Encyclopedia of Quantitative Finance 2010
DOI: 10.1002/9780470061602.eqf13004
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Monte Carlo Greeks

Abstract: This article provides a brief overview of methods for the estimation of hedge parameters (delta, gamma, vega, etc.) for financial derivatives within a Monte Carlo framework. Improvements on the basic resimulation method that are discussed include the pathwise method and the likelihood ratio method. We review the form these computations take and demonstrate the methods with a simple example.

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Cited by 3 publications
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“…Further, we also observe a general performance improvement upon using FLIGHTED data for the training set (see Figure 4b, right). Here performance is measured using weighted Spearman ρ so results with and without FLIGHTED can be directly compared; the weighted Spearman ρ accounts for variance on the test set [27]. We present correlations with FLIGHTED on the test set here; see Extended Data Figure A3a for results without FLIGHTED on the test set.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…Further, we also observe a general performance improvement upon using FLIGHTED data for the training set (see Figure 4b, right). Here performance is measured using weighted Spearman ρ so results with and without FLIGHTED can be directly compared; the weighted Spearman ρ accounts for variance on the test set [27]. We present correlations with FLIGHTED on the test set here; see Extended Data Figure A3a for results without FLIGHTED on the test set.…”
Section: Resultsmentioning
confidence: 99%
“…Performance results are regular MSEs for the datasets without corrections and weighted MSEs for datasets with corrections. Weighted Spearman ρ measurements were made with 100 Monte Carlo replicates [27].…”
Section: Methodsmentioning
confidence: 99%
“…The northern ME is found to have a median current per radian of azimuth of I=9.343.54+5.72 ${I}_{\Vert }=9.3{4}_{-3.54}^{+5.72}$ MA rad −1 , while the southern ME has a median current per radian of azimuth of I=8.613.05+6.77 ${I}_{\Vert }=8.6{1}_{-3.05}^{+6.77}$ MA rad −1 . These median values are found using a Monte Carlo bootstrap analysis with lognormal error perturbation (henceforth just “medians”), in order to better account for the measurement errors in the non‐Gaussian distribution of currents (Curran, 2014). Upper and lower errors correspond to the 84th and sixteenth percentiles, respectively, to approximate 1 σ errors.…”
Section: Resultsmentioning
confidence: 99%