Abstract
This paper provides a new theoretical approach to investigate the sensitivity of the familiar beta of the capital asset pricing model to the length of the return measurement interval; a phenomenon known as the intervalling effect. By setting the problem in a continuous time setting, and using exact results, we are able to generalize existing results in the literature. We derive an expression for beta as a function of the time horizon h, conditional on current time t. We show that beta is monotonic in h and derive conditions for it to be increasing or decreasing.
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