Suppose you just bought an annuity with 11 annual payments of $16,400 at a discount rate of 13.5 percent per year. What is the value of the investment at the current interest rate of 13.5 percent? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. What happens to the value of your investment if interest rates suddenly drop to 8.5 percent? Note: Do not round intermediate calculations and round
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- Suppose you just bought an annuity with 12 annual payments of $15,700 at a discount rate of 11.75 percent per year. a. What is the value of the investment at the current interest rate of 11.75 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 6.75 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 16.75 percent? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. a. Present value at 11.75 percent b. Present value at 6.75 percent $ 124,187.88 153,795.59 c. Present value at 16.75 percent $ 97,472.81Suppose you bought a 25-year annuity of $7,900 per year at the current discount rate of 12 percent per year. a. What is the value of your annuity today? (Do not round intermediate calculations and round your answer to 2 decimal places b. What is the present value if interest rates suddenly drop to 7 percent? c. What is the present value if interest rate suddenly rise to 17 percent?Suppose you are going to receive $14,500 per year for five years. The appropriate interest rate is 8 percent. a-1. What is the present value of the payments if they are in the form of an ordinary annuity? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. a-2. What is the present value of the payments if the payments are an annuity due? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b-1. Suppose you plan to invest the payments for five years. What is the future value if the payments are an ordinary annuity? Note: Do not round intermediate..
- Suppose you are going to receive $17,500 per year for five years. The appropriate interest rate is 10 percent. a-1. What is the present value of the payments if they are in the form of an ordinary annuity? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) a-2. What is the present value of the payments if the payments are an annuity due? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b-1. Suppose you plan to invest the payments for five years. What is the future value if the payments are an ordinary annuity? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b-2. What is the future value if the payments are an annuity due? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c-1. Which has the higher present value, the ordinary annuity or annuity due? c-2. Which has the higher future value? a-1. Present…Which of the following statements is most correct? Group of answer choices The value of a perpetuity (say for $100 per year) will approach infinity as the interest rate used to evaluate the perpetuity approaches zero. If you are lending money, then, based on effective interest rates, you should prefer to lend at a 10 percent simple, or quoted, rate but with semiannual payments, rather than at a 10.1 percent simple rate with annual payments. However, as a borrower you should prefer the annual payment loan. The first payment under a 3-year, annual payment, amortized loan for $1,000 will include a smaller percentage (or fraction) of interest if the interest rate is 5 percent than if it is 10 percent. All of these.Your financial planner offers you two different investment plans. Plan X is an annual perpetuity of $12,000 per year. Plan Y is an annuity for 11 years and an annual payment of $20,000. Both plans will make their first payment one year from today. At what discount rate would you be indifferent between these two plans? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16) Break-even rate: % please show excel formulas and answer breakdown
- Suppose you are going to receive $12,700 per year for six years. The appropriate interest rate is 7.6 percent. a-1. What is the present value of the payments if they are in the form of an ordinary annuity? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) a-2.What is the present value if the payments are an annuity due? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b-1. Suppose you plan to invest the payments for six years. What is the future value if the payments are an ordinary annuity? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b-2. Suppose you plan to invest the payments for six years. What is the future value if the payments are an annuity due? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)Suppose you are going to receive $13,300 per year for five years. The appropriate discount rate is 8.2 percent. a-1. What is the present value of the payments if they are in the form of an ordinary annuity? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) a-2. What is the present value if the payments are an annuity due? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16. b-1. Suppose you plan to invest the payments for five years. What is the future value if the payments are an ordinary annuity? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b-2. Suppose you plan to invest the payments for five years. What is the future value if the payments are an annuity due? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 16.) a-1. Present value a-2. Present value b-1. Future value b-2. Future value < Prev 8 of 10 Next(1) What is the value at the end of Year 3 of the following cash flow stream if the quoted interest rate is 10%, compounded semiannually? (2) What is the PV of the same stream? (3) Is the stream an annuity? (4) An important rule is that you should never show a nominal rate on a time line or use it in calculations unless what condition holds? (Hint: Think of annual compounding, when INOM = EFF% = IPER.) What would be wrong with your answers to parts (1) and (2) if you used the nominal rate of 10% rather than the periodic rate, INOM/2 = 10%/2 = 5%?
- 1. What is the different between an ordinary annuity and an annuity due? Which occursmore in practice? Give a common example of both. 2. Using the example of a savings account, explain the difference between the effectiveannual rate and the annual percentage rate. 3. A mortgage instrument pays $1.5 million at the end of each of the next two years. Aninvestor has an alternative investment with the same amount of risk that will payinterest at 8% compounded semiannually. what the investor should pay for themortgage instrument?Suppose that you want to avoid paying interest and decide you'll only buy the furniture when you have the money to pay for it. An annuity is basically the opposite of a fixed-installment loan: you deposit a fixed amount each month and receive interest based on the total amount that's been saved. The future value formula is: A = 12M 1+ 12 7 12t - 1 where M is the regular monthly payment, r is the annual interest rate in decimal form, and t is the term of the annuity in years. With a monthly payment of $110, what would the future value be if you chose an annuity with a term of two years at 4.5% interest? Round you answer to the nearest cent. The future value would be $. X SYou invest $1,400 today and expect to sell your investment for $3,200 in 10 years. a-1. Calculate the present value of the future payoff, if the interest rate is 8%. (Do not round intermediate calculations. Round your answer to 2 decimal places.) a-2. Is this a good deal? b-1. Calculate the present value, if the interest rate is 11%. (Do not round intermediate calculations. Round your answer to 2 decimal places.) b-2. Is this a good deal?