An award is being​ established, and it will pay ​$11,000 every four years, with the first installment being paid in four years. The award will be given for an indefinitely long period of time. If the interest rate is 2​% per​ annum, what​ lump-sum amount of money​ (invested now) will be required to endow this award​ forever?

(Present value of a growing perpetuity) As a result of winning the Gates Energy Innovation Award, you are awarded a growing perpetuity. The first payment will occur in a year and will be for $30,000. You will continue receiving monetary awards annually with each award increasing by 7 percent over the previous award, and these monetary awards will continue forever. If the appropriate interest rate is 12 percent, what is the present value of this award? The present value of the award is $ nearest cent.) (Round to the

A four-year investment requires annual deposits of $300 at the beginning of each year. The deposits earn 9% per year. What is the investment's future value? Remember, the deposits are made at the beginning of each year (annuity due). A four-year investment requires annual deposits of $300 at the beginning of each year. The deposits earn 9% per year. What is the investment's future value? Remember, the deposits are made at the beginning of each year (annuity due). $1,495.41 $1,459.98 $1,425.22 $1,391.12 $ 1,357.69

Tanya is considering an investment that will require an initial payment of 400,000 and additional payments of 100,000 and 50,000 at the end of years one and two, respectively. It is expected that revenue from this investment will be 150,000 per year for five years, beginning one year from the initial investment.Assuming an annual effective rate of 10%, calculate the net present value of this investment.