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Interest rate convexity and the volatility smile

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  • Boenkost, Wolfram
  • Schmidt, Wolfgang M.
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    Abstract

    When pricing the convexity effect in irregular interest rate derivatives such as, e.g., Libor-in-arrears or CMS, one often ignores the volatility smile, which is quite pronounced in the interest rate options market. This note solves the problem of convexity by replicating the irregular interest flow or option with liquidly traded options with different strikes thereby taking into account the volatility smile. This idea is known among practitioners for pricing CMS caps. We approach the problem on a more general scale and apply the result to various examples. --

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    Bibliographic Info

    Paper provided by Frankfurt School of Finance and Management, Centre for Practical Quantitative Finance (CPQF) in its series CPQF Working Paper Series with number 4.

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    Date of creation: 2006
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    Handle: RePEc:zbw:cpqfwp:4

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    Related research

    Keywords: interest rate options; volatility smile; convexity; option replication;

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    1. Ansgar Belke & Thorsten Polleit, 2006. "How the ECB and the US Fed Set Interest Rates," Diskussionspapiere aus dem Institut für Volkswirtschaftslehre der Universität Hohenheim 269/2006, Department of Economics, University of Hohenheim, Germany.
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    Cited by:
    1. Libman, Alexander & Kozlov, Vladimir & Schultz, André, 2012. "Roving bandits in action: Outside option and governmental predation in autocracies," Frankfurt School - Working Paper Series 190, Frankfurt School of Finance and Management.
    2. Yu, Xiaofan, 2011. "A spatial interpretation of the persistency of China's provincial inequality," Frankfurt School - Working Paper Series 171, Frankfurt School of Finance and Management.
    3. Inklaar, Robert & Koetter, Michael & Noth, Felix, 2012. "Who's afraid of big bad banks? Bank competition, SME, and industry growth," Frankfurt School - Working Paper Series 197, Frankfurt School of Finance and Management.
    4. Böing, Philipp & Müller, Elisabeth, 2012. "Technological Capabilities of Chinese Enterprises: Who is Going to Compete Abroad?," Annual Conference 2012 (Goettingen): New Approaches and Challenges for the Labor Market of the 21st Century 62081, Verein für Socialpolitik / German Economic Association.
    5. Harhoff, Dietmar & Mueller, Elisabeth & Van Reenen, John, 2012. "What are the channels for technology sourcing? Panel data evidence from German companies," Frankfurt School - Working Paper Series 187, Frankfurt School of Finance and Management.
    6. Kostka, Genia & Moslener, Ulf & Andreas, Jan G., 2011. "Barriers to energy efficiency improvement: Empirical evidence from small-and-medium sized enterprises in China," Frankfurt School - Working Paper Series 178, Frankfurt School of Finance and Management.
    7. Boeing, Philipp & Mueller, Elisabeth & Sandner, Philipp, 2012. "What makes Chinese firms productive? Learning from indigenous and foreign sources of knowledge," Frankfurt School - Working Paper Series 196, Frankfurt School of Finance and Management.

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