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Risk-adjusted value allocation for (non-traded) assets with performance ratios

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  • Johannes Leitner

Abstract

We propose a new valuation principle for possibly non-traded assets based on an implicit definition of a benchmark. The valuation principle allows taking (default and shortfall) risk constraints explicitly into account. The resulting risk-adjusted value functional is monotonic, positively homogeneous, partially concave and allows for an additive allocation of risk-adjusted values of non-traded assets in a portfolio. The valuation principle is applied to the problem of hedging and pricing in incomplete markets. Furthermore, accounting for non-traded assets is considered and we derive a risk-adjusted balance sheet for non-deterministic cash streams.

Suggested Citation

  • Johannes Leitner, 2008. "Risk-adjusted value allocation for (non-traded) assets with performance ratios," Quantitative Finance, Taylor & Francis Journals, vol. 8(1), pages 93-102.
  • Handle: RePEc:taf:quantf:v:8:y:2008:i:1:p:93-102
    DOI: 10.1080/14697680601175449
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    References listed on IDEAS

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    1. Michael D. Rogers, 2001. "Scientific and technological uncertainty, the precautionary principle, scenarios and risk management," Journal of Risk Research, Taylor & Francis Journals, vol. 4(1), pages 1-15, January.
    2. Harry Markowitz, 1952. "The Utility of Wealth," Journal of Political Economy, University of Chicago Press, vol. 60, pages 151-151.
    3. Martin Schweizer & Christophe Stricker & Freddy Delbaen & Pascale Monat & Walter Schachermayer, 1997. "Weighted norm inequalities and hedging in incomplete markets," Finance and Stochastics, Springer, vol. 1(3), pages 181-227.
    4. Leitner Johannes, 2005. "Optimal portfolios with expected loss constraints and shortfall risk optimal martingale measures," Statistics & Risk Modeling, De Gruyter, vol. 23(1), pages 49-66, January.
    5. Acerbi, Carlo, 2002. "Spectral measures of risk: A coherent representation of subjective risk aversion," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1505-1518, July.
    6. Acerbi, Carlo & Tasche, Dirk, 2002. "On the coherence of expected shortfall," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1487-1503, July.
    7. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    8. Tsanakas, Andreas & Barnett, Christopher, 2003. "Risk capital allocation and cooperative pricing of insurance liabilities," Insurance: Mathematics and Economics, Elsevier, vol. 33(2), pages 239-254, October.
    9. Leitner Johannes, 2005. "Optimal portfolios with expected loss constraints and shortfall risk optimal martingale measures," Statistics & Risk Modeling, De Gruyter, vol. 23(1/2005), pages 49-66, January.
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