Please answer all

1. What is the value of a perpetuity that pays a quarterly dividend of $0.50 and has a required rate of return of 8%?

2. You plan to buy a new BMW i8 5 years from now. You expect the price of this model of car to increase by 5% per year over the next 5 years. You have calculated that, when you buy the car 5 years from now, your monthly payment will be $3999.79, based on a 5 year loan at 12% annual interest. What is the current price of the car?

3. Ingham Airlines has leased out a jet under a 12-year arrangement. The lease requires the lessee to pay Air Atlantic annual payments of $500,000 beginning next year. If Air Atlantic can invest at 6 percent annually, what is the lease arrangement worth to it?

4. You want to start saving for your daughter's college education now. She will enter university at age 18, and you have decided to put $100,000 into an account to fund her education when she turns 18. If monthly deposits of $640.38 will allow you to reach your goal, how old is your daughter now? Assume you can earn 3% annual interest on your savings, compounded monthly.