please show step by step. answer has to be 2.43. no excel function either James bought a four-year annuity with level payments of $200 at an annual yield rate of 6%. Calculate this annuity's Macaulay duration. a. 1.77 b. 2.29 d. 3.75 e. 4.02 2.43
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- 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?(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%?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
- You put $600 in the bank for 3 years at 15%. A. If Interest Is added at the end of the year, how much will you have in the bank after one year? Calculate the amount you will have in the bank at the end of year two and continue to calculate all the way to the end of the third year. B. Use the future value of $1 table In Appendix B and verify that your answer is correct.You put $250 in the bank for S years at 12%. A. If interest is added at the end of the year, how much will you have in the bank after one year? Calculate the amount you will have in the bank at the end of year two and continue to calculate all the way to the end of the fifth year. B. Use the future value of $1 table in Appendix B and verity that your answer is correct.Give typing answer with explanation and conclusion to all parts If $387674 is used to purchase an annuity earning 5.5% compounded monthly and paying $3102 at the end of each month, what will be the term of the annuity? Include the final, smaller annuity payment in the total. (Just state total months as a number, not years and months) What is N? What is I/Y? What is C/Y? What is P/Y? What is PV? What is PMT? What is FV?
- Suppose you invest in an annuity that pays 6% interest, compounded annually. You contribute $4,500 each year for 10 years, what is the value of the annuity at the end of 10 years? Enter your answer rounded to the nearest hundred dollars. Omit the dollar sign and comma ($42,570.21 should be entered as 42600.)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%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.]
- What is the present value of an annuity of $7,100 per year, with the first cash flow received three years from today and the last one received 25 years from today? Use a discount rate of 7 percent. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)What is the present value of a 3 year, $3,000 per year annuity at 3 percent? Select one: a. $8,590 b. $9,390 c. $8486 d. $9,347 e. None of the abovesuppose that $2700 is set aside each year and invested in a savings account that pays 8% interest per year, componded continously, part a: determined the accumuluated savings in this account at teh end of 25 yrs. part b: in part a,suppose that an annuity will be withdrawn from savings that have been accumulated at the EOY 25. The annuity will extend from teh EOY 26 to EOY 33, what is the value of this annuity if teh interest rate and componding frquency in part a do not change