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a) What is the present value today of a 20-year annuity of $1,000 per payment if the discount rate is 10% and the first payment

a) What is the present value today of a 20-year annuity of $1,000 per payment if the discount rate is 10% and the first payment is 1 year from now?

b) What is the present value today of a 20-year growing annuity if first payment is $1,000 and each successive payment grows at 3%? Assume the discount rate is 10% and the first payment is 1 year from now?

c) What is the present value today of a perpetuity if each payment is $1,000? Assume the discount rate is 10% and the first payment is 1 year from now?

d) What is the present value today of a growing perpetuity if first payment is $1,000 and each successive payment grows at 3%? Assume the discount rate is 10% and the first payment is 1 year from now?

e) What is the present value today of a 15-year annuity of $1,500 per payment if the discount rate is 10% and the first payment is 10 years from now?

f) What is the present value today of a growing perpetuity if first payment is $500 and each successive payment grows at 2%? Assume the discount rate is 10% and the first payment is 5 years from now?

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