| PDF: |
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Author(s): |
Andrianov B. G., L. K. Vasyukova, |
| Number of journal: |
3(76) |
Date: |
September 2026 |
| Annotation: |
This paper empirically evaluates the discrete-wave
asset pricing hypothesis, which posits that financial asset prices
evolve through a sequence of stable equilibrium states separated
by discrete regime shifts rather than as a continuous stochastic
process.
Using data for 74 Russian stocks over the period from
2013 to 2025, and applying methods for identifying jumps,
the Jarque-Bera and Ljung-Box tests, as well as a Markov
switching model, empirical evidence was obtained
that contradicts the simple continuous random walk model and is consistent with a regime‑discrete interpretation
of price dynamics. An event study of 20 major news shocks
further reveals abnormal return accumulation before
public announcements in 11 cases, indicating that transitions
between equilibrium regimes are often gradual.
We then evaluate the economic implications of the hypothesis
through an out-of-sample test of a reflexive equation
and a dynamic position-reduction strategy derived from
it. Neither approach produces statistically significant
improvements in the Sharpe ratio, return volatility, or maximum
drawdown relative to a passive buy-and-hold benchmark.
When aggregating data to weekly and monthly levels,
the method of inheriting daily jumps does not allow us
to reject the hypothesis of independence within periods,
while a robust jump detector continues to identify heavy tails
and distributional asymmetry on higher timeframes.
The combined results are consistent with the discrete‑wave
nature of price as a structural property of the market, but they do not
reveal its predictive value for tactical portfolio management over the
examined horizon, which justifies the conceptual distinction between
trading – working with discrete price movements – and investing –
using smoothed dynamics over longer intervals with elements. |
| Keywords: |
discrete-wave pricing theory, asset pricing, Russian
stock market, price jumps, volatility clustering, Markov
switching model, efficient market hypothesis, event study, abnormal
return, Jarque-Bera test, time series, volatility regimes |
| For citation: |
Andrianov B. G., Vasyukova L. K. Discrete-wave asset pricing hypothesis: empirical test on the Russian stock
market. Biznes. Obrazovanie. Pravo = Business. Education. Law. 2026;3(76):46—60. DOI: 10.25683/VOLBI.2026.76.1735. |