Diego is qualified to start receiving his Social Security monthly checks of $2000 from the first month after his 66th birthday. He also has the option to wait another 4 years, so he can receive a monthly payment of $3000 from the first month after his 70th birthday. Using the average life expectancy of 85 years, and a nominal annual rate of 6%, he wants to know if he is better off to start receiving his benefits right away or wait until he becomes 70 years old. The payments are made at the end of each month. We assume that he has other sources of income until he becomes 70 years old and does not need the payments right away. a. What is the PV(@66) of the monthly payments if he starts receiving them right away at the age of 66? $ (enter a POSITIVE value with two decimal places) b. What is the PV of the monthly payments if he waits until he becomes 70 years old to start receiving the monthly payments? $ (enter a POSITIVE value with two decimal places). Note, you need to convert this value to the current PV, that is PV(@66) c. Is he better off to wait until he becomes 70 years old or receive his benefits right away at 66? (Enter "70" or "66"). c. Do you think the interest rate should be higher or lower than 6% for Diego to be indifferent between the two options? (Enter Higher or Lower).