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Efficient Greek Estimation in Generic Swap-Rate Market Models


Mark S. Joshi


University of Melbourne - Centre for Actuarial Studies

Chao Yang


University of Melbourne - Centre for Actuarial Studies

March 1, 2011

Algorithmic Finance, Vol. 1, No. 1, 2011

Abstract:     
We first develop an efficient algorithm to compute Deltas of interest rate derivatives for a number of standard market models. The computational complexity of the algorithms is shown to be proportional to the number of rates times the number of factors per step. We then show how to extend the method to efficiently compute Vegas in those market models.

Number of Pages in PDF File: 18

Keywords: algorithmic finance, adjoint method, delta, vega, computational order, market model, Monte Carlo simulation

JEL Classification: G13

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Date posted: March 2, 2011  

Suggested Citation

Joshi, Mark S. and Yang, Chao, Efficient Greek Estimation in Generic Swap-Rate Market Models (March 1, 2011). Algorithmic Finance, Vol. 1, No. 1, 2011. Available at SSRN: http://ssrn.com/abstract=1773942

Contact Information

Mark Joshi (Contact Author)
University of Melbourne - Centre for Actuarial Studies ( email )
Melbourne, 3010
Australia
Chao Yang
University of Melbourne - Centre for Actuarial Studies ( email )
Melbourne, 3010
Australia
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