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Show that: a) The price of the stock itself, that is when u(t, X t ) = X t , solves the Black-Scholes-Merton partial differential

Show that:

a) The price of the stock itself, that is when u(t, Xt) = Xt , solves the Black-Scholes-Merton partial differential equation;

b) The risk-free interest rate r compounded continuously solves the Black-Scholes PDE, that is when u(t, Xt) = ert

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