A put is the option to sell stock at $$55.$ It expires after three months and currently sells for $$3$ when the price of the stock is $$57.$

a$.$ If an investor buys this put, what will the profit be after three months if the price of the stock is $$60?$ $$55?$ $$50?$ Round your answers to the nearest dollar. Use a minus

sign to enter loss values, if any. If the answer is zero, enter $"0".$

Price of the stock Profit on the position in the put

b$.$ What will be the profit from selling this put after three months if the price of the stock is $$60?$ $$55?$ $$50?$ Round your answers to the nearest do

enter loss values, if any. If the answer is zero, enter $"0".$

Price of the stock Profit on the position in the put