Question 2You are considering investing in two different investment options. The first option offers noreturn for the first three years, but afterward it offers to pay you $20,000 per year for four years.The second option offers to pay you $20,000 per year for three years and $30,000 in the fourthyear. All payments are made at year-end. If a discount rate of 8% per annum is assumed,determine by using the present value the option that offers you a higher return.

The objective of this question is to determine which of the two investment options offers a higher…

Answered: Question 2 You are considering…

FINANCIAL ACCOUNTING

10th Edition

ISBN:9781259964947

Author:Libby

Publisher:Libby

Chapter1: Financial Statements And Business Decisions

Section: Chapter Questions

Problem 1Q

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Suppose you just bought an annuity with 10 annual payments of $16,500 at a discount rate of 13.75 percent per year. a. What is the value of the investment at the current interest rate of 13.75 percent? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. b. What happens to the value of your investment if interest rates suddenly drop to 8.75 percent? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. c. What happens to the value of your investment if interest rates suddenly rise to 18.75 percent? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.
Problem 1: You can choose between two different investments: (A) an annuity that pays $10,000 each year for the next 6 years; (B) a perpetuity that pays $10,000 forever, starting 11 years from now. 1. Which investment do you choose, A or B, if the interest rate is 5%? What if it is 10%? Explain in words the reason behind your choices.
Suppose the term structure of risk-free interest rates is as shown here: a. Calculate the present value of an investment that pays $1,000 in 2 years and $4,000 in 5 years for certain. b. Calculate the present value of receiving $900 per year, with certainty, at the end of the next 5 years. To find the rates for the missing years in the table, linearly interpolate between the years for which you do know the rates. (For example, the rate in year 4 would be the average rate in year 3 and year 5.) c. Calculate the present value of receiving $2,700 per year, with certainty, for the next 20 years. Infer rates for the missing years using linear interpolation. (Hint: Use a spreadsheet.) Data table (Click on the following icon in order to copy its contents into a spreadsheet.) 2 years 3 years 5 years 7 years 1 year 2.06 2.44 2.64 3.22 3.74 Term Rate (EAR, %) Print Done 10 years 4.25 20 years 5.09 I X t cent.)
Assume that you can invest to earn a stated annual rate of return of 12 percent, but where interest is compounded semiannually. If you make 20 consecutive semiannual deposits of $500 each, with the first deposit being made today, what will your balance be at the end of Year 20? Group of answer choices $52,821.19 $57,900.83 $58,988.19 $62,527.47 $64,131.50
2. Effective Annual Yield (EAY) and Effective Annual Rate (EAR) A. You plan to invest $10,000 for one year and you have the opportunity to invest it at a 12 percent APR, compounded monthly. Alternatively, you could invest the funds at an annual rate of 12.25 percent compounded semiannually. What is the EAY of each alternative? Which investment should be chosen? B. A car loan offered by Bank One requires quarterly payments and has an APR of 5.8 percent, whereas the same loan amount may be obtained from Bank Two at an APR of 6 percent with monthly payments. Which loan would you ch0oose and why?
You have an opportunity to make an investment that will pay $ 300 at the end of the first year, $ 100 at the end of the second year, $ 200 at the end of the third year, $ 400 at the end of the fourth year, and $500 at the end of the fifth year. a. Find the present value if the interest rate is 9 percent. (Hint: You can simply bring each cash flow back to the present and then add them up. Another way to work this problem is to either use the =NPV function in Excel or to use your CF key on a financial calculator —but you'll want to check your calculator's manual before you use this key. Keep in mind that with the =NPV function in Excel, there is no initial outlay. That is, all this function does is bring all the future cash flows back to the present. With a financial calculator, you should keep in mind that CF0 is the initial outlay or cash flow at time 0, and, because there is no cash flow at time 0, CF0 =0.) b. What would happen to the…
10. Finding the interest rate and the number of years The future value and present value equations also help in finding the interest rate and the number of years that correspond to present and future value calculations. If a security of $4,000 will be worth $5,324.00 three years in the future, assuming that no additional deposits or withdrawals are made, what is the implied interest rate the investor will earn on the security? ○ 6.00% ○ 7.50% ○ 10.00% ○ 12.00% If an investment of $35,000 is earning an interest rate of 11.00% compounded annually, it will take value of $58,977.04-assuming that no additional deposits or withdrawals are made during this time. for this investment to grow to a Which of the following statements is true, assuming that no additional deposits or withdrawals are made? If you invest $1 today at 15% annual compound interest for 82.3753 years, you'll end up with approximately $100,000. ○ If you invest $5 today at 15% annual compound interest for 82.3753 years,…
Provided are links to the present and future value tables: (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided. Round your answer to the nearest whole dollar.) a. How much would you have to deposit today if you wanted to have $55,000 in three years? Annual interest rate is 10%. b. Assume that you are saving up for a trip around the world when you graduate in three years. If you can earn 6% on your investments, how much would you have to deposit today to have $15,000 when you graduate? (Round your answer to 2 decimal places.) c-1. Calculate the future value of an investment of $666 for ten years earning an interest of 9%. (Round your answer to 2 decimal places.) c-2. Would you rather have $666 now or $1,800 ten years from now? d. Assume that a college parking sticker today costs $80. If the cost of parking is increasing at the rate of 6% per year, how much will the college parking sticker cost in seven years? (Round your answer to 2 decimal…
You plan to deposit $100 at the end of every quarter (3 months) for 10 years starting at the end of month 1. Then after leaving the money in the account for several years, you plan to withdraw everything 20 years from today. How much is available to withdraw at the end of year 20 if the account pays a nominal annual rate of 6% compounded monthly? Question 4 Part A: Choose the correct Cash Flow Diagram for this scenario from the following choices. Option A Option B F=? F=? 120 1 120 240 240 i = 0.5% i= 6% A = 100 A = 100 Option C Option D F=? F=? 10 10 20 20 i= 0.5% i = 6% A = 100 A = 100 Question 4 Part B: Identify the correct Function Notation for this scenario. F = 100(P/A,0.5%,10)(P/F, 0.5%, 10) O F = 100(F/A,6%,120)(P/F, 6%, 120) O F = 100(F/A,0.5%,120)(F/P, 0.5%, 120) F = 100(F/A,6%,10)(F/P, 6%, 10) Question 4 Part C: Provide the final value for withdrawal at the end of year 20. Enter your answer in the form: 12345.67 Question 4 Part D: Choose the statement that is most correct…
Assuming a discount rate of 6%, what is the future value of 100,000 per year for 12 years if the payments occur at the beginning of each period? Question 6 options: $1,619,514 $1,588,474 $1,686,994 $1,805,084 $1,788,214
Calculate the compounding factor you would use to find the future value of an amount of money you will receive 20 years in the future, assuming a 6% interest rate. Question 14 options: 3.207 3.042 2.498 2.662
Present Value of Amounts Due Assume that you are going to receive $730,000 in 10 years. The current market rate of interest is 4.5%. a. Using the present value of $1 table in Exhibit 5, determine the present value of this amount compounded annually. Round to the nearest whole dollar. b. Why is the present value less than the $730,000 to be received in the future? The present value is less due to the compounding of interest V over the 10 years.

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