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Hsuan-Ku Liu

Publications and source records attributed to Hsuan-Ku Liu.

3 recordsLinked to original sources

Perpetual callable American volatility options in a mean-reverting volatility model

This paper investigates problems associated with the valuation of callable American volatility put options. Our approach involves modeling volatility dynamics as a mean-reverting 3/2 volatility process. We first propose a pricing formula for the perpetual American knock-out put. Under the given conditions, the value of perpetual callable American volatility put options is discussed.

q-fin.PR

The Convexity of the Free Boundary for the American put option

This paper studies the parabolic free boundary problem arising from pricing American-style put options on an asset whose index follows a geometric Brownian motion process. The contribution is to propose a condition for that the early exercise boundary is a convex function.

q-fin.CP

The pricing formula for cancellable European options

This paper examines the value of a cancellable European option in a finite time horizon setting. The specifications of this generalized European option allow the seller to cancel the option at any point in time for a fixed penalty paid directly to the holder. Here, we provide an explicit valuation formula for the European game call where the early cancellation time is obtained iteratively.

q-fin.PR