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Economics版 - 请教个differential equation/control theory问题
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进入Economics版参与讨论
1 (共1页)
j******i
发帖数: 6
1
To anybody who knows black-scholes model and stochastic differential
equation or anybody who knows control theory.
dS=αSdt+βSdB, S denote the price of a stock depends on t,S(t), α is the
drift or rate of return, β is the volatility, B is brownian motion.
How do I incorporate the control parameter γ , and a number “ L “defined
as dN/dS, where N denotes the amount of asset traded and S denote the asset
price so that dS=(αS+γ/L)dt+βSdB
defines a differential equation.
Thank you in advance
W***n
发帖数: 11530
2

defined
asset
This is the kind of thing that the trouble-makers do in program trade.
hahaha

【在 j******i 的大作中提到】
: To anybody who knows black-scholes model and stochastic differential
: equation or anybody who knows control theory.
: dS=αSdt+βSdB, S denote the price of a stock depends on t,S(t), α is the
: drift or rate of return, β is the volatility, B is brownian motion.
: How do I incorporate the control parameter γ , and a number “ L “defined
: as dN/dS, where N denotes the amount of asset traded and S denote the asset
: price so that dS=(αS+γ/L)dt+βSdB
: defines a differential equation.
: Thank you in advance

F****r
发帖数: 345
3
有你这样model SDE的吗?哪里有论文可以查一下?实在是没看懂你的方程。

defined
asset

【在 j******i 的大作中提到】
: To anybody who knows black-scholes model and stochastic differential
: equation or anybody who knows control theory.
: dS=αSdt+βSdB, S denote the price of a stock depends on t,S(t), α is the
: drift or rate of return, β is the volatility, B is brownian motion.
: How do I incorporate the control parameter γ , and a number “ L “defined
: as dN/dS, where N denotes the amount of asset traded and S denote the asset
: price so that dS=(αS+γ/L)dt+βSdB
: defines a differential equation.
: Thank you in advance

p******e
发帖数: 136
4
找本书把stochastic control theory仔细看下,把state and control variable 的意
义弄明白,然后要根据自己研究的东西,写differential equation,,别人整部明白你
想表达的是什么
1 (共1页)
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