American Airlines is challenged in competing with low cost airlines like Frontier and Southwest. American wants to buy their way into the low cost leisure travel business by buying Spirit Air. You are the VP of Corporate Development for American, and your CEO has asked you to study the possibility of buying Spirit

Goldman Sachs, your investment bank, has provided you with a projection of Spirits future EBITDA forecast:

2020: $100M 2022: $115M 2024: $125M

2021: $110M 2023 : $120M

Your internal team has identified potential revenue synergies of $15M per year and cost synergies of $30M per year, the latter based on combined jet fuel purchases and maintenance. These synergies wont start until 2021, since the deal wont close until 12/31/20

Goldman Sachs tells you that they think Spirit might sell for a 20% premium over its Base Value

Would you recommend buying Spirit to your CEO?

(assume AAs discount rate (weighted average cost of capital or WACC) = 12% and ignore perpetuity value after year 5). Show your math below