What is the present value of a growing annuity where the first annual payment (of $40,000) is in one year, each subsequent payment is 8% greater than the previous payment, and there are 15 payments? What is the future value at the time of the last payment of a growing annuity where the first annual payment (of $50,000) is in one year, each subsequent payment is 4% greater than the previous payment, and there are 20 payments. What is the future value in 21 years of a growing annuity where the first annual payment (of $80,000) is in one year, each subsequent payment is 4% greater than the previous payment, and there are 20 payments. What is the value at the end of the 16th year of $80,000 that is invested at the beginning of the 5th year? (Be careful of the number of periods draw a time line!) A retirement annuity of 30 annual payments (each payment is $50,000) begins 20 years from today. The value of that annuity 20 years from today is The value of that annuity 19 years from today is The value of that annuity today is

At a growth (interest) rate of 24 percent annually, how long will it take for a sum to double? To triple? Use Appendix A for an approximate answer, but calculate your final answer using the formula and financial calculator methods. (Do not round intermediate calculations. Round your final answers to 2 decimal places.)

please do the following questions with full working

Suppose the term structure of risk-free interest rates is as shown here: a. Calculate the present value of an investment that pays $1,000 in 2 years and $4,000 in 5 years for certain. b. Calculate the present value of receiving $900 per year, with certainty, at the end of the next 5 years. To find the rates for the missing years in the table, linearly interpolate between the years for which you do know the rates. (For example, the rate in year 4 would be the average rate in year 3 and year 5.) c. Calculate the present value of receiving $2,700 per year, with certainty, for the next 20 years. Infer rates for the missing years using linear interpolation. (Hint: Use a spreadsheet.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) 2 years 3 years 5 years 7 years 1 year 2.06 2.44 2.64 3.22 3.74 Term Rate (EAR, %) Print Done 10 years 4.25 20 years 5.09 I X t cent.)