(a) You have won a lottery worth $1,000,000. The amount will be paid to you in equal installments over 20 years. If the interest rate is 10% compounded annually, how much will you be paid at the end of each year?

(b) You have just joined the investment banking firm of Mckenzie & Co. They have offered you two different salary arrangements. You can have $75,000 per year for the next two years, or you can have $55,000 per year for the next two years, along with a $30,000 signing bonus today. If the interest rate is 12% compounded monthly, which is a better offer? NB: first convert the annual percentage rate of 12% to EAR and use the EAR as the discount rate.