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 $10,000. You will continue receiving monetary awards annually with each award increasing by 5 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?

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 $10,000. You will continue receiving monetary awards annually with each award increasing by 5 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?

Principles of Accounting Volume 2

19th Edition

ISBN:9781947172609

Author:OpenStax

Publisher:OpenStax

Chapter11: Capital Budgeting Decisions

Section: Chapter Questions

Problem 6MC: You want to invest $8,000 at an annual Interest rate of 8% that compounds annually for 12 years....

See similar textbooks

Similar questions

(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 $25,000. You will continue receiving monetary awards annually with each award increasing by 6 percent over the previous award, and these monetary awards will continue forever. If the appropriate interest rate is 11 percent, what is the present value of this award? The present value of the award is $ www (Round to the nearest cent.)
(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 $10,000. You will continue receiving monetary awards annually with each award increasing by 6 percent over the previous award, and these monetary awards will continue forever. If the appropriate interest rate is 11 percent, what is the present value of this award? The present value of the award is $ (Round to the nearest cent.)
You have the opportunity to invest in several annuities. Which of the following 10-year annuities has the greatest present value (PV)? Assume that all annuities earn the same positive interest rate. An annuity that pays $1,000 at the end of each year An annuity that pays $500 at the end of every six months An annuity that pays $1,000 at the beginning of each year An annuity that pays $500 at the beginning of every six months
● An investment will provide you with $100 at the end of each year for the next 10 years. What is the present value of that annuity if the discount rate is 8% annually? • What is the present value of the above if the payments are received at the beginning of each year? • If you deposit those payments into an account earning 8%, what will the future value be in 10 years? • What will the future value be if you open the account with $1,000 today, and then make the $100 deposits at the end of each year?
Aetna is offering customers who invest $10,000 with them today a payment of $1,500 every 1.5 years in perpetuity. If the first payment will be made 1.5 years from today, what is the effective annual rate (EAR) of this investment opportunity?
Jami Minard wants to receive an annuity of $5,000 at the beginning of each year for the next 10 years. How much (in $) should be deposited now at 5% compounded annually to accomplish this goal?
Say that you want to establish a scholarship fund that will make fixed payments forever. To fund the scholarship, you plan to make 12 annual contributions of $9.9k to an investment account with an expected return of 6.0% interest annually. Your first contribution occurs today. If the scholarship fund makes its first payment two years following the last contribution, then what is the fixed annual payment that the scholarship fund will award? (Round to the nearest dollar)
Jami Minard wants to receive an annuity of $5,000 at the beginning of each year for the next 10 years. How much (in $) should be deposited now at 7% compounded annually to accomplish this goal? (Round your answer to the nearest cent.)
Your friend offers to pay you an annuity of $2,500 at the end of each year for 10 years in return for cash today. You could earn 5.5% on your money in other investments with equal risk. What is the most you should pay for the annuity? Please show your work in excel
You have just won a lottery that promises an annual payment of $120000 beginning immediately. You will receive a total of 15 payments. If you can invest the cash flow in an investment that is paying 8% annually, what is the present value of this annuity?
A friend who owns a perpetuity that promises to pay $1,000 at the end of each year, forever, comes to you and offers to sell you all of the payments to be received after the 25th year for a price of $1,001. At an interest rate of 10%, should you pay the $1,000 today to receive payment numbers 26 and onwards? What does this suggest to you about the value of perpetual payments?
You would like to have enough money saved to receive a $90,000 per year perpetuity after retirement. The annual interest rate is 8 percent. Required: How much would you need to have saved in your retirement fund to achieve this goal? a) Assume that the perpetuity payments start on the day of your retirement. b) Assume that the perpetuity payments start one year from the date of your retirement.