2. (Annuity) Consider a retirement plan that pays 50000 a year for 15 years. The interest rate in the economy is 4%. i) What is the actuarilly fair) price of the retirement plan? ii) If instead of the retirement plan you wish to put your money in a savings account that pays you 3% annually, how much money would you need to have saved at retirement to get the same payment as with the retirement plan? iii) Imagine that the plan has a clause that allows you to do the following: after 10 pay- ments have been made, you can either continue with the plan or abandon the plan and get a single lump sum payment in the date the 11th payment is due. What is the maximum possible value of the single payment