Determine the present value in year zero of a gradient series that begins with a cash flow of $7,000 in year 5 and has annual increases in 8% each year through year 12. Assume the interest rate is 8% annual.

Assume that $464.03 invested today will grow to $8,106.65 at the end of 47 quarters. Determine the effective annual interest rate being earned on this investment.

"Assume that the interest rate is 8.5% per year and you expect to receive the following stream of annual cash flows (The year 0 cash flow occurs today and the year 4 cash flow occurs exactly 4 years from today): (Year 0: $15,100); (Year 1: $21,100); (Year 2: $12,700): (Year 3: $19,250): (Year 4: $9,550); What is the current Present Value (PVO) of the stream of cash flows?" a)"$68,013- b)"$67,297" c)"$77,700 d)"$62,025" e)$64,399 f)$68,643"

For a present sum of $620,000, determine the annual worth (in then-current dollars) in years 1 through 7 if the market interest rate is 12% per year and the inflation rate is 5% per year.The annual worth is $?