NO.PZ201702190300000309
问题如下:
Which of Sousa’s reasons for the decrease in the value of the interest rate option is correct?
选项:
A.Reason 1 only
B.Reason 2 only
C.Both Reason 1 and Reason 2
解释:
A is correct.
Reason 1 is correct: A higher exercise price does lower the exercise value (payoff) at Time 2. Reason 2 is not correct because the risk-neutral probabilities are based on the paths that interest rates take, which are determined by the market and not the details of a particular option contract.
中文解析:
根据c=max{0,ST -X}可知,当行权价越高,看涨期权的行权价值越低;且期权的行权价值与风险中性概率无关。因此只有表述1正确,选A。
Rocha asks Sousa why the value of a similar in-the-money interest rate call option decreases if the exercise price is higher. Sousa provides two reasons.
Reason 1 The exercise value of the call option is lower.
Reason 2 The risk-neutral probabilities are changed.
我的翻译:
R询问了S为什么,如果执行价格变高的话,一个相似的in-the-money的利率call option会下降的原因。
第一个理由:执行价格变低了。
Which of Sousa’s reasons for the decrease in the value of the interest rate option is correct?
A Reason 1 only
B Reason 2 only
C Both Reason 1 and Reason 2
哪一个关于call option价格下降的原因是正确的。
解答:
根据c=max{0,ST -X}可知,当行权价越高,看涨期权的行权价值越低。 →这句话我没有异议。
我疯了……黄色部分的解答这句话我没有异议。
但是给出的第一个理由,也就是紫色highlight的两句话,执行价格是变低啊,变低的话,call option的价格是上涨啊……那怎么会是call option下降的原因呢???然后这不明显和题目里这剧执行价格变高相违背吗?我凌乱了……