Q$1.$ An investor buys a call option with a strike of $$30$ for $$3$ and sells a call option with a strike price of $$35$ for $$1.$

a$)$ What is the cost of the strategy?

b$)$ What is the breakeven point?

c$)$ At what range of future stock prices will the strategy be profitable?

d$)$ What is the maximum gain that you can make from this strategy?

e$)$ At what range of stock prices will you exercise the long position?

f$)$ At what range of future stock prices will the strategy lead to a loss?

g$)$ What is the maximum loss that you can incur from this strategy and when?

h$)$ Fine the profit from the bull spread if stock price is above $$35,$ between $$30$ and $$35,$ and below $$30$