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Sukiceblue · 2021年04月26日

Variance swap payoff问题

NO.PZ2018113001000053

问题如下:

Olivia, a fund manager, sells $50,000 vega notional of a one-year variance swap on the S&P 500 at a strike of 20% (quoted as annual volatility).

If the one-year realized volatility is 18%, the settlement amount at expiration of the swap for Olivia is:

选项:

A.

pay $95,000 to the swap buyer.

B.

receive $95,000 from the swap buyer.

C.

receive $125,000 from the swap buyer.

解释:

B is correct.

Variance notional = Vega notional/(2*Strike)=50000/(2*20)=1250.

SettlementT = Variance notional × (Realized variance – Variance strike) = 1,250 × (18^2 – 20^2)

= –$95,000

If the payment amount is positive (negative), the swap seller (buyer) pays the swap buyer (seller). So, in this case, Olivia would receive $95,000 from the swap buyer.

Payoff公式中x的平方是不是等于strike variance?与下面分母strike price一样啊?
1 个答案

Hertz_品职助教 · 2021年04月26日

嗨,从没放弃的小努力你好:


同学你好~


你说的是公式中这两处(红线框出来的两处)是吗?是的哈,后者只是strike price取了平方。这里一定要注意,带数字计算的时候要去掉百分号,比方说本题中的strike price 是20%,分母处带入“20”,后面则是20的平方即400,同样的分子上的X的平方也是带入20的平方.


(如有疑问 欢迎追问)


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努力的时光都是限量版,加油!

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