(a) What is time value of money? Briefly explain how it is related to interest rate. (b) You have won a lottery and can choose to receive payment under one of the following two arrangements: (I) $250,000 every six months forever, or (II) a fixed payment of $X every six months for 10 years. If the relevant half-yearly rate is 5% and the first payment under both arrangements will start in six months, answer the following questions. (i) How much is the lottery worth today under arrangement (I)? (ii) What is the minimum amount of $X in arrangement (II) so that it has a greater value than arrangement (I)? (iii) Determine which arrangement belongs to a perpetuity and briefly discuss the difference between a perpetuity and growing perpetuity. 4b(i) dont' know the answer , so want this answer first please