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Explaining the level of credit spreads: option-implied jump risk premia in a firm value model

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Author Info
Martijn Cremers (Yale School of Management)
Joost Driessen (University of Amsterdam Business School)
Pascal Maenhout (INSEAD - Finance)
David Weinbaum (Cornell University - Samuel Curtis Johnson Graduate School of Management)

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Abstract

Prices of equity index put options contain information on the price of systematic downward jump risk. We use a structural jump-diffusion firm value model to assess the level of credit spreads that is generated by option-implied jump risk premia. In our compound option pricing model, an equity index option is an option on a portfolio of call options on the underlying firm values. We calibrate the model parameters to historical information on default risk, the equity premium and equity return distribution, and S&P 500 index option prices. Our results show that a model without jumps fails to fit the equity return distribution and option prices, and generates a low out-of-sample prediction for credit spreads. Adding jumps and jump risk premia improves the fit of the model in terms of equity and option characteristics considerably and brings predicted credit spread levels much closer to observed levels.

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Publisher Info
Paper provided by Bank for International Settlements in its series BIS Working Papers with number 191.

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Length: 51 pages
Date of creation: Nov 2005
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Handle: RePEc:bis:biswps:191

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Related research
Keywords: credit spreads; firm value model; jump-diffusion model; option pricing;

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Find related papers by JEL classification:
G12 - Financial Economics - - General Financial Markets - - - Asset Pricing
G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

Cited by:
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  1. Dirk Hackbarth & Junjian Miao & Erwan Morellec, 2005. "Capital Structure, Credit Risk, and Macroeconomic Conditions," Boston University - Department of Economics - Macroeconomics Working Papers Series WP2005-005, Boston University - Department of Economics. [Downloadable!]
    Other versions:
  2. George Tauchen & Hao Zhou, 2006. "Realized jumps on financial markets and predicting credit spreads," Finance and Economics Discussion Series 2006-35, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  3. C.N.V. Krishnan & Peter H. Ritchken & James B. Thomson, 2007. "On forecasting the term structure of credit spreads," Working Paper 0705, Federal Reserve Bank of Cleveland. [Downloadable!]
  4. Jing-zhi Huang & Hao Zhou, 2008. "Specification analysis of structural credit risk models," Finance and Economics Discussion Series 2008-55, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  5. Benjamin Yibin Zhang & Hao Zhou & Haibin Zhu, 2005. "Explaining credit default swap spreads with the equity volatility and jump risks of individual firms," Finance and Economics Discussion Series 2005-63, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  6. Tang, Dragon Yongjun & Yan, Hong, 2008. "Market conditions, default risk and credit spreads," Discussion Paper Series 2: Banking and Financial Studies 2008,08, Deutsche Bundesbank, Research Centre. [Downloadable!]
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