Problem:

A particular call is the option to buy stock at $25. It expires in six months and currently sells for $4 when the price of the stock is $26.

Answer the following question:

Question 1: What is the intrinsic value of the call? What is the time premium paid for the call?

Question 2: What will the value of this call be after six months if the price is $20, $25, $30, $40?

Question 3: If the price of the stock rises to $40 at the expiration date of the call, what is the percentage increase in the value of the call? Does his example illustrate favorable leverage?

Question 4: If an individual buys the stock and sells this call, what is the cash outflow (i.e, net cost) and what will the profit on the position be after six months if the price of the stock is $10, $15, $20, $25, $26, $30, $40?

Question 5: If an individual sells this call naked, what will the profit or loss is on the position after six months if the price of the stock is $20, $26, $40?

Please provide step by step solution of each question.