Pricing charts are treated as continuous series
Financial and economic models regularly treat asset pricing charts and market return series as continuous processes to facilitate derivatives valuation and volatility forecasting.
The claim states that pricing charts are treated as continuous series, which aligns with standard finance and econometric literature where asset prices, volatility, and option pricing models (such as Black-Scholes extensions, continuous-time stochastic volatility models, and CAPM security lines) conceptualize price dynamics in continuous time. Papers 0, 7, and 8 explicitly employ continuous-time frameworks or continuous limits for pricing and simulation. There is no evidence refuting this premise.
Edward L. Bubnys. Simulating and Forecasting Utility Stock Returns: Arbitrage Pricing Theory vs. Capital Asset Pricing Model. 1990. https://doi.org/10.1111/j.1540-6288.1990.tb01286.x
Paper 0 utilizes the Capital Asset Pricing Model and Arbitrage Pricing Theory to simulate asset returns over continuous time frameworks and security market lines.
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Fu J, Fu J. Analytic solutions of variance swaps for Heston models with stochastic long-run mean of variance and jumps.. 2025. https://doi.org/10.1371/journal.pone.0318886
Paper 7 derives continuous-time pricing formulas and limiting properties for variance swaps utilizing stochastic volatility models.
Fabienne Comte, Eric Renault. Long Memory in Continuous-time Stochastic Volatility Models. 2005. https://doi.org/10.1093/oso/9780199257195.003.0009
Paper 8 investigates continuous-time stochastic volatility asset price models and option pricing theories.
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