A 4-year decreasing annuity has 1st payment of $1000, and each subsequent payment is $200 lower than the previous payment (paid at the end of each year). Apply the 1st order modified approximation to estimate the annuity price when the annual effective interest rate decreases from 2.5% to 2% (keep 2 decimal places in your answer).
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- (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%?If Bergen Air Systems takes out a $100,000 loan, with eight equal principal payments due over the next eight years, how much will be accounted for as a current portion of a noncurrent note payable each year?You want to invest $8,000 at an annual Interest rate of 8% that compounds annually for 12 years. Which table will help you determine the value of your account at the end of 12 years? A. future value of one dollar ($1) B. present value of one dollar ($1) C. future value of an ordinary annuity D. present value of an ordinary annuity
- Value of an Annuity Using the appropriate tables, solve each of the following. Required: 1. Beginning December 31, 2020, 5 equal withdrawals are to be made. Determine the equal annual withdrawals if 30,000 is invested at 10% interest compounded annually on December 31, 2019. 2. Ten payments of 3,000 are due at annual intervals beginning June 30, 2020. What amount will be accepted in cancellation of this series of payments on June 30, 2019, assuming a discount rate of 14% compounded annually? 3. Ten payments of 2,000 are due at annual intervals beginning December 31, 2019. What amount will be accepted in cancellation of this series of payments on January 1, 2019, assuming a discount rate of 12% compounded annually?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?A 10-year annuity pays $1,725 per month, and payments are made at the end of each month. The interest rate is 9 percent compounded monthly for the first four years, and 7 percent compounded monthly thereafter. What is present value of the annuity today? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
- A 20-year annuity pays $1,950 per month, and payments are made at the end of each month. If the interest rate is 11 percent compounded monthly for the first ten years, and 7 percent compounded monthly thereafter, what is the present value of the annuity? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)Present value $A certain annuity pays 80.00 at the end of every 3 months. If the present value of the annuity is 1,200.00 and the accumulated amount is 2,000.00, determine the nominal rate? please do not use excel to solve. show the formulas. hint in the book: answer is between 10% to 12%Annuity payments are assumed to come at the end of each payment period (termed an ordinary annuity). However, an exception occurs when the annuity payments come at the beginning of each period (termed an annuity due). What is the future value of a 15-year annuity of $1,600 per period where payments come at the beginning of each period? The interest rate is 9 percent. Use Appendix C for an approximate answer, but calculate your final answer using the formula and financial calculator methods. To find the future value of an annuity due when using the Appendix tables, add 1 to n and subtract 1 from the tabular value. For example, to find the future value of a $100 payment
- What is the accumulated value after five years of payments of $20000 made at the beginning of each year if interest is 7% compounded quarterly? Please, note that I think this is a question of Annuities, and I believe time would be 20 (5 years compounded quarterly -> 4x a year) Isn't this a General Annuity Due question, where payments are made at the beginning of the payment intervals, and the payment and compounding frequencies are unequal.If 5 deposits of $600 each are made into an account at the end of years 9, 10, 11, 12, and 13, what will be the balance in the account at the end of year 25, if the account offers a stated annual rate of interest r = 12 percent compounded annually? [Optional: Try using each of the four annuity formulas to solve this problem and then verify the result using repeated lump sum calculations.]