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- Define the stated (quoted) or nominal rate INOM as well as the periodic rate IPER. Will the future value be larger or smaller if we compound an initial amount more often than annually—for example, every 6 months, or semiannually—holding the stated interest rate constant? Why? What is the future value of $100 after 5 years under 12% annual compounding? Semiannual compounding? Quarterly compounding? Monthly compounding? Daily compounding? What is the effective annual rate (EAR or EFF%)? What is the EFF% for a nominal rate of 12%, compounded semiannually? Compounded quarterly? Compounded monthly? Compounded daily?You are considering the choice between investing £50,000 in a conventional 1-year financial asset such as (Certificate of Deposit) offering an interest rate of 5% and a 1-year “InflationPlus” offering 1.5% per year plus the rate of inflation. (a) Which is the safer investment and why? Which offers the higher expected return and why? If you expect the rate of inflation to be 3% over the next year, which is the better investment? Explain. If we observe a risk-free real rate of 5% per year and a risk-free real rate of 1.5% on inflation indexed bonds, can we infer that the market’s expected rate of inflation is 3.5% per year?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
- What is the present value of CD with 4% annual interest that matures in 1 year with a value of $3000? If you had $3,000 right now, with the same rates for the same amount of time, can you calculate its future value? What factor would determine which value you chose to use?An interest rate is 12% APR when measured using semiannual compounding. What is the equivalent rate when measured using continuous compounding? How much will $100 grow to in 3 years if it's invested at 12% APR with semiannual compounding? Is that more, less, or the same as it will grow to over the same period using the continuously compounding equivalent rate? Group of answer choices 11.33%; $140.49; same 11.33%; 140.49; less 11.65%; $141.85; same 11.65%; 141.85; lessSuppose the interest rate is 3.6% b. Having $650 in one year is equivalent to having what amount today? c. Which would you prefer, $650 today or $650 in one year? Does your answer depend on when you need the money? Why or why not? **round to the nearest cent**
- which of the following statements are true? 1. there is an inverse relationship between interest rates and future vales 2. the effective annual interest rate (EAR) will be higher than the annual percentage rate (APR) for a loan that compounds interest annually 3. there is an inverse relationship between present value and interest rates 4. all else equal, the more frequent interest in compounded on a loan, the more interest you will have to pay.According to the concepts underlying the present-value formula, would you prefer to receive (a) P75 one year from now, (b) P85 two years from now, or (c) P90 three years from now, if the relevant market interest rate is 10% and will remain at 10% for the next three years? a. The present values of all three choices are identical b. P75 one year from now c. P85 two years from now d. P90 three years from nowNot too long ago, interest rates were essentially zero. If interest rates fall to 1/100th of a basis point (r = 0.000001), which of the following is true (if we round to the nearest dollar)? Select all that are true. A) the present value of the annuity will equal the sum of the annuity cash flows B) the future value of the annuity will equal the sum of the annuity cash flows C) the present value of the annuity will equal the future value of the annuity D) annuity values cannot be solved at a rate of 0.0001%
- 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.You are considering two equally risky annuities, each of which pays $5,000 per year for 10 years. Investment ORD is an ordinary (or deferred) annuity, while Investment DUE is an annuity due. Which of the following statements is CORRECT? a. The present value of ORD exceeds the present value of DUE, and the future value of ORD also exceeds the future value of DUE. b. The present value of ORD must exceed the present value of DUE, but the future value of ORD may be less than the future value of DUE. c. The present value of DUE exceeds the present value of ORD, and the future value of DUE also exceeds the future value of ORD. d. The present value of DUE exceeds the present value of ORD, while the future value of DUE is less than the future value of ORD. e. If the going rate of interest decreases from 10% to 0%, the difference between the present value of ORD and the present value of DUE would remain constant.The formula below tells us how to obtain the maturity value on a simple discount loan if we are given the proceeds, the discount rate, and the term. If a loan's annual simple discount rate is 7.56%, how many years would it take for the debt to double? (This is called the doubling time of a loan). Round your answer to the nearest tenth of a year. Hint: divide both sides of the equation by P. If M is twice as much as P, what should the fraction on the left-hand side equal?