Defaultable game options in a hazard process model.
Development of the Stock Exchange Information System
DG method for numerical pricing of multi-asset Asian options—the case of options with floating strike
Option pricing models are an important part of financial markets worldwide. The PDE formulation of these models leads to analytical solutions only under very strong simplifications. For more general models the option price needs to be evaluated by numerical techniques. First, based on an ideal pure diffusion process for two risky asset prices with an additional path-dependent variable for continuous arithmetic average, we present a general form of PDE for pricing of Asian option contracts on two...
DG method for pricing European options under Merton jump-diffusion model
Under real market conditions, there exist many cases when it is inevitable to adopt numerical approximations of option prices due to non-existence of analytical formulae. Obviously, any numerical technique should be tested for the cases when the analytical solution is well known. The paper is devoted to the discontinuous Galerkin method applied to European option pricing under the Merton jump-diffusion model, when the evolution of the asset prices is driven by a Lévy process with finite activity....
DG method for the numerical pricing of two-asset European-style Asian options with fixed strike
The evaluation of option premium is a very delicate issue arising from the assumptions made under a financial market model, and pricing of a wide range of options is generally feasible only when numerical methods are involved. This paper is based on our recent research on numerical pricing of path-dependent multi-asset options and extends these results also to the case of Asian options with fixed strike. First, we recall the three-dimensional backward parabolic PDE describing the evolution of European-style...
DGM for real options valuation: Options to change operating scale
The real options approach interprets a flexibility value, embedded in a project, as an option premium. The object of interest is to valuate real options to change operating scale, typical for natural resources industry. The evolution of the project as well as option prices is decribed by partial differential equations of the Black-Scholes type, linked through a payoff function given by a type of the flexibility provided. The governing equations are discretized by the discontinuous Galerkin method...
Did bank capital regulation exacerbate the subprime mortgage crisis?
Die Zufallsverträge in der Wahrscheinlichkeitsrechnung. I
Die Zufallsverträge in der Wahrscheinlichkeitsrechnung. II
Diffusion approximations of the geometric Markov renewal processes and option price formulas.
Discrete analysis of portfolio selection with optimal stopping time.
Discrete time risk sensitive portfolio optimization with consumption and proportional transaction costs
Risk sensitive and risk neutral long run portfolio problems with consumption and proportional transaction costs are studied. Existence of solutions to suitable Bellman equations is shown. The asymptotics of the risk sensitive cost when the risk factor converges to 0 is then considered. It turns out that optimal strategies are stationary functions of the portfolio (portions of the wealth invested in assets) and of economic factors. Furthermore an optimal portfolio strategy for a risk neutral control...
Discriminant analysis of zero recovery for China's NPL.
Dynamic model of market with uninformed market maker
We model a market with multiple liquidity takers and a single market maker maximizing his discounted consumption while keeping a prescribed probability of bankruptcy. We show that, given this setting, spread and price bias (a difference between the midpoint- and the expected fair price) depend solely on the MM's inventory and his uncertainty concerning the fair price. Tested on ten-second data from ten US electronic markets, our model gives significant results with the price bias decreasing in the...
Dynamic monetary risk measures for bounded discrete-time processes.
Dynamic portfolio optimization with risk management and strategy constraints
We investigate the problem of power utility maximization considering risk management and strategy constraints. The aim of this paper is to obtain admissible dynamic portfolio strategies. In case the floor is guaranteed with probability one, we provide two admissible solutions, the option based portfolio insurance in the constrained model, and the alternative method and show that none of the solutions dominate the other. In case the floor is guaranteed partially, we provide one admissible solution,...
Dynamic programming for an investment/consumption problem in illiquid markets with regime-switching
We consider an illiquid financial market with different regimes modeled by a continuous time finite-state Markov chain. The investor can trade a stock only at the discrete arrival times of a Cox process with intensity depending on the market regime. Moreover, the risky asset price is subject to liquidity shocks, which change its rate of return and volatility, and induce jumps on its dynamics. In this setting, we study the problem of an economic agent optimizing her expected utility from consumption...
Dynamic Stochastic Accumulation Model With Application to Pension Savings Management
Dynamic term structure modelling with default and mortality risk: new results on existence and monotonicity
This paper considers dynamic term structure models like the ones appearing in portfolio credit risk modelling or life insurance. We study general forward rate curves driven by infinitely many Brownian motions and an integer-valued random measure, generalizing existing approaches in the literature. A precise characterization of absence of arbitrage in such markets is given in terms of a suitable criterion for no asymptotic free lunch (NAFL). From this, we obtain drift conditions which are equivalent...
El problema de selección de la cartera en un mercado logarítmico-normal con criterio de utilidad R-ε.
Se estudia el problema de selección de la cartera bajo la hipótesis de que las rentas de los títulos individuales y de las carteras siguen distribuciones logarítmico-normales empleando como criterio de ordenación del conjunto de carteras el criterio de utilidad del riesgo fijado R-ε. Se proporciona el modo de obtener la cartera correspondiente a cada nivel de riesgo, así como el subconjunto de carteras eficientes.