Calendar Spread

An investor started a calendar spread in October 2019 with a short position in 1-year European call and a long position in 2-year European call. Both calls are on the same non-dividend-paying stock and have the strike price of $120. At that time, the price of 1-year call was $5 and the price of 2-year call was $8. One year has passed, and the investor is now about to close all of the positions. The current stock price is $150 and the risk-free interest rate is 3% per annum. What is smallest and largest possible profit from this calendar spread? (Hint: Consider the lower/upper bound for the option price.)

Please answer in the following format

Action Payoff at time T ST 2K = 120 K = 120 > ST Short one year call and K = 120 Long two year call and K = 120 Net payoff Initial cash flow Profit