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骑车打伞不太稳 · 2023年08月19日

long或者short的profit理解不是很清楚

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NO.PZ202108100100000104

问题如下:

The most appropriate response to Troubadour’s supervisor’s question regarding the TSI forward contract is:

选项:

A.

a decrease in TSI’s share price, all else equal.

B.

an increase in the risk-free rate, all else equal

C.

a decrease in the market price of the forward contract, all else equal.

解释:

B is correct.

From the perspective of the long position, the forward value is equal to the present value of the difference in forward prices:

Vt = PV[Ft – F0]

where

Ft = FV(St +CCt –CBt )

All else equal, an increase in the risk-free rate before contract expiration would cause the forward price, Ft , to increase. This increase in the forward price would cause the value of the TSI forward contract, from the perspective of the short, to decrease. Therefore, an increase in the risk-free rate would lead to a loss on the short position in the TSI forward contract

中文解析:

首先需要明确现在是远期合约的short头寸,问的是下列那种情况会产生损失。

A选项:short 远期合约,希望将来标的资产下跌。因此当标的价格下降,其他条件不变的情况下,short头寸会有gain,而不是loss;

B选项:根据公式F= S0(1 + Rf) T可知,当Rf增加,forward合约价格上升,对于short forward一方来说会产生损失;选B

C选项:作为short forward的一方,当forward价格下跌时,会有gain,而不是loss,C不能选。

根据课后题老师的说法,对于空头short来说,FP下降才能获利得到profit,FP上升会产生loss。


但是从整个pofit的角度, 麻烦老师看看理解对不对?


long 头寸profit = St - FP St上涨或者FP下跌产生利润?

short 头寸profit = FP- St FP上涨或者St下跌产生利润?



3 个答案
已采纳答案

Lucky_品职助教 · 2023年08月20日

嗨,从没放弃的小努力你好:


以C为例,C选项说forward contract的market price降低,首先你要知道这个forward contract的market price指的是当前时刻在市场上签订一份远期合约约定卖TSI的价格,我们称为FPt,不是上个公式里的FP(指的是0时刻我们已经签订的那份远期合约里面约定的卖TSI的价格,我们称为FP0),FPt减少,说明当前市场上签订一份t时刻卖TSI股票,约定的卖价减少了。这就说明我们0时刻签的合约对我们来说是有利的,所以就有一个gain。

----------------------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!

骑车打伞不太稳 · 2023年08月20日

这道题本质上考的是这个公式:profit = FPt(St) - S0*(1+rf)

Lucky_品职助教 · 2023年08月20日

嗨,从没放弃的小努力你好:


嗯嗯

----------------------------------------------
努力的时光都是限量版,加油!

Lucky_品职助教 · 2023年08月20日

嗨,努力学习的PZer你好:


有一点不对,FP在合约期初就定好了,所以后期不会变化,变的是St

----------------------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!

骑车打伞不太稳 · 2023年08月20日

但是这道题在讲解的时候,老师全部都是按照FP的变化来进行回答的,而且从结果来看,老师其实是基于long头寸假设的:profit = St - FP= St - S0*(1+rf) 这才有了三个选项: s0下跌,产生profit(不选) rf上涨,profit下降(亏损,正确) FP下跌,产生profit(不选) 更加晕了,那到底应该变化的是哪个?

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