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Answer: An up-and-in put with barrier at $110 and strike at $100
## Explanation Let's analyze each option: **A. Down-and-out call with barrier at $90 and strike at $110** - This is a call option that becomes worthless if the stock price falls to $90 - Current price: $100, Barrier: $90 (not crossed yet) - Strike: $110 (out-of-the-money) - If stock price increases above $110, the call becomes valuable - **BENEFITS** from stock price increase **B. Down-and-in call with barrier at $90 and strike at $110** - This is a call option that only becomes active if the stock price falls to $90 - Current price: $100, Barrier: $90 (not crossed yet) - Strike: $110 (out-of-the-money) - If stock price increases, the barrier is less likely to be crossed, but the option still has value if it eventually becomes active - **BENEFITS** from stock price increase (though indirectly) **C. Up-and-in put with barrier at $110 and strike at $100** - This is a put option that only becomes active if the stock price rises to $110 - Current price: $100, Barrier: $110 (not crossed yet) - Strike: $100 (at-the-money) - A put option benefits from stock price DECREASE, not increase - If stock price increases, the put loses value - **DOES NOT BENEFIT** from stock price increase **D. Up-and-in call with barrier at $110 and strike at $100** - This is a call option that only becomes active if the stock price rises to $110 - Current price: $100, Barrier: $110 (not crossed yet) - Strike: $100 (at-the-money) - If stock price increases above $110, the call becomes active and valuable - **BENEFITS** from stock price increase Therefore, option C is the only one that does NOT benefit from an increase in stock price because it's a put option, which gains value when stock prices fall.
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Of the following options, which one does not benefit from an increase in the stock price when the current stock price is $100 and the barrier has not yet been crossed:
A
A down-and-out call with barrier at $90 and strike at $110
B
A down-and-in call with barrier at $90 and strike at $110
C
An up-and-in put with barrier at $110 and strike at $100
D
An up-and-in call with barrier at $110 and strike at $100
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