You have just received notification that you have won the $3 million first prize in the Centennial Lottery. However, the prize will be awarded on your 100th birthday (assuming you’re around to collect), 63 years from now.    What is the present value of your windfall if the appropriate discount rate is 10 percent?

(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

If you invest $10,000 per period for the following number of periods, how much would you have in each of the following instances? Use Appendix C for an approximate answer, but calculate your final answer using the formula and financial calculator methods.  In 50 years at 8 percent? (Do not round intermediate calculations. Round your final answer to 2 decimal places.)

You have just won the lottery and will receive $520,000 in one year. You will receive payments for 26 years, and the payments will increase 4 percent per year. If the appropriate discount rate is 12 percent, what is the present value of your winnings?

What is the present value of $150,000 to be received 8 years from today if the discount rate is 11 percent?

You win a lottery payout of $10,000 a year for the next 30 years. If your investment rate is 8 percent, how much would an acceptable lump sum payment be?

A rich relative has bequeathed you a growing perpetuity. The first payment will occur in a year and will be $3000 . Each year after that, you will receive a payment on the anniversary of the last payment that is 7% larger than the last payment. This pattern of payments will go on forever. Assume that the interest rate is 9% per year. a. What is today's value of the bequest? b. What is the value of the bequest immediately after the first payment is made?

You won $100 000. 00 in a lottery and you want to set some of that sum aside for10 years. After 10 years, you would like to receive $2400.00 at the end of every3 months for 8 years. How much of your winnings must you set aside if interestis 5.5% compounded quarterly?

You just won a special lottery which will entitle you to an annual payment $45000 for 10 years, but the first payment won't start until 5 years later (i.e. 1st payment at the end of the 5th year). If you plan to immediately deposit every payment into an annuity product that gives you 5.62% APR with annual compounding, how much is your account balance at the end of the lottery payment plan (i.e. when you receive the last payment)?