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No-arbitrage of second kind in countable markets with proportional transaction costs
No-arbitrage transaction costs bond market
2010/10/21
Motivated by applications to bond markets, we propose a multivariate framework for discrete time financial markets with proportional transaction costs and a countable infinite number of tradable asse...
The fractional volatility model: No-arbitrage, leverage and risk measures
Fractional noise Arbitrage Incomplete market Risk measures
2010/10/21
Based on a criterium of mathematical simplicity and consistency with empirical market data, a stochastic volatility model has been obtained with the volatility process driven by fractional noise. Dep...
No-arbitrage pricing under cross-ownership
Absolute priority rule capital structure irrelevance contingent claims
2010/10/20
We generalize Merton's asset valuation approach to systems of multiple financial firms where cross-ownership of equities and liabilities is present. The liabilities, which may include debts and deriva...
Fractional term structure models: No-arbitrage and consistency
Fractional term structure models No-arbitrage consistency
2010/12/13
In this work we introduce Heath-Jarrow-Morton (HJM) interest rate models driven by fractional Brownian motions. By using support arguments we prove that the resulting model is arbitrage free under pro...
No Arbitrage Conditions For Simple Trading Strategies
Arbitrage Conditions Trading Strategies
2010/12/13
Strict local martingales may admit arbitrage opportunities with respect to the class of simple trading strategies. (Since there is no possibility of using doubling strategies in this framework, the lo...