Markets: A Rigorous Course

M08 · Problem 15 ★★ Check

Black-76 on MCX crude oil

Take an MCX crude oil option on futures with F=₹8,300F=\text{₹}8{,}300 per barrel (roughly WTI at $88 converted at ₹94.5; illustrative), strike ₹8,500, 12 days to option expiry, r=5.5%r=5.5\%, assumed volatility 45%, lot 100 barrels. (a) Price the call and the put per barrel and per lot. Verify parity. (b) Compute the futures delta of the call and the risk-neutral probability of finishing in the money. (c) Explain why devolvement into a futures position at expiry does not change the valuation, and what risk it does add for a retail holder.

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Commas, ₹, % and 1e-3 notation are accepted.

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