Das, Debam Kumar2021-07-052021-07-052020-0720p.http://hdl.handle.net/10263/7160Dissertation under the supervision of Dr. Diganta Mukherjee, Professor, Sampling and Official Statistics UnitThis work attempts to come up with an optimal strategy that a market-maker could adopt in times of a fire sale at the high frequency level. We use a modern version of the self financing equation applied to a high frequency order book to model the market dynamics. Using the model, we setup an optimal stochastic control problem, the solution to which is the optimal strategy proposed.enFire saleMarket makerOther