Question: Consider a Russian option with value function V ( S , J ) in the case where thereare continuous dividends paid on the underlying asset

Consider a Russian option with value function V (S, J) in the case where thereare continuous dividends paid on the underlying asset S at rate D. Define thevariable J for this option. A similarity reduction of the form W()= V/J with = S/J leads to1222W +(r D)W rW =0,which must be solved subject toW(1) W(1)=0, W(0)=1, W(0)=0,where =0 is the optimal exercise boundary in similarity coordinates. Thecurrent value of the underlying is S =10. What is the current value of theRussian option assuming that =0.3, r =0.1 and D =0.05? Present yourresults to a minimum of 4 significant digits.

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