Please use the lump sum approach to calculate the present value of an ordinary three-year annuity, where payments are seventy dollars each. Map out each step very clearly. Use r=0.06 (quarterly compounded). What would happen if these payments were "due"? Explain in equation format as well as in words. Makes sure to explain the reasoning behind this as well.
1. Please use the lump sum approach to calculate the
2. The design studio you rented requires you to sign a lease for 60 months, at seven thousand dollars monthly, with the first payment due today. At an APR of .0524 (monthly compounding), what is the present value of the entire stream of payments you will have to make?
3. Nine years ago, Beatrice invested a sum of $6,000. The interest rate she earned changed over time: During the first three years, she earned 5 percent annually compounded, during the following two years she earned 8 percent compounded semiannually, and during the final three years, she earned 10 percent continuously compounded. Find the value of this investment at the end of the 8th Show all work.
4. What will you pay today for an infinite annuity that will pay $3,000 each year, if the first payment occurs in precisely seven years? Assume an interest rate of 9 percent?
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