m*****n 发帖数: 3575 | 1 是不是很好做?
对一个单纯Poisson跳
只要在每个dt
上加一个
1{ U < 入dt }
U ~ Uniform[0,1]
就可以模拟了吧
需要做Risk Neutral
就再减去
入dt
诸位看看,我说的对不对,呵呵 | Q***5 发帖数: 994 | 2 Why bother with such a discrete simulation? You can simply get it more
accurately and efficiently by the following :
The pdf of the first jump is \lambda e^{-\lambda t}, to sample the first
jump, you only need to solve cdf = U, where U is uniformly sampled from [0,
1].
which leads to
t = -\frac{ln(1-U)}{\lambda},
Repeat this process of the second, third,... jumps.
【在 m*****n 的大作中提到】 : 是不是很好做? : 对一个单纯Poisson跳 : 只要在每个dt : 上加一个 : 1{ U < 入dt } : U ~ Uniform[0,1] : 就可以模拟了吧 : 需要做Risk Neutral : 就再减去 : 入dt
|
|