In this paper we obtain some formulas for pricing contingent convertibles subject to what we call extension risk, i.e., the possibility that bond issuer does not buy back the bond at pre specified call dates and then new coupons rate are established until bond maturity. We follow a structural...

Contingent Convertibles ("CoCos") are contingent capital instruments which convert into shares, or have a principal write down, if a trigger event takes place. CoCos exhibit the undesirable so-called "death-spiral effect": by actively hedging the equity risk, investors can (unintentionally)...

In this paper the authors introduce the new concept of implied liquidity on the basis of the recent developed two-way price theory (conic finance). Implied liquidity isolates and quantifies in a fundamental way liquidity risk in financial markets. It is shown on real market option data on the...

We look at the problem of pricing CoCo bonds where the underlying risky asset dynamics are given by a smile conform model, more precisely an exponential Lévy process incorporating jumps and heavy tails. A core mathematical quantity that is needed in closed form in order to produce an exact...

In this paper we study the asymptotic behaviour of power and multipower variations of stochatstic processes. Processes of the type considered serve in particular, to analyse data of velocity increments of a uid in a turbulence regime with spot intermittency sigma. The purpose of the present...

Convergence in probability and central limit laws of bipower variation for Gaussian processes with stationary increments and for integrals with respect to such processes are derived. The main tools of the proofs are some recent powerful techniques of Wiener/Itocirc;/Malliavin calculus for...

In this paper we consider an insider with privileged information that is affected by an independent noise vanishing as the revelation time approaches. At this time, information is available to every trader. Our financial markets are based on Wiener space. In probabilistic terms we obtain an...

In 1988 Dybvig introduced the payoff distribution pricing model (PDPM) as an alternative to the capital asset pricing model (CAPM). Under this new paradigm agents preferences depend on the probability distribution of the payoff and for the same distribution agents prefer the payoff that requires...