This paper presents a fallacy of the Black and Scholes' (BS) option pricing concept. The BS pricing is still the unique theoretical way for pricing derivatives though quite a large number of expert have found a lot of remarks concerning its theoretical and practical failings. We should note that...

In the present paper we fill an essential gap in the Convertible Bonds pricing world by deriving a Binary Tree based model for valuation subject to credit risk. This model belongs to the framework known as Equity to Credit Risk. We show that this model converges in continuous time to the model...

In this article we define a multi-factor equity-interest rate hybrid model with non-zero correlation between the stock and interest rate. The equity part is modeled by the Heston model [Heston-1993] and we use a Gaussian multi-factor short rate process [Brigo,Mercurio-2007; Hull-2006]. By...

Price dynamics of the asset depends on the collective action of buyers and sellers, including both institutional and private investors. A large number of diverse, sometimes contradictory, reasons can underlie the decisions of market participants. In certain periods, asset purchases can be a...

We argue that default option is important for equity valuation and construct a model that explicitly prices the option to default or abandon the firm. An investment strategy that buys stocks that are classified as undervalued by our model and shorts overvalued stocks generates an annual 4-factor...

This paper proposes a preference-based general equilibrium model that explains the pricing of the S&P 500 index options since the 1987 market crash. The central ingredients are a peso component in the consumption growth rate and the time-varying risk aversion induced by habit formation that...

We model the S&P500 index options dynamics using the CGMY distribution, with independent "up" and "down" return jumps, and diffusive jump intensities. Allowing the up and down parts to be separately parameterised accounts for the dynamic smirk effect, without correlation between returns and...

Many users of mortality models are interested in using them to place values on longevity-linked liabilities and securities. Modern regulatory regimes require that the values of liabilities and reserves are consistent with market prices (if available), whilst the gradual emergence of a traded...

The aims of this paper are twofold. Firstly, we present an approximating formula for pricing basket and multi-asset spread options, which genuinely extends Caldana and Fusai (2013) two-asset spread options formula. Secondly, under the lognormal setting, we show that our formula becomes a Black...

This paper aims to test three parametric models in pricing and hedging higher-order moment swaps. Using vanilla option prices from the volatility surface of the Euro Stoxx 50 Index, the paper shows that the pricing accuracy of these models is very satisfactory under four different pricing error...