Fourni e, Eric, Jean-Michel Lasry, J er ome Lebuchoux, Pierre-Louis Lions and Nizar Touzi, "Application of Malliavin calculus to Monte Carlo Method in Finance," Finance and Stochastics 3, 1999, pp.391-412. Home/Search Document Details and Download
Summary Related Articles Check |
This paper is cited in the following contexts:
Malliavin Calculus Applied to Finance - Montero, Kohatsu-Higa (2002) (Correct)
....non smooth. A Greek is therefore a measure of the sensibility of this price with respect to its parameters. In particular, it could serve to prevent future dangers in the position of a company holding these options. The problem of computing Greeks in Finance has been studied by various authors: [4 8], among others. Let us take a closer look at the problem. If the Leibnitz rule of interchange between expectation and di#erentiation were true then we would have #P(#) #E[#(X(#) #) # # (X(#) #) #X(#) ##(X(#) #) 7) When the above expression does not have a close formula then one ....
....by e rT # . There are various ways of doing the integration by parts. In the already cited literature we find in [7] the following expression: 0 S t dW t 0 S t dt 1 whereas a close variant of it, which involves (8) can be found in [8]: # = 2e rT 0 S t dt . 13 Of course, we may also use the same approach we have present in the previous sections, and obtain a third one: T # T # where T = 0 tS t dt , and = 0 t S v dv , are something ....
[Article contains additional citation context not shown here]
Fournie E., Lasry J.M., Lebuchoux J., and Lions P.L., "Applications of Malliavin calculus to Monte Carlo methods in finance. II", Finance Stochast., 5, 201-236 (2001)
Malliavin Calculus Applied to Finance - Montero, Kohatsu-Higa (2002) (Correct)
....Note that in this particular case the density function of the random variable does not have a known closed formula. Delta in this case is given by e rT # . There are various ways of doing the integration by parts. In the already cited literature we find in [7] the following expression: 0 S t dW t 0 S t dt 1 whereas a close variant of it, which involves (8) can be found in [8] # = 2e rT 0 S t dt . 13 Of course, we may also use the same approach we have present in the previous sections, and ....
Fournie E., Lasry J.M., Lebuchoux J., Lions P.L., and Touzi N., "Applications of Malliavin calculus to Monte Carlo methods in finance", Finance Stochast., 3, 391-412, (1999)
Quasi Monte Carlo Evaluation of Sensitivities of Options.. - Benth, Dahl, Karlsen (Correct)
....AND KENNETH H. KARLSEN Abstract. In this paper we consider the evaluation of sensitivities of options on spots and forward contracts in commodity and energy markets. We derive di erent expressions for these sensitivities, based on techniques from the recently introduced Malliavin approach [8, 9]. The Malliavin approach provides representations of the sensitivities in terms of expectations of the payo and a random variable only depending on the underlying dynamics. We apply Monte Carlo methods to evaluate such expectations, and to compare with numerical di erentiation. We propose to ....
....estimations of the expectation, while the alternative approaches mainly rewrite of the expression for the price, and thus require only one estimation of an expectation. To derive alternatives to numerical di erentiation, we shall use the recently introduced Malliavin approach (see Fourni e et al. [8, 9]) which in our setting is a generalization of the density approach. The density approach moves the di erentiation of the price to a di erentiation of the (known) probability density of the underlying, thus avoiding taking the derivative of the payo function. The Malliavin approach generalizes ....
[Article contains additional citation context not shown here]
E. Fournie, J. M. Lasry, J. Lebuchoux, P. L. Lions, and N. Touzi. Application of Malliavin calculus to Monte Carlo methods in nance II. Finance and Stochastics, 5:201-236, 2001.
Stochastic Particle Methods for Linear Tangent Filtering.. - Cérou, LeGland, Newton (Correct)
....result has been obtained in Campillo and LeGland [2, Section 3.1] under the stronger assumption that the di usion matrix a = is invertible. The proof of Theorem 4.2 uses the reference probability approach, and follows the same lines as the proof of Proposition 3. 1 in Fourni e et al. [6], where the stronger assumption on the invertibility of the di usion matrix a = is made. Proof. Let P denote the probability measure on( F ) absolutely continuous w.r.t. P, with Radon Nikodym derivative Z t;s = expf Z t s c (X u ) dW u 1 2 2 Z t s jc(X u )j 2 ....
E. Fournie, J.-M. Lasry, J. Lebuchoux, P.-L. Lions, and N. Touzi. Applications of Malliavin calculus to Monte Carlo methods in nance. Finance and Stochastics, 3(4):391-412, 1999.
Efficient Particle Methods for Residual Generation in.. - Cérou, LeGland (Correct)
....matrix a = is invertible. The proof of Theorem 3.2 can be found in C erou, Le Gland and Newton [5] it uses the reference probability approach, and a result stated in Liptser and Shiryayev [11, Section 7.6.4] and follows the same lines as the proof of Proposition 3. 1 in Fourni e et al. [8], where the stronger assumption on the invertibility of the di usion matrix a = is made. As a consequence of Theorem 3.2, the following result is obtained. Proposition 3.3 For any k 0, the signed measures w kjk 1 and w k are absolutely continuous w.r.t. the probability ....
E. Fournie, J.-M. Lasry, J. Lebuchoux, P.-L. Lions, and N. Touzi. Applications of Malliavin calculus to Monte Carlo methods in nance. Finance and Stochastics, 3(4):391-412, 1999.
Applications of Malliavin calculus to Monte-Carlo.. - Fournié, Lasry.. (2001) (15 citations) Self-citation (Fourni Lasry Lebuchoux Lions) (Correct)
....Universit e Paris Dauphine, Place Mar echal de Lattre de Tassigny, 75775 Paris Cedex 16, France (e mail: mazzella ceremade.dauphine.fr) 3 Laboratoire de Probabilit es, Universit e Pierre et Marie Curie, 4, Place Jussieu, 75252 Paris C edex 05, France Abstract. This paper is the sequel of Part I [1], where we showed how to use the so called Malliavin calculus in order to devise efficient Monte Carlo (numerical) methods for Finance. First, we return to the formulas developed in [1] concerning the greeks used in European options, and we answer to the question of optimal weight functional in ....
....et Marie Curie, 4, Place Jussieu, 75252 Paris C edex 05, France Abstract. This paper is the sequel of Part I [1] where we showed how to use the so called Malliavin calculus in order to devise efficient Monte Carlo (numerical) methods for Finance. First, we return to the formulas developed in [1] concerning the greeks used in European options, and we answer to the question of optimal weight functional in the sense of minimal variance. Then, we investigate the use of Malliavin calculus to compute conditional expectations. The integration by part formula provides a powerful tool when used ....
[Article contains additional citation context not shown here]
Fourni e, E., Lasry, J.-M, Lebuchoux, J. Lions, P.-L, Touzi, T.: Applications of Malliavin calculus to Monte-Carlo methods in finance. Fin. and Stoch. 3, 391--412 (1999)
A New Computational Scheme for Computing Greeks by the.. - Ryosuke Matsuoka Akihiko (Correct)
No context found.
Fourni e, Eric, Jean-Michel Lasry, J er ome Lebuchoux, Pierre-Louis Lions and Nizar Touzi, "Application of Malliavin calculus to Monte Carlo Method in Finance," Finance and Stochastics 3, 1999, pp.391-412.
Ecient Particle Methods for Residual Generation - In Partially Observed (Correct)
No context found.
E. Fournie, J.-M. Lasry, J. Lebuchoux, P.-L. Lions, and N. Touzi. Applications of Malliavin calculus to Monte Carlo methods in nance. Finance and Stochastics, 3(4):391-412, 1999.
Computations of Greeks in a market with jumps via the.. - El-Khatib, Privault (Correct)
No context found.
E. Fournie, J.M. Lasry, J. Lebuchoux, P.L. Lions, and N. Touzi. Applications of Malliavin calculus to Monte Carlo methods in nance. Finance and Stochastics, 3(4):391-412, 1999.
Computations of Greeks in a market with jumps via the.. - El-Khatib, Privault (Correct)
No context found.
E. Fournie, J.M. Lasry, J. Lebuchoux, and P.L. Lions. Applications of Malliavin calculus to Monte-Carlo methods in nance. II. Finance Stoch., 5(2):201-236, 2001.
Efficient Computation of Hedging Portfolios for Options.. - Cvitanic, Ma, Zhang (Correct)
No context found.
Fournie, E., Lasry, J-M., Lebuchoux, J. and Lions, P-L. (2001) Applications of Malliavin calculus to Monte Carlo methods in Finance II, Finance & Stochastics, to appear.
Efficient Computation of Hedging Portfolios for Options.. - Cvitanic, Ma, Zhang (Correct)
No context found.
Fournie, E., Lasry, J-M., Lebuchoux, J., Lions, P-L., and Touzi, N. (1999) An application of Malliavin calculus to Monte Carlo methods in Finance, Finance & Stochastics, 391, 391-412.
Malliavin Calculus in Finance - Kohatsu-Higa, Montero (2003) (Correct)
No context found.
Fournie E., Lasry J.M., Lebuchoux J., Lions P.L. : Applications of Malliavin calculus to Monte Carlo methods in nance II. Finance Stochast. 5 (2001), 201-236.
Malliavin Calculus in Finance - Kohatsu-Higa, Montero (2003) (Correct)
No context found.
Fournie, E., Lasry, J.-M., Lebuchoux, J., Lions, P.-L., Touzi, N.: An application of Malliavin calculus to Monte Carlo methods in nance. Finance and Stochastics 3 (1999), 391-412
Hedging with Monte Carlo Simulation - Cvitanic, Goukasian, Zapatero (2000) (Correct)
No context found.
Fournie, E., Lasry J-M., Lebuchoux J., Lions P-L. and N. Touzi, 1999, \Applications of Malliavin calculus to Monte Carlo methods in nance", Finance & Stochastics, 4, 391-412.
Local volatility changes in the Black-Scholes model - Bermin, Kohatsu-Higa (1999) (Correct)
No context found.
Fourni#, E., Lasry, J.-M., Lebuchoux, J., Lions, P.-L. and Touzi, N. #1999# An application of Malliavin calculus to Monte Carlo methods in #nance, Finance and Stochastics, 4,tobe published.
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC