What is the relationship between the present-value factor and the annuity present-value factor? (2 marks) B. What will $5,000 invested for 10 years at 8 percent compounded annually grow to? (2 marks) C. How many years will it take $400 to grow to $1,671 if it is invested at 10 percent compounded annually? (2 marks) D. At what rate would $1,000 have to be invested to grow to $4,046 in 10 years? (2 marks) E. Calculate the future sum of $1,000, given that it will be held in the bank for 5 years and earn 10 percent compounded semi-annually. (2 marks) F. What is the present value of an ordinary annuity of $1,000 per year for 7 years discounted back to the present at 10 percent? (2 marks) G. What would be the present value if it were an annuity due? (2 marks) H. What is the future value of an ordinary annuity of $1,000 per year for 7 years compounded at 10 percent? (2 marks) I. What would be the future value if it were an annuity due? (2 marks) J. Given a 10 percent discount rate, what is the present value of a perpetuity of $1,000 per year if the first payment does not begin until the end of year 10?