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Quant版 - 有人知道affine jump diffusion model怎么转换成risk-neutral measure下model么?
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g******8
发帖数: 542
1
affine jump diffusion model 是heston model上加入compounded poisson jump on
log price and also on volatility. 我看的几篇research paper, 比如“# B.
Eraker. (2003).# Do Stock Prices and Volatility Jump? Reconciling Evidence
from Spot and Option Prices.”,里面就说转换成risk neutral meausre的affine
jump diffusion model的结果is standard in the literature.可是我没找到起源,不
知道是怎么转换的。这里有大牛指点一下么?谢谢!
w**********y
发帖数: 1691
2
In my memory, logic is the sample as stochastic volatility. Both the risk
premium from stochastic volatility and risk premium from jump need to be
estimated under R-N measure. And actually they should be derived from some
vanilla product, and then used for exotic product.
I am quite not sure about the above statement. I believe you can find it in
Jim Gatheral's "The Volatility Surface: A Practitioner's Guide (Wiley
Finance)".
g******8
发帖数: 542
3
Thank you very much! I will check out the book you recommended. Thanks! The
articles I browsed (coz I did not fully understand) was somehow they
specify a state price density (pricing kernel) and also use something like
Ito's lemma, Radon-Nikodym derivative (change of measure) etc. but I could
not fully understand how they did it.

in

【在 w**********y 的大作中提到】
: In my memory, logic is the sample as stochastic volatility. Both the risk
: premium from stochastic volatility and risk premium from jump need to be
: estimated under R-N measure. And actually they should be derived from some
: vanilla product, and then used for exotic product.
: I am quite not sure about the above statement. I believe you can find it in
: Jim Gatheral's "The Volatility Surface: A Practitioner's Guide (Wiley
: Finance)".

l*******y
发帖数: 4006
4
As far as I recall, the jump process can not be replicated, so, there prob
no real "risk neutral measure".
1 (共1页)
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话题: jump话题: model话题: affine话题: volatility话题: diffusion