Answer the following questions (5 points each)

a. What is the future value of an initial $5000 after 10 years at 4% annual interest rate?

b. Find the future value of the ordinary annuity with payment of $500 per year for 20 years at 4% annual interest rate.

c. Find the present value of the ordinary annuity with payment of $500 per year for 20 years at 4% annual interest rate.

d. If your investment grows at 12% per year, how many years will take before this investment grows three times?

e. What interest rate would cause $1000 to grow to $3000 in 12 years?

f. Uneven future cash flows are given: CF₁=$100; CF₂=$200; and CF₃=$400 with a discount rate of 10%.

Find the present value of this cash flows by using a PV formula