以下是引用jxwahc在2008-2-28 10:45:00的发言:前几天在网上搜索资料的时候发现了irvingy评论一些模型的发言,进而发现原来母校还有这样一个很专业的网站。感觉irvingy是位高人,因为我的很多资深的structurer同事对模型理解都没有那么深刻。猜测irvingy兄以前做过quant,但现在可能偏向sales了,否则也不会问赵处的情况了。希望以后有机会能从irvingy兄那里学习学习。
关于Discount Curve的问题,我试图补充一些,我们银行Curve只用前8个futures,因为trader说后面的futures流动性不够好,所以他们不看。但是具体如何构建,因为我们的定价系统是个黑盒子,我想看也看不到,所以无法详说。扫了一眼irvingy兄的链接文章,觉得很不错,讲得很清楚了,只是好像没有提到关于futures的convexity调整(因为futures是每日清算)。本人有一篇DB如何构建curve的文章,里面提到了futures的convexity调整公式(惭愧的是我也没有怎么研究为何公式就是如此,直觉上应该跟martingale的measures转变有关,irvingy兄可否解释一下或有相关材料解释这个问题?工作久了就容易变懒,很多东西约略知道一点就满足了,不求甚解)。如果stevensym兄需要的话,给我个email地址,我发个你(不知是否有版权问题)。
我有Citigroup相关的内部研究资料(240pages),这种实业界的研究和学术界的就是不一样啊,非常pratical的
可惜承诺不能外传
不过可以私下交流下,可以说一下EDF问题.
A Euro-dollar future(EDF) is a one-period swap, with specific start/maturity dates. Thus, a EDF cap option is equivalenet to one caplet, and a EDF put option is equivalent to one floorlet.
Usually, the most front 7 EDF options are very liquidly traded in the exchange, with different strikes. the exchange's EDF options are actually American type that can be exercised any time before the experiation date. However, people traders the EDF options on some special purpose such that the option is seldom get early exercised. Thus one usually treats EDF option as European tpye
The ATM forward is the strike rate , which is obtained from the yield curve and a little different from the EDF quote by a convexity. Compared to the bid/offer spread in the option trading, the convexity is negligible
ABOUT THE CONVEXITY CORRECTION,
I did not check the proof itself, but learn something from convexity correction procedure about CMS date by Pelsser.
and I am sure you can find relative paper about fomal proof of convexity correction by google "pelsser plus convexity"
Here comes my proof by intuition.
first, using first fundamental theorem of mathematical finance
no arbitrage implies that there exists a EMM(equivalent martingale measure), such that all asset dynamics under EMM are martingale
Second, using a small lemma
if Sn are martingales under EMM, we choice relative numeraire such as bank account B, discount factor P(t,T), or PVBP, then normalized dynamics {Sn/B } are still martingales under EMM
third, using the property of martingale
再往后面就不好说了,需要打很多公式了
这个convexity correction的数学基础就是金融学基本定理EMM
[此贴子已经被作者于2008-2-28 13:47:15编辑过]