Researchers propose a diffusion factor model that integrates latent factor structure into generative diffusion processes for financial scenario simulation.
By exploiting the low-dimensional factor structure inherent in asset returns, the model decomposes the score function using time-varying orthogonal projections.
The proposed model provides nonasymptotic error bounds for both score estimation and generated distribution, surpassing the dimension-dependent limits in classical nonparametric statistics literature.
Numerical studies confirm superior performance in latent subspace recovery and empirical analysis demonstrates the economic significance of the framework.