Assume the following values when none is specified:

So $=100$

$\backslash$sigma $=20\%$ T$=1$ K $=100$ r $=5\%$

$1.$ Using a PDE schema of your choice, what are the price, delta, gamma and theta of the forward contract?

$2.$ Using a Monte Carlo method of your choice, what is the price, delta, gamma and theta of the forward contract?