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- Which of the following statements is CORRECT? Question 2 options: a) The proportion of the payment that goes toward interest on a fully amortized loan increases over time. b) An investment that has a nomiral rate of 6% with semiannual payments will have an effective rate that is smaller than 6%. c) If a loan or investment has annual payments, then the effective, periodic, and nominal rates of interest will all be different. d) The present value of a 3-year, $150 ordinary annuity will exceed the present value of a 3-year, $150 annuity due. e) if a loan has a nominal annual rate of 7%, then the effective rate will never be less than 7%.Please answer this question: What is the value at the end of Year 3 of the following cash flow stream if interest is 4% compounded semiannually? (Hint: you can use the EAR and treat the cash flows as an ordinary annuity or use the periodic rate and compound the cash flows individually.) What is the PV? What would be wrong with your answer to parts I(1) and I(2) if you used the nominal rate, 4%, rather than the EAR or the periodic rate, I sow /2=4%/2=2%, to solve the problems?What do we know about a loan, which is said to have annuity payments? a. This loan has annual cashflows only. b. This loan has only interest payments before maturity. c. This loan should be a mortgage loan. d. This loan has equal payment cashflows in all periods along its maturity.
- 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?Which of the following statement is true? a) An ordinary annuity is an annuity in which the cash flow occurs at the start of each period b) None of the above c) A deferred annuity is an annuity in which the first cash flow occurs at the end of the time period between each subsequent cash flow d) with a credit foncier loan ( a loan for a fixed period with regular repayments) as time passes a smaller proportion of each repayment goes to paying off the interest on the loan1. Which statement is FALSE? A. Future value annuity is an example of annuity. B. A perpetuity is an annuity that has maturity period. C. An annuity is a series of equal payment made for a specified number of years. D. Ordinary annuity is an annuity in which the cash flows occur at the end of each period.
- 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 $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..Which of the following statements is CORRECT? An investment that has a nominal rate of 6% with semiannual payments will have an effective rate that is smaller than 6%. If a loan has a nominal annual rate of 8%, then the effective rate can never be greater than 8%. If a loan or investment has annual payments, then the effective, periodic, and nominal rates of interest will all be different. The present value of a 3-year, $150 annuity due will exceed the present value of a 3-year, $150 ordinary annuity.
- Which of the following statements is CORRECT? 1. If some cash flows occur at the beginning of the periods while others occur at the ends, then we have what the textbook defines as a variable annuity. 2. The cash flows for an annuity must all be equal, and they must occur at regular intervals, such as once a year or once a month. 3. If a series of unequal cash flows occurs at regular intervals, such as once a year, then the series is by definition an annuity. 4. The cash flows for an annuity due must all occur at the ends of the periods. 5. The cash flows for an ordinary (or deferred) annuity all occur at the beginning of the periods.An annuity that goes on indefinitely is called a perpetuity. The payments of a perpetuity constitute a/an -Select-finiteinfiniteCorrect 1 of Item 1 series. The equation is: A -Select-preferredcommonCorrect 2 of Item 1 stock with no maturity is an example of a perpetuity. Quantitative Problem: You own a security that provides an annual dividend of $160 forever. The security’s annual return is 7%. What is the present value of this security? Round your answer to the nearest cent.$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