This paper investigates the optimal asset-liability management problems for two managers subject to relative performance concerns in the presence of stochastic inflation and stochastic volatility. The objective of the two managers is to maximize the expected utility of their relative terminal...

The cryptocurrency marketplace provides liquidity receiving orders from investors. This requires managing the appropriate inventory risk. An optimal liquidation strategy based on stochastic control has been proposed for such inventory risk management problems of FX dealers. However, the...

Optimal execution and trading algorithms rely on price impact models, like the propagator model, to quantify trading costs. Empirically, price impact is concave in trade sizes, leading to nonlinear models for which optimization problems are intractable and even qualitative properties such as...

In high-frequency statistics, observation times are typically generated directly specifying their distribution, or with a hitting-boundary process. In this paper, we consider the latter framework where boundaries are constant and the hitting process features time-varying volatility. For any...

The stochastic-alpha-beta-rho (SABR) model has been widely adopted in options trading. In particular, the normal (β=0) SABR model is a popular model choice for interest rates because it allows negative asset values. The option price and delta under the SABR model are typically obtained via...

In the light of present-day research, as we all know, the financial market owns the characteristics of self-similarity and long-range dependence and Fractional Brownian motion has these properties. From that point, The model with fractional stochastic volatility could be more businesslike than...

The performance of the widely used betting-against-beta (BAB) investment strategy is improved by controlling for the stochastic dominance (SD) relation between individual stocks and the market portfolio. Dominating stocks, preferred by all risk-averse and prudent investors, are excluded from the...

The Guaranteed Minimum Maturity Benefit is quite a popular feature embedded in several unit-linked policies offered by insurance companies. The value of this benefit depends on several processes assumed to describe both the mortality and the financial dynamics, typically represented by interest...

We propose a partial integro-differential equation (PIDE) and a closed-form pricing formula for floating type look-back option when stock price follows exponential Levy process. We first develope a PIDE based on martingale method and from there derive a closed-form formula for pricing contracts....