Consider the problem of pricing the following options via PDE: (a) European Call (b) European Put (c)

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Consider the problem of pricing the following options via PDE:
(a) European Call
(b) European Put
(c) Up-and-Out Call
(d) Down-and-Out Put
In each case explain reasonable boundary conditions at f(Smin, t) and f(Smax, t) that could be used when solving the PDE.
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