This article investigates the problem of determining a fair reclaim price in fractionalized token markets on the Solana blockchain. The research object is the reclaim process, where minority holders must be compensated without exposure to short-term manipulation. The method introduces a program-derived account structured as an 11.5 kB circular buffer storing 720 hourly market prices, combined with an exponential decay weighting scheme with a 24-hour half-life to compute a time-weighted average price. Simulation results demonstrate that extreme pump or dump attempts within the final 72 hours before reclaim have a negligible effect on the computed value. The study concludes that the proposed mechanism ensures fairness for minority holders while maintaining cost efficiency in storage and transaction fees.