.

B.

equal to the lump sum.

C.

greater than the lump sum.

解释:

C is correct.

As shown below, the present value (PV) of a £2,000 per month perpetuity is worth approximately £400,000 at a 6% annual rate compounded monthly. Thus, the present value of the annuity (A) is worth more than the lump sum offer. A = £2,000 r = (6%/12) = 0.005 PV = (A/r) PV = (£2,000/0.005) PV = £400,000

请问lump sum payments是FV吗还是PV
1 个答案

星星_品职助教 · 2020年03月03日

同学你好,

这里的lump sum payments既不是PV也不是FV,而是用来和按计算器算出来的PV作比较用的。如果算出来的PV比lump sum payment大,投资者就应该选择永续年金而不是lump sum payment

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