Superhedging and Dynamic Risk Measures under Volatility Uncertainty

When are Static Superhedging Strategies Optimal?

This paper deals with the superhedging of derivatives on incomplete markets, i.e. with portfolio strategies which generate payoffs at least as high as that of a given contingent claim. The simplest solution to this problem is in many cases a static superhedge, i.e. a buy-and-hold strategy generating an affine-linear payoff. We study whether a superhedge can be achieved with less initial capital...

Deposits Funding and Loan Volatility in Iranian Banking System

Banks may well perform differently in lending to firms according to their funding structure. This paper surveys the relation between Loan volatility and deposit in Iranian banking system. The extent to which bank lending is connected to funding structure is affected by the banks’ characteristics (such as capital structure, profitability, and the measure of non-performing loans). To analyze this...

Robust Fundamental Theorem for Continuous Processes

We study a continuous-time financial market with continuous price processes under model uncertainty, modeled via a family P of possible physical measures. A robust notion NA1(P) of no-arbitrage of the first kind is introduced; it postulates that a nonnegative, nonvanishing claim cannot be superhedged for free by using simple trading strategies. Our first main result is a version of the fundamen...

F INANCE R ESEARCH S EMINAR S UPPORTED BY U NIGESTION " A stochastic control approach to no - arbitrage bounds given marginals , with an application to Lookback options

We consider the problem of superhedging under volatility uncertainty for an investor allowed to dynamically trade the underlying asset, and statically trade European call options for all possible strikes with some given maturity. This problem is classically approached by means of the Skorohod Embedding Problem (SEP). Instead, we provide a dual formulation which converts the superhedging problem...

G–Brownian Motion and Dynamic Risk Measure under Volatility Uncertainty