开发者:上海品职教育科技有限公司 隐私政策详情

应用版本:4.2.11(IOS)|3.2.5(安卓)APP下载

世纪之龙5 · 2024年03月15日

这题想表达什么,四个选项都没看懂

NO.PZ2018122701000086

问题如下:

You are asked to mark to market a book of plain vanilla stock options. The trader is short deep out-of-money options and long at-the-money options. There is a pronounced smile for these options. The trader’s bonus increases as the value of his book increases. Which approach should you use to mark the book?

选项:

A.

Use the implied volatility of at-the-money options because the estimation of the volatility is more reliable.

B.

Use the average of the implied volatilities for the traded options for which you have data because all options should have the same implied volatility with Black-Scholes and you don’t know which one is the right one.

C.

For each option, use the implied volatility of the most similar option traded on the market.

D.

Use the historical volatility because doing so corrects for the pricing mistakes in the option market.

解释:

C is correct.

考点 Volatility Smile

解析 The prices obtained with C are the right ones because they correspond to prices at which you could sell or buy the options.

如题

2 个答案

品职答疑小助手雍 · 2024年03月16日

C就是波动率微笑的假设啊

品职答疑小助手雍 · 2024年03月16日

同学你好,本题考查结论 - 题干的意思是你现在需要对一个组合进行估值,这个组合是由两个期权组成,一个是short deep out-of-money option,另一个是long at-the-money option。这两个期权有波动率微笑,因此隐含波动率是变化的,所以不能两个期权合并定价,需要分别用对应的隐含波动率进行定价。

A不对,不能用ATM的隐含波动率来代替OTM和ATM这个组合的波动率。

B说的是应该用所有期权用BSM公式倒推出的隐含波动率的平均值,这显然是错误的,这章节的名字就要波动率微笑,讲的就是隐含波动率在某些情况下高某些情况下低的问题,题目说了一个OTM和一个ATM的期权,肯定是不能用平均值的。

D不对,因为历史不能代表未来,用历史的波动率不能代表对当前市场的定价是正确的。

世纪之龙5 · 2024年03月16日

c为什么是对的

  • 2

    回答
  • 0

    关注
  • 196

    浏览
相关问题

NO.PZ2018122701000086问题如下 You are asketo mark to market a book of plain vanilla stooptions. The trar is short ep out-of-money options anlong at-the-money options. There is a pronouncesmile for these options. The trar’s bonus increases the value of his book increases. Whiapproach shoulyou use to mark the book? Use the implievolatility of at-the-money options because the estimation of the volatility is more reliable. Use the average of the implievolatilities for the traoptions for whiyou have ta because all options shoulhave the same implievolatility with Black-Scholes anyou n’t know whione is the right one. For eaoption, use the implievolatility of the most similoption traon the market. Use the historicvolatility because ing so corrects for the pricing mistakes in the option market. C is correct. 考点 : Volatility Smile 解析 : The prices obtainewith C are the right ones because they corresponto prices whiyou coulsell or buy the options. 如果存在波动率微笑,BSM模型还能使用吗如果无法使用,还可以用什么对期权进行估值呢,二叉树和蒙特卡洛模拟吗可是,蒙特卡洛模拟是通过发射随机数的方式,这种方法估值会用到波动率嘛

2024-10-27 20:56 1 · 回答

NO.PZ2018122701000086问题如下 You are asketo mark to market a book of plain vanilla stooptions. The trar is short ep out-of-money options anlong at-the-money options. There is a pronouncesmile for these options. The trar’s bonus increases the value of his book increases. Whiapproach shoulyou use to mark the book? Use the implievolatility of at-the-money options because the estimation of the volatility is more reliable. Use the average of the implievolatilities for the traoptions for whiyou have ta because all options shoulhave the same implievolatility with Black-Scholes anyou n’t know whione is the right one. For eaoption, use the implievolatility of the most similoption traon the market. Use the historicvolatility because ing so corrects for the pricing mistakes in the option market. C is correct. 考点 : Volatility Smile 解析 : The prices obtainewith C are the right ones because they corresponto prices whiyou coulsell or buy the options. 请问四个为何第二个正确,其他都是什么意思呢?题目叙述的是什么?看不懂。谢谢

2023-08-08 18:21 1 · 回答

NO.PZ2018122701000086 问题如下 You are asketo mark to market a book of plain vanilla stooptions. The trar is short ep out-of-money options anlong at-the-money options. There is a pronouncesmile for these options. The trar’s bonus increases the value of his book increases. Whiapproach shoulyou use to mark the book? Use the implievolatility of at-the-money options because the estimation of the volatility is more reliable. Use the average of the implievolatilities for the traoptions for whiyou have ta because all options shoulhave the same implievolatility with Black-Scholes anyou n’t know whione is the right one. For eaoption, use the implievolatility of the most similoption traon the market. Use the historicvolatility because ing so corrects for the pricing mistakes in the option market. C is correct. 考点 : Volatility Smile 解析 : The prices obtainewith C are the right ones because they corresponto prices whiyou coulsell or buy the options. 老师这题两个期权的组合为什么不能用historicta去定价,也是我感觉是正确的

2022-10-08 13:33 1 · 回答

NO.PZ2018122701000086问题如下 You are asketo mark to market a book of plain vanilla stooptions. The trar is short ep out-of-money options anlong at-the-money options. There is a pronouncesmile for these options. The trar’s bonus increases the value of his book increases. Whiapproach shoulyou use to mark the book? Use the implievolatility of at-the-money options because the estimation of the volatility is more reliable. Use the average of the implievolatilities for the traoptions for whiyou have ta because all options shoulhave the same implievolatility with Black-Scholes anyou n’t know whione is the right one. For eaoption, use the implievolatility of the most similoption traon the market. Use the historicvolatility because ing so corrects for the pricing mistakes in the option market. C is correct. 考点 : Volatility Smile 解析 : The prices obtainewith C are the right ones because they corresponto prices whiyou coulsell or buy the options. 如题

2022-03-17 22:33 1 · 回答