Assume the following:

• An average movie ticket costs $12.13 today (Suppose today is 5/1/2020).

• The effective monthly nominal interest rate is 0.5%. If I save in a bank, this is the nominal

  interest rate I am going to earn.

• CPI rises by about 3% every year in the U.S. This is the pace at which the price of a movie ticket

  rises.

• Perpetuities of money and movie tickets are valuable to you because others can inherit them

  from you.

• Expand your cell to show 4 decimal places (e.g., $12.4567).

1. Taking inflation into account, what is the expected nominal price of a movie ticket in 5/1/2030?

2. How much do I have to save in the bank today, so that my bank account in 5/1/2030 is exactly enough to offer 10 tickets?

3. The movie theatre offers you a super ticket, which allows you to get a movie ticket every May 1st starting from today (5/1/2020) until 2030. So you will receive 11 tickets in total. What is the fair value of this super ticket today?

4. The movie theatre also offers you a saving plan, which gives you $20 every May 1st starting from today (5/1/2020) until 2030. So you will receive 11 payments in total. What is the fair value of this saving plan today?