Maximum Quasi-likelihood Estimation in Fractional Levy Stochastic Volatility Model - Journal of Mathematical Finance

JMF > Vol.1 No.3, November 2011

Journal of Mathematical Finance

Volume 1, Issue 3 (November 2011)

ISSN Print: 2162-2434 ISSN Online: 2162-2442

Google-based Impact Factor: 0.87 Citations h5-index & Ranking

Maximum Quasi-likelihood Estimation in Fractional Levy Stochastic Volatility Model ()

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DOI: 10.4236/jmf.2011.13008 5,390 Downloads 9,942 Views Citations

Author(s)

Jaya Prakasah Narayan Bishwal

Affiliation(s)

ABSTRACT

Usually asset price process has jumps and volatility process has long memory. We study maximum quasi- likelihood estimators for the parameters of a fractionally integrated exponential GARCH, in short FIECO- GARCH process based on discrete observations. We deal with a compound Poisson FIECOGARCH process and study the asymptotic behavior of the maximum quasi-likelihood estimator. We show that the resulting estimators are consistent and asymptotically normal.

KEYWORDS

Absolute Ruin, Debit Interest, Moment-Generating Function, Markovian Regime-Switching Risk Model, Dividend Barrier, Integro-Differential Equation

Share and Cite:

J. Bishwal, "Maximum Quasi-likelihood Estimation in Fractional Levy Stochastic Volatility Model," Journal of Mathematical Finance, Vol. 1 No. 3, 2011, pp. 58-62. doi: 10.4236/jmf.2011.13008.

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