Hi$!$ Need help on the following scenario:: Imagine I believe the prices of large tech companies will decrease significantly in the near future. To take advantage, I decide to take a short position in a tech stock. Say it is currently trading for $$850$ per share. Assume my broker requires an initial margin rate $($IMR$)$ of $60\%$ and a maintenance margin rate $($MMR$)$ of $35\%.$

So I decide to short sell $10$ shares at the current price of $$850$ per share, using the full $60\%$ margin rate allowed by my broker. What percentage return will I earn on the investment if the price increases to $$900$ per share over the next year?

Part B: Suppose I change my mind and bet on the expected price decrease by purchasing European Put options on that stock with an exercise price of $$850$ and one year to expiration. Better said, I invest the same amount of money as in part A$,$ but invest the full amount in these new put options at a price of P$=$$$51$ per option. What percentage return will I earn on my investment if the price of that stock increases to $$900$ per share over the next year?