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双 · 2023年03月28日

dividend

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NO.PZ202108100100000105

问题如下:

Based on Exhibits 2 and 3, and assuming annual compounding, the per share value of Troubadour’s short position in the TSI forward contract three months after contract initiation is closest to:

选项:

A.

$1.6549.

B.

$5.1561.

C.

$6.6549.

解释:

C is correct.

The no-arbitrage price of the forward contract, three months after contract initiation, is

F0.25 = FV0.25(S0.25 + CC0.25 – CB0.25)

F0.25 = [$245 + 0 – $1.50 / (1 + 0.00325)(0.5-0,25) ] (1 + 0.00325)(0.75-0.25) = $243.8966.

herefore, from the perspective of the long, the value of the TSI forward contract is

V0.25= PV0.25 [F0.25 – F0]

V0.25= ($243.8966 – $250.562289)/(1 + 0.00325)(0.75-0.25) = –$6.6549.

Because Troubadour is short the TSI forward contract, the value of his position is a gain of $6.6549.

中文解析:

本题考察的是t时刻求value,有重新定价法和画图法两种方法。

上述求解过程为重新定价法,即先求t=3时刻的远期合约价格F,然后和F作差后折现至t时刻即可。

如果使用画图法,与课程讲法一致:假设是long position,向上箭头表收到,向下的箭头表支出,二者相减即为所求的value。对应本题需要注意的是short头寸,因此最后求得结果需要取负号即可。

具体计算过程如下图:

题目中说semiannual dividend 1.5%,为什么6时刻收到的dividend不是0.75

2 个答案

Lucky_品职助教 · 2023年03月31日

嗨,从没放弃的小努力你好:


一般表述为semi annual compound coupon rate 1.5%

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Lucky_品职助教 · 2023年03月29日

嗨,爱思考的PZer你好:


题干说的是半年付一次价值1.5的分红。不是每年分红1.5半年付一次哦。

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努力的时光都是限量版,加油!

双 · 2023年03月31日

那怎样表述就说明是一年总共付息多少,但是一年付两次,每次一半?

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