You are looking into buying an investment with a 20% chance of paying constant dividends of $3 at the end of each year. There is a 60% chance that it will pay dividends that increase by 3% each year and start at $2. There is a 20% chance the investment will pay dividends that start at $4 and increase by $1 for 12 years and then for the next 10 years remain constant at $7. Thereafter the investment will pay a dividend every other year of $8. With i = 7.5% what is the price of the investment.