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20242026
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q-fin.PR2026

VIX options in Bergomi models

Desen Guo, Dan Pirjol, Lingjiong Zhu

We present a study of the leading-order asymptotics for VIX option prices in Bergomi models in the short-maturity and small volatility-of-volatility regimes. Both out-of-the-money…

q-fin.PR2026

VIX and European options with jumps in the short-maturity regime

Desen Guo, Dan Pirjol, Xiaoyu Wang +1

We present a study of the short-maturity asymptotics for VIX and European option prices in local-stochastic volatility models with compound Poisson jumps. Both out-of-the-money (OT…

q-fin.PR2025

VIX options in the SABR model

Dan Pirjol, Lingjiong Zhu

We study the pricing of VIX options in the SABR model where are standard Brownian motions correlated with correlation and $…

q-fin.PR2024

Short-maturity options on realized variance in local-stochastic volatility models

Dan Pirjol, Xiaoyu Wang, Lingjiong Zhu

We derive the short-maturity asymptotics for prices of options on realized variance in local-stochastic volatility models. We consider separately the short-maturity asymptotics for…

q-fin.PR2024

Asian options for local-stochastic volatility models in the short-maturity regime

Dan Pirjol, Lingjiong Zhu

We derive the short-maturity asymptotics for Asian option prices in local-stochastic volatility (LSV) models. Both out-of-the-money (OTM) and at-the-money (ATM) asymptotics are con…

q-fin.PR2024

Short-maturity asymptotics for VIX and European options in local-stochastic volatility models

Dan Pirjol, Xiaoyu Wang, Lingjiong Zhu

We derive the short-maturity asymptotics for European and VIX option prices in local-stochastic volatility models where the volatility follows a continuous-path Markov process. Bot…