Hello Sleepybird.
Demonstration below. If you have any doubt, just reply. Firs, some notation:
eq 1: E = F (F is only a function os company assets)
eq 2: W = F - D*V; F (firm value), D(Number of assets to buy), F(firm asset function value)
eq 3: dV=r*dt*V + SigV*dW*V (risk neutral world)
eq 4...
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