most citedBrownian moving averages have conditional full support

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math.PR200826 cited

Brownian moving averages have conditional full support

Alexander Cherny

We prove that any Brownian moving average \[X_t=\int_{-\infty}^t\bigl(f(s-t)-f(s)\bigr) dB_s,\qquad t\ge0,\] satisfies the conditional full support condition introduced by Guasoni,…

math.PR2006

CAPM, rewards, and empirical asset pricing with coherent risk

Alexander S. Cherny, Dilip B. Madan

The paper has 2 main goals: 1. We propose a variant of the CAPM based on coherent risk. 2. In addition to the real-world measure and the risk-neutral measure, we propose the third…

math.PR2006

Pricing and hedging in incomplete markets with coherent risk

Alexander S. Cherny, Dilip B. Madan

We propose a pricing technique based on coherent risk measures, which enables one to get finer price intervals than in the No Good Deals pricing. The main idea consists in splittin…

math.PR20061 cited

Coherent measurement of factor risks

Alexander S. Cherny, Dilip B. Madan

We propose a new procedure for the risk measurement of large portfolios. It employs the following objects as the building blocks: - coherent risk measures introduced by Artzner, De…

math.PR200612 cited

Equilibrium with coherent risk

Alexander S. Cherny

This paper is the continuation of "Pricing with coherent risk" and deals with further applications of coherent risk measures to problems of finance. First, we study the optimizatio…

math.PR20062 cited

Pricing with coherent risk

Alexander S. Cherny

This paper deals with applications of coherent risk measures to pricing in incomplete markets. Namely, we study the No Good Deals pricing technique based on coherent risk. Two form…