5. A man has $25,000 available to set up annuities. Charity A is to receive $X a year at the end of every year for 20 years with the first payment exactly one year from today, and Charity B is to receive $Y at the end of every year in perpetuity with the first payment exactly one year after Charity A receives its last payment. All interest is 8% compounded semi-annually. (a) Suppose X= $2000 and Y= $1000. How much of the $25,000 is needed to set up two annuities, one for each charity, or is $25,000 not enough to do this? (b) Suppose the man decides to divide the $25,000 between the two charities so that X = Y. Find the value for X and Y. (c) Suppose the man decides to divide the $25,000 equally between the two charities. Find the values of X and Y. (d) Suppose the man decides to have X= $2000. Find the largest possible value for Y. 5. A man has $25,000 available to set up annuities. Charity A is to receive $X a year at the end of every year for 20 years with the first payment exactly one year from today, and Charity B is to receive $Y at the end of every year in perpetuity with the first payment exactly one year after Charity A receives its last payment. All interest is 8% compounded semi-annually. (a) Suppose X= $2000 and Y= $1000. How much of the $25,000 is needed to set up two annuities, one for each charity, or is $25,000 not enough to do this? (b) Suppose the man decides to divide the $25,000 between the two charities so that X = Y. Find the value for X and Y. (c) Suppose the man decides to divide the $25,000 equally between the two charities. Find the values of X and Y. (d) Suppose the man decides to have X= $2000. Find the largest possible value for Y