## Abstract and Applied Analysis

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

#### 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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2015, Special Issue (2015), Article ID 805695, 8 pages.

Dates
First available in Project Euclid: 17 August 2015

https://projecteuclid.org/euclid.aaa/1439816314

Digital Object Identifier
doi:10.1155/2015/805695

Mathematical Reviews number (MathSciNet)
MR3384350

Zentralblatt MATH identifier
06929085

#### Citation

Gómez-Valle, L.; Martínez-Rodríguez, J. The Role of the Risk-Neutral Jump Size Distribution in Single-Factor Interest Rate Models. Abstr. Appl. Anal. 2015, Special Issue (2015), Article ID 805695, 8 pages. doi:10.1155/2015/805695. https://projecteuclid.org/euclid.aaa/1439816314

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