a. (1) What is the future value of an initial $1000 after ten years if it is invested in an account paying 20%annual interest? (2) received in three years if the appropriate interest rate is 20%? What is the present value of $1000 to be b. What is the difference between an ordinary annuity and an annuity due? What type of annuity is shown in the following cash flow time line? How would you change it to the other type of annuity? 100 100 100 c. 1 What is the future value of a 5-year ordinary annuity of $500 if the appropriate interest rate is 10%? (2) (3)What would the future value and present What is the present value of the annuity? value be if the annuity were an annuity due (hint: two answers)? d. What is the present value of the following uneven cash flow stream? The appropriate interest rate is 15%, compounded annually 0 1 2 3 4 2000 3000 3000 500 e. What annual interest rate will cause $1000 to grow to $1259.70 in 10 years? f.(1) the future value be larger or smaller if we compound an initial amount more often than annually-for example, every 6 months, or semiannually-holding the stated interest rate constant? Why