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.
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