
Answer-first summary for fast verification
Answer: Long asset-or-nothing call
**Correct answer: A. Long asset-or-nothing call** A cash-or-nothing call with strike $30 and payout $30 can be replicated by: - **Short European call** with the same strike, plus - **Long asset-or-nothing call** ### Why this works - If the stock ends at **$40**: - Cash-or-nothing call pays **$30** - Short European call pays **-($40 - $30) = -$10** - Long asset-or-nothing call pays **$40** - Net: **-$10 + $40 = $30** - If the stock ends at **$20**: - Cash-or-nothing call pays **$0** - Short European call pays **$0** - Long asset-or-nothing call pays **$0** - Net: **$0** So the replication is exact.
Author: Manit Arora
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16.02 A cash-or-nothing call with strike = $30 and payoff (Q) = $30 is equivalent to a short European call option (same strike) PLUS:
A
Long asset-or-nothing call
B
Short asset-or-nothing call
C
Long cash-or-nothing call
D
Short cash-or-nothing call
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