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Journal of Mathematical Finance (JMF) aims at presenting the latest developments in pure and applied financial mathematics. It considers important theoretical, empirical and review papers. All manuscripts must be prepared in English and are subject to a rigorous and fair peer-review process. Generally, accepted papers…
Sarisa Pinkham, Pairote Sattayatham
We present a European option pricing when the underlying asset price dynamics is governed by a linear combination of the time-change Lévy process and a stochastic interest rate which follows the Vasicek process. We obtain an explicit formula for the European…
Hui Gong, You Liang, Aerambamoorthy Thavaneswaran
In this paper, we investigate recent developments in option pricing based on Black-Scholes processes, pure jump processes, jump diffusion process, and stochastic volatility processes. Results on Black-Scholes model with GARCH volatility (Gong, Thavaneswaran a…
Vladimir G. Ivancevic
Adaptive wave model for financial option pricing is proposed, as a high-complexity alternative to the standard Black-Scholes model. The new option-pricing model, representing a controlled Brownian motion, includes two wave-type approaches: nonlinear and quant…
Xing Yu, Hongguo Sun, Guohua Chen
This paper proposed the optimal portfolio model maximizing returns and minimizing the risk expressed as CvaR under the assumption that the portfolio yield subject to heavy tail. We use fuzzy mathematics method to solve the multi-objectives model, and compare…
Lingyan Cao, Zheng-Feng Guo
In this paper, we employ two stock pricing models: a Black-Scholes (BS) model and a Variance Gamma (VG) model, and apply the maximum likelihood method (MLE) to estimate corresponding parameters in each model. With the estimated parameters, we conduct Monte Ca…
Nonthiya Makate, Pairote Sattayatham
An alternative option pricing model is proposed, in which the asset prices follow the jump-diffusion model with square root stochastic volatility. The stochastic volatility follows the jump-diffusion with square root and mean reverting. We find a formulation…
Wenguang Yu, Yujuan Huang
In this paper, we consider the dividend payments prior to absolute ruin in a Markovian regime-switching risk process in which the rate for the Poisson claim arrivals and the distribution of the claim amounts are driven by an underlying Markov jump process. A…
Lucia Del Chicca, Gerhard Larcher
An “average investor” is an investor who has “average risk aversion”, “average expectations” on the market returns and should invest in the “market portfolio” (this is, according to the Capital Asset Pricing Model, the best possible portfolio for such an inve…
Jaya Prakasah Narayan Bishwal
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 dea…
Tristan Nguyen, Robert Danilo Molinari
According to the Solvency II directive the Solvency Capital Requirement (SCR) corresponds to the economic capital needed to limit the probability of ruin to 0.5%. This implies that (re-)insurance undertakings will have to identify their overall loss distribut…
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Journal of Mathematical Finance (JMF) aims at presenting the latest developments in pure and applied financial mathematics. It considers important theoretical, empirical and review papers. All manuscripts must be prepared in English and are subject to a rigorous and fair peer-review process. Generally, accepted papers… All articles are open access under a CC BY 4.0 licence, with authors retaining copyright.
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