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The Role of the Risk‐Neutral Jump Size Distribution in Single‐Factor Interest Rate Models

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  • L. Gómez-Valle
  • J. Martínez-Rodríguez

Abstract

We obtain a result that relates the risk‐neutral jump size of interest rates with yield curve data. This function is unobservable; therefore, this result opens a way to estimate the jump size directly from data in the markets together with the risk‐neutral drift and jump intensity estimations. Then, we investigate the finite sample performance of this approach with a test problem. Moreover, we analyze the effect of estimating the risk‐neutral jump size instead of assuming that it is artificially absorbed by the jump intensity, as usual in the interest rate literature. Finally, an application to US Treasury Bill data is also illustrated.

Suggested Citation

  • L. Gómez-Valle & J. Martínez-Rodríguez, 2015. "The Role of the Risk‐Neutral Jump Size Distribution in Single‐Factor Interest Rate Models," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:805695
    DOI: 10.1155/2015/805695
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    References listed on IDEAS

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    1. Beliaeva, Natalia & Nawalkha, Sanjay, 2012. "Pricing American interest rate options under the jump-extended constant-elasticity-of-variance short rate models," Journal of Banking & Finance, Elsevier, vol. 36(1), pages 151-163.
    2. Bing-Huei Lin & Shih-Kuo Yeh, 1999. "Junp-Diffusion Interest Rate Process: An Empirical Examination," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 26(7&8), pages 967-995.
    3. Bing‐Huei Lin & Shih‐Kuo Yeh, 1999. "Junp‐Diffusion Interest Rate Process: An Empirical Examination," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 26(7‐8), pages 967-995, September.
    4. Park, Keehwan & Ahn, Chang Mo & Fujihara, Roger, 1993. "Optimal hedged portfolios: the case of jump-diffusion risks," Journal of International Money and Finance, Elsevier, vol. 12(5), pages 493-510, October.
    5. Chapman, David A & Long, John B, Jr & Pearson, Neil D, 1999. "Using Proxies for the Short Rate: When Are Three Months Like an Instant?," The Review of Financial Studies, Society for Financial Studies, vol. 12(4), pages 763-806.
    6. repec:bla:jfinan:v:59:y:2004:i:1:p:227-260 is not listed on IDEAS
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