2017/05/03 by Luigi Troiano, Troiano, Luigi, Elena Mejuto Villa +3
Economics, Econometrics and Finance · #Computational Finance (q-fin.CP) #FOS: Economics and business #q-fin.CP
paper · pdf · doi:10.48550/arxiv.1705.01348
IFSA-SCIS 2017, 6 pages, 6 figures, no table
arxiv created 2017/05/03 · arxiv updated 2017/05/04
Realization of uncertainty of prices is captured by volatility, that is the tendency of prices to vary along a period of time. This is generally measured as standard deviation of daily returns. In this paper we propose and investigate the application of fuzzy transform and its inverse as an alternative measure of volatility. The measure obtained is compatible with the definition of risk measure given by Luce. A comparison with standard definition is performed by considering the NIFTY 50 stock market index within the period Sept. 2000 - Feb. 2017.