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JumpDiffSim: Jump Diffusion Simulation and Calibration for Merton and Kou Models

Implements the Merton (1976) <doi:10.1016/0304-405X(76)90022-2> and Kou (2002) <doi:10.1287/mnsc.48.8.1086.166> jump-diffusion models through a unified S4 object-oriented interface. Provides exact compound-Poisson asset price simulation, maximum likelihood parameter estimation with Hessian-based standard errors, Wald-type confidence intervals, European option pricing via the Merton analytic series expansion, and publication-quality diagnostic plots. All functionality operates entirely offline without market data dependencies.

Version: 0.1.0
Depends: R (≥ 4.1.0)
Imports: methods, stats, ggplot2 (≥ 4.0.2), numDeriv (≥ 2016.8.1.1)
Suggests: knitr, pkgdown, rmarkdown, covr, testthat (≥ 3.0.0)
Published: 2026-06-03
DOI: 10.32614/CRAN.package.JumpDiffSim
Author: Kennedy Titus Kayaki [aut, cre], Dohyun Oh [aut], Ju Seong Hyeon [aut], Lee Se Eun [aut], Choi Jiwoo [aut], Yuri Shin [aut]
Maintainer: Kennedy Titus Kayaki <kennedy_2244 at yu.ac.kr>
BugReports: https://github.com/kennedy2244/JumpDiffSim/issues
License: GPL (≥ 3)
URL: https://kennedy2244.github.io/JumpDiffSim/, https://github.com/kennedy2244/JumpDiffSim
NeedsCompilation: no
Materials: README, NEWS
CRAN checks: JumpDiffSim results

Documentation:

Reference manual: JumpDiffSim.html , JumpDiffSim.pdf
Vignettes: Getting Started with JumpDiffSim (source, R code)

Downloads:

Package source: JumpDiffSim_0.1.0.tar.gz
Windows binaries: r-devel: JumpDiffSim_0.1.0.zip, r-release: JumpDiffSim_0.1.0.zip, r-oldrel: JumpDiffSim_0.1.0.zip
macOS binaries: r-release (arm64): JumpDiffSim_0.1.0.tgz, r-oldrel (arm64): JumpDiffSim_0.1.0.tgz, r-release (x86_64): JumpDiffSim_0.1.0.tgz, r-oldrel (x86_64): JumpDiffSim_0.1.0.tgz

Linking:

Please use the canonical form https://CRAN.R-project.org/package=JumpDiffSim to link to this page.

These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.