Abstract:This paper proposes a new discrete-time option-pricing model, the Bisected Affine Realized Volatility and Jump (BARVJ) model, by jointly modeling overnight volatility, intraday volatility, and jump variation of the underlying asset, and derives a closed-form pricing formula for European options using the Fourier inversion. The pricing performance of the BARVJ model and the benchmarks are examined empirically. By considering overnight high-frequency information and jump variation, the BARVJ model achieves an improvement of 19.99% in pricing accuracy. The BARVJ model performs even better for options with longer maturity and during highly volatile times.