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20讲动态套期保值

Lecture 20 - Dynamic Hedging
课程网址: http://videolectures.net/yalemecon251f09_geanakoplos_lec20/  
主讲教师: John Geanakoplos
开课单位: 耶鲁大学
开课时间: 2012-03-17
课程语种: 英语
中文简介:
假设您有一个完美的或有抵押预付款模型,就像前一讲中建立的那样。您愿意押注您的预付款预测,但不会考虑利率将以何种方式移动。套期保值可以减轻额外风险,因此您只需要依赖于您所知道的事情。套期保值的问题在于,在抵押贷款的30年生命中可能会发生很多事情。即使利率每年只能做两件事,在30年内也有超过10亿的利率情景。对这么多突发事件进行对冲似乎是不可能的。动态套期保值的原则表明,只要在接下来的每一年你调整套期保值以防止一年后可能发生的事情,就足以对冲明年可能发生的两件事情(这远不那么繁重)。为了说明这个问题,我们从之前的讲座中重新考虑了世界大赛的问题。假设你知道洋基队有60%的几率在每场比赛中击败道奇队,你可以在与其他博彩公司的个别比赛中以60:40的赔率投注任何金额。一个天真的粉丝愿意打赌道奇队以甚至赔率赢得整个系列赛。你有71%的机会赢得对粉丝的赌注,但运气不好会导致你失败​​。你应该通过博彩公司对个人游戏下注以锁定你在整个系列赛中投注粉丝的预期利润?
课程简介: Suppose you have a perfect model of contingent mortgage prepayments, like the one built in the previous lecture. You are willing to bet on your prepayment forecasts, but not on which way interest rates will move. Hedging lets you mitigate the extra risk, so that you only have to rely on being right about what you know. The trouble with hedging is that there are so many things that can happen over the 30-year life of a mortgage. Even if interest rates can do only two things each year, in 30 years there are over a billion interest rate scenarios. It would seem impossible to hedge against so many contingencies. The principle of dynamic hedging shows that it is enough to hedge yourself against the two things that can happen next year (which is far less onerous), provided that each following year you adjust the hedge to protect against what might occur one year after that. To illustrate the issue we reconsider the World Series problem from a previous lecture. Suppose you know the Yankees have a 60% chance of beating the Dodgers in each game and that you can bet any amount at 60:40 odds on individual games with other bookies. A naive fan is willing to bet on the Dodgers winning the whole Series at even odds. You have a 71% chance of winning a bet against the fan, but bad luck can cause you to lose anyway. What bets on individual games should you make with the bookies to lock in your expected profit from betting against the fan on the whole Series?
关 键 词: 抵押贷款提前偿付; 套期保值; 预期利润
课程来源: 视频讲座网
最后编审: 2020-09-26:yumf
阅读次数: 125