Overlapping financial returns are sometimes used to increase the efficiency and power of statistical tests and for Value-at-Risk analysis. This is particularly useful when there are not many observations, such as daily returns for emerging markets. Sometimes, returns show autocorrelation. In this paper, unbiased variance estimators are derived for overlapping returns when the returns are generated by AR(1) or MA(1) processes. A limited Monte Carlo experiment reveals that alternative estimators can suffer from substantial bias. The relevance of using proper estimators is emphasized by considering daily returns for six emerging markets

asset returns, estimation theory, first-order dynamics, overlapping returns, random walks, rate of return
dx.doi.org/10.1080/13504860210162029, hdl.handle.net/1765/2180
Applied Mathematical Finance
Erasmus School of Economics

Franses, Ph.H.B.F, & Kluitman, R. (2002). Estimating volatility on overlapping returns when returns are autocorrelated. Applied Mathematical Finance, 179–188. doi:10.1080/13504860210162029