Marks] A morning radio show offered the following four prizes as alternative prizes for one of its competitions. Assuming an 11% discount rate, which is the most valuable prize? (Show working to justify your answer.) (a) $8,000 every year for 5 years, with the first amount paid at year 4. (b) $5,500 every year for 4 years, with the first amount paid today? (c) $1,800 every year, forever, with the first amount paid after 1 year. (d) $1,000 now, $9,000 in 3 years, and $20,000 in 8 years. (e) State the most valuable prize. (Give a reason for your choice.)