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For example, let's say you have to buy an Asian put option.
The current price of the underlying is 98.
The strike is 102.
The period of valuation is from now till one year later.
Let's assume the option premium is zero.After one year, let's say the underlying is worth 100. If this is a vanilla European put, your payoff is 102-100.
However, the average price of the underlying during the year was, e.g., 95. In other words, the price was mostly very low before rising to 100. Your payoff in this case for the Asian put is 102-95.Conversely, if the underlying price stays very high before dropping to 100, such that the average price is 102 or more, then your payoff is zero.
As you can see, the path that the underlying takes is important, not just the final price during expiration.
- 已编辑 augustinelModerator 2011年10月21日 14:54
- 已建议为答案 msisgt 2011年10月22日 1:36
- 已标记为答案 Zhen WEI MSFTModerator 2011年10月22日 14:13
2011年10月21日 14:27版主
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Bingo! 满分!
Actually, 99分啦。因为买的是路径相关期权,一年之内基础资产的价格变动途径也需要预测考虑的。
- 已编辑 augustinelModerator 2011年10月21日 14:55
2011年10月21日 10:44版主 -
For example, let's say you have to buy an Asian put option.
The current price of the underlying is 98.
The strike is 102.
The period of valuation is from now till one year later.
Let's assume the option premium is zero.After one year, let's say the underlying is worth 100. If this is a vanilla European put, your payoff is 102-100.
However, the average price of the underlying during the year was, e.g., 95. In other words, the price was mostly very low before rising to 100. Your payoff in this case for the Asian put is 102-95.Conversely, if the underlying price stays very high before dropping to 100, such that the average price is 102 or more, then your payoff is zero.
As you can see, the path that the underlying takes is important, not just the final price during expiration.
- 已编辑 augustinelModerator 2011年10月21日 14:54
- 已建议为答案 msisgt 2011年10月22日 1:36
- 已标记为答案 Zhen WEI MSFTModerator 2011年10月22日 14:13
2011年10月21日 14:27版主 -
For example, let's say you have to buy an Asian put option.
The current price of the underlying is 98.
The strike is 102.
The period of valuation is from now till one year later.
Let's assume the option premium is zero.After one year, let's say the underlying is worth 100. If this is a vanilla European put, your payoff is 102-100.
However, the average price of the underlying during the year was, e.g., 95. In other words, the price was mostly very low before rising to 100. Your payoff in this case for the Asian put is 102-95.Conversely, if the underlying price stays very high before dropping to 100, such that the average price is 102 or more, then your payoff is zero.
As you can see, the path that the underlying takes is important, not just the final price during expiration.
请教一下 以你的例子为例,推算得到一年后underlying的价值后就可以计算出payoff了,那fair value的作用是啥
2011年10月21日 15:05 -
In the example, 100 and 95 are not predicted values but actual price and average after one year.
At T=0, you would need to consider possible price paths the underlying may take and the associated payoff from each path. The fair value is typically the expected value (期望值) from these payoffs.
2011年10月21日 15:35版主 -
In the example, 100 and 95 are not predicted values but actual price and average after one year.
At T=0, you would need to consider possible price paths the underlying may take and the associated payoff from each path. The fair value is typically the expected value (期望值) from these payoffs.
- 已编辑 Felix.Xu 2011年10月21日 15:42
2011年10月21日 15:39