Лаплас, Хансен-Сарџент и Бевериџ-Нелсон напомена о јединственој пословној примени
Sažetak
У раду се изводи услов еквиваленције између Бевериџ-Нелсонове декомпозиције и Хансен-Сарџентове формуле предвиђања у континуираном времену користећи Лапласову трансформацију. Представљени резултати показују како је Хансен-Сарџентова формула предвиђања релевантна не само за дисконтовање садашње вредности, већ и за декомпозицију трендова циклуса готовинских токова на тренд и цикличну компоненту у корпоративним финансијама.
Reference
Beveridge, S., & Nelson, C. (1981). A New Approach to Decomposition of Economic Time Series into Permanent and Transitory Components with Particular Attention to Measurement of the Business Cycle. Journal of Monetary Economics, 7 (2), 151-174.
Brunnermeier, M., & Sannikov, Y. (2016). Macro, Money and Finance-A Continuous Time Approach. National Bureau of Economic Research. NBER Working Paper No. 22343. Retreived from https://www.nber.org/system/files/working_papers/w22343/w22343.pdf
Buser, S. (1986). Laplace Transforms as Present Value Rules: A Note. Journal of Finance, 41 (1), 243-247.
Chang, X., Dasgupta, S., Wong, G., & Yao, J. (2014). Cash-Flow Sensitivities and the Allocation of Internal Cash Flow. The Review of Financial Studies, 27 (12), 3628-3657.
Cochrane, J. (2012). Continuous-Time Linear Models. Foundations and Trends in Finance, 6 (3), 165-219.
Dasgupta, S., Noe, T.H., & Wang, Z. (2011). Where Did All the Dollars Go? The Effect of Cash Flows on Capital and Asset Structure. The Journal of Financial and Quantitative Analysis, 46 (5), 1259-1294.
Gatchev, V.A., Pulvino, T., & Tarhan, V. (2010). The Interdependent and Intertemporal Nature of Financial Decisions: An Application to Cash Flow Sensitivities. The Journal of Finance, 65 (2), 725-763.
Grubbström, R. (1967). On the Application of the Laplace Transform to Certain Economic Problems. Management Science, 13 (7), 558-567.
Hansen, L.P., & Sargent, T.J. (1981). A Note on the Wiener-Kolmogorov Prediction Formulas for Rational Expectations Models. Economic Letters, 8 (3), 255-260.
Hendry, D. & Pretis, F. (2016). All Change! The Implications of Non-Stationarity for Empirical Modelling, Forecasting and Policy. Oxford Martin School Policy Paper Serires. Retreived from https://ssrn.com/abstract=2898761.
Kamber, G., Morley, J., & Wong, B. (2018). Intuitive and Reliable Estimates of the Output Gap from a Beveridge-Nelson Filter. The Review of Economics and Statistics, 100 (3), 550-566.
Nelson, C.R. (2008). The Beveridge-Nelson Decomposition in Retrospect and Prospect. Journal of Econometrics, 146 (2), 202-206.
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