You have
a. A
b. A two-year CD at a bank offering an interest rate of
c. A
What role does you
Want to see the full answer?
Check out a sample textbook solutionChapter 12 Solutions
Essentials Of Investments
- The amount of money originally put into an investment is known as the present value P of the investment. For example, if you buy a $50 U.S. Savings Bond that matures in 10 years, the present value of the investment is the amount of money you have to pay for the bond today. The value of the investment at some future time is known as the future value F. Thus, if you buy the savings bond mentioned above, its future value is $50. If the investment pays an interest rate of r (as a decimal) compounded yearly, and if we know the future value F for t years in the future, then the present value P = P(F, r, t), the amount we have to pay today, can be calculated using the formula below. P = F × 1 (1 + r)t We measure F and P in dollars. The term 1/(1 + r)t is known as the present value factor, or the discount rate, so the formula above can also be written as the following. P = F × discount rate (a) Explain what information the function P(F, r, t) gives you. The function…arrow_forwardYou are considering investing in a savings bond that will pay $50,000 in 6 years. If the competitive market rate is fixed at 6% per year, what is the bond worth today?arrow_forwardYou have RM 5,000.00 you want to invest for the next 45 years until retirement. You are offered an investment plan that will pay you 6 percent per year for the next 15 years and 10 percent per year for the last 30 years.a) Explain the time value of money principleb) Identify the underlying assumption of the time value of money principlec) Draw a graph that illustrates the relationship between interest rates and the present value of RM 1,000.00 to be received in one year.d) Suggest how you can minimize the amount of cash you must invest in order to reach your retirement goal.e) Compute the amount you will have at the end of the 45 years.f) Calculate the amount you would have if the investment plan pays 10 percent for the first 15 years and 6 percent per year for the next 30 years.arrow_forward
- Suppose that you buy a TIPS (inflation-indexed) bond with a 1-year maturity and a coupon of 2% paid annually. Assume you buy the bond at its face value of $1,000, and the inflation rate is 10%. a. What will be your cash flow at the end of the year? (Do not round intermediate calculations. Round your answer to 2 decimal places.) b. What will be your real return? c. What will be your nominal return? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)arrow_forwardOver the next three years, the expected path of 1-year interest rates 4, 1, and 1 percent. Today if you buy $1 of one-year bond and when it matures you use the money you receive to buy another one-year bond. then your expected rate of return for this $1 investment is ____% (round to the nearest integer). If the expectations theory of the term structure is true, then it implies that the current interest rat ein 2-year bond must be ____% (round to one decimal place x.x)arrow_forwardSuppose your friend is debating purchasing a bond that has a $1,000 par value, 13 years to maturity, and a 7% annual coupon. Your friend would like to determine the yield to maturity if the bond sells for a price of $980. In order to use your financial calculator to solve for the rate of return on this bond, you need to know the following information: PV: the bond's value or price N: the number of years before the bond matures PMT: the dollars of interest paid each year, which equals the coupon rate times the par value of the bond FV: par, or maturity, value of the bond Complete the following table by selecting the appropriate values for N, PV and PMT. Then use your financial calculator to solve for the rate of return, and complete the final row of the table. Input $1,000 Keystroke I/Y PV PMT FV Output Suppose your friend wants to know what price the bond will be in three years assuming the yield to maturity remains constant. To calculate what the bond price will be three years from…arrow_forward
- You are considering investing $10,000 in either U.S. Treasury bills or bank certificates-of-deposits (CDs). Suppose 6-month U.S. Treasury bills and 6-month bank CDs are both yielding 4.50% annually. Both investments are considered "default- risk free." Which investment shouldyou probably select. Briefly explainarrow_forwardYou manage a pension fund that will provide retired workers with lifetime annuities. You determine that the payouts of the fund are going to closely resemble level perpetuities of $2.0 million per year. The interest rate is 10%. You plan to fully fund the obligation using 5-year and 20-year maturity zero-coupon bonds. Required: a. How much market value of each of the zeros will be necessary to fund the plan if you desire an immunized position? (Do not round intermediate calculations. Enter your answers in millions. Round your answers to 1 decimal place.) Five-year Twenty-year Market Value Five-year Twenty-year million million b. What must be the face value of each of the two zeros to fund the plan? (Do not round intermediate calculations. Enter your answers in millions rounded to 2 decimal places.) Face Value million millionarrow_forwardYou manage a pension fund that will provide retired workers with lifetime annuities. You determine that the payouts of the fund are going to closely resemble level perpetuities of $2.3 million per year. The interest rate is 10%. You plan to fully fund the obligation using 5-year and 20-year maturity zero-coupon bonds. Required: a. How much market value of each of the zeros will be necessary to fund the plan if you desire an immunized position?. Five-year Twenty-year Market Value Five-year Twenty-year million million b. What must be the face value of each of the two zeros to fund the plan? Face Value million millionarrow_forward
- You manage a pension fund that will provide retired workers with lifetime annuities. You determine that the payouts of the fund are going to closely resemble level perpetuities of $2.3 million per year. The interest rate is 10%. You plan to fully fund the obligation using 5-year and 20-year maturity zero-coupon bonds. Required: a. How much market value of each of the zeros will be necessary to fund the plan if you desire an immunized position? (Do not round intermediate calculations. Enter your answers in millions. Round your answers to 1 decimal place.) Five-year Twenty-year Market Value million million b. What must be the face value of each of the two zeros to fund the plan? (Do not round intermediate calculations. Enter your answers in millions rounded to 2 decimal places.) Five-year Twenty-year Face Value million millionarrow_forwardAn investor considers to invest 100 000 TL for the next year. This investor has 3 options. The first option is to buy a government bond that sells 100 TL. The par value of this government bond is also 100 TL and the remaining maturity is 1 year. This government bonds %20 annual coupon interest. The second option is to buy a commercial paper which sells 2200 TL discount. The par value is 10 000 TL and the maturity is 1 year. The other alternative is to invest in a common stock for a year. The current market price of the common stock is 6 TL per share and 1 year target price estimation of the market analysts is 8.2 TL on average for this share. Which option or options would you invest in and why? Show your answer mathematically.arrow_forwardYou manage a pension fund that will provide retired workers with lifetime annuities. You determine that the payouts of the fund are going to closely resemble level perpetuities of $2.1 million per year. The interest rate is 10%. You plan to fully fund the obligation using 5-year and 20-year maturity zero-coupon bonds.Required: a. How much market value of each of the zeros will be necessary to fund the plan if you desire an immunized position? (Do not round intermediate calculations. Enter your answers in millions. Round your answers to 1 decimal place.) Market Value Five year: Twenty year: b. What must be the face value of each of the two zeros to fund the plan? (Do not round intermediate calculations. Enter your answers in millions rounded to 2 decimal places.) Face Value Five year: Twenty year:arrow_forward
- Essentials Of InvestmentsFinanceISBN:9781260013924Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.Publisher:Mcgraw-hill Education,
- Foundations Of FinanceFinanceISBN:9780134897264Author:KEOWN, Arthur J., Martin, John D., PETTY, J. WilliamPublisher:Pearson,Fundamentals of Financial Management (MindTap Cou...FinanceISBN:9781337395250Author:Eugene F. Brigham, Joel F. HoustonPublisher:Cengage LearningCorporate Finance (The Mcgraw-hill/Irwin Series i...FinanceISBN:9780077861759Author:Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan ProfessorPublisher:McGraw-Hill Education