Exponential martingales and CIR model

Volume 83 / 2008

Wojciech Szatzschneider Banach Center Publications 83 (2008), 243-249 MSC: 91B28, 60G46, 60H30. DOI: 10.4064/bc83-0-15


With the use of exponential martingales and the Girsanov theorem we show how to calculate bond prices in a large variety of square root processes. We clarify and correct several errors that abound in financial literature concerning these processes. The most important topics are linear risk premia, the Longstaff double square model, and calculations concerning correlated CIR processes.


  • Wojciech SzatzschneiderSchool of Actuarial Sciences
    Universidad Anahuac Mexico Norte, Mexico

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