
Explanation:
Leslie Hower's decision to purchase call options is accurate when attempting to synthetically sell a risk-free bond. This is based on the rearranged put-call parity formula, which is a fundamental principle in options pricing. The formula is expressed as:
where is the strike price, is the risk-free rate, is the time to maturity, is the price of the call option, is the price of the put option, and is the price of the underlying asset. To synthetically short sell a risk-free bond, one should purchase call options (), sell put options (), and sell the underlying asset (). Therefore, Hower's decision to purchase call options aligns with the requirements of the put-call parity formula for creating a synthetic short position in a risk-free bond.
Choice B is incorrect. Purchasing put options would not help Leslie in creating a synthetic short position in a risk-free bond. Put options give the holder the right to sell an asset at a specified price within a specific time period. In this case, buying put options would mean that Leslie expects the price of the bond to decrease, which contradicts her intention of creating a synthetic short position.
Choice C is incorrect. Buying the underlying asset does not contribute towards creating a synthetic short position either. A synthetic short position involves mimicking the potential profit and loss outcomes of selling an asset without actually selling it. Therefore, buying more of this asset would contradict the goal of a synthetic short position and would not aid in achieving this goal.
Choice D is incorrect. As explained above, both purchasing put options and buying more of the underlying asset do not assist in creating a synthetic short position in a risk-free bond; therefore, all decisions made by Leslie are not accurate for her intended purpose.
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Hower attempts to synthetically sell a risk-free bond using call and put options. She purchases call and put options with the same exercise price and time to maturity. She simultaneously buys the underlying.
With respect to her attempts in creating a synthetic short position in a risk-free bond, Hower is accurate regarding her decision to:
A
Purchase call options
B
Purchase put options
C
Buy the underlying short
D
All of the above