We study an extension of the Heston stochastic volatility model that incorporates rough volatility and jump clustering phenomena. In our model, named the rough Hawkes Heston stochastic volatility model, the spot variance is a rough Hawkes-type process proportional to the intensity process of the...

Exact simulation schemes under the Heston stochastic volatility model (e.g., Broadie-Kaya and Glasserman-Kim) suffer from computationally expensive Bessel function evaluations. We propose a new exact simulation scheme without the Bessel function, based on the observation that the conditional...

The theory of stochastic dominance applied to financial decisions associates classes of investors with classes of gambles (random payoffs). Each investor resides in a class of mixed risk averters (MRA). Pairs of gambles, say, X and Y are classified according to a collection of mathematical...

This paper considers a multi-agent optimal investment problem with conservative sentiments in an incomplete market by a BSDE approach. Particularly, we formulate the conservative sentiments of the agents by a sup-inf/inf-sup problem where we take infimum on a choice of a probability measure and...

This research examined co-volatility movement of cryptocurrencies with conventional asset class indices, including 26 global equity, commodity, real estate, currency, and bond markets. It models time-varying covariance and correlation of volatility, using a multivariate factor stochastic...

The main contribution of the paper is proving that the Fourier spot volatility estimator introduced in [Malliavin and Mancino, 2002] is consistent and asymptotically efficient if the price process is contaminated by microstructure noise. Specifically, in the presence of additive microstructure...

Bitcoin (BTC) has attracted a plethora of investors and professional traders and becomes an almost inevitable asset class in today's financial markets. Deribit, the largest exchange for crypto options, offers European-typed inverse options, which target to BTC in USD but have payoff denominated...

The so-called distribution mapping is a technique, commonly used by practitioners in fixed-income, that allows to tweak model 1D-dis\-tri\-bu\-tions into market $1$D-distributions. This technique is intended to overcome the shortcomings of standard fixed-income diffusion models which do not...

In their daily reserving tasks, general insurance actuaries often use a mix of chain-ladder, Bornhuetter-Ferguson and Cape-Cod methods to estimate the ultimate reserve amounts. These methods are usually applied on cumulative triangles and a payment or incurred pattern is derived from the...

We investigate the impact of credit spreads on the stochastic duration and convexity of corporate bonds with respect to the same metrics for equivalent Treasury bonds. We show that the credit spread has two interacting effects on both the duration and the convexity of a corporate coupon bond as...