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中二 · 2020年02月11日

问一道题:NO.PZ2016070201000031 [ FRM II ]

问题如下:

Suppose an individual buys a correlation swap with a fixed correlation of 0.2 and a notional value of $1 million for one year. The realized pairwise correlations of the daily log returns at maturity for three assets are ρ2,1=0.7,ρ3,1=0.2\rho_{2,1}=0.7,\rho_{3,1}=0.2 and ρ3,2=0.3\rho_{3,2}=0.3. what is the correlation swap buyer’s payoff at maturity?

选项:

A.

$100,000.

B.

$200,000.

C.

$300,000.

D.

$400,000.

解释:

Calculate the realized correlation as follows:

ρrealized=2323×(0.7+0.2+0.3)=0.4\rho_{realized}=\frac2{3^2-3}\times{(0.7+0.2+0.3)}=0.4

The payoff for the correlation buyer is then calculated as:

$1,000,000*(0.4-0.2)=$200,000

老师,这道题我比照书上例题可以做对,但是想问一下,因为realized的相关系数是0.4大于0.2,那么就是fixed payer赚钱,但是原有头寸的方向是怎么看出他是fixed payer的呢?我担心如果出现符号为负的头寸方向,自己不会判断…

1 个答案

orange品职答疑助手 · 2020年02月11日

同学你好,可以这样记,因为它是correlation swap的多头,跟利率互换一样,是付固定收浮动,所以他是fixed payer