a) Let's say you invest $10,000 into each account. What is the final amount after 10 years? b) How much interest did you earn from each account? c) Estimate and compare how long it would take to double your $10,000 with each account. Show all your work.
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- To figure out how much total interest that you earn when you reach your investment goal, you ____________. Select one: a. interest rate % * total payments - amount borrowed b. interest rate % * amount borrowed c. # payments * monthly payment - interest rate % * amount borrowed d. # of payments * monthly payment- amount borrowedFuture value of an annuity Using the values below, answer the questions that follow. (Click on the icon here 9 in order to copy the contents of the data table below into a spreadsheet.) Amount of annuity Interest rate Deposit period (years) $6,000 8% 10 a. Calculate the future value of the annuity, assuming that it is (1) An ordinary annuity. (2) An annuity due. b. Compare your findings in parts a(1) and a(2). All else being identical, which type of annuity-ordinary or annuity due-is preferable as an investment? Explain why. ..... a. (1) The future value of the ordinary annuity is $ (Round to the nearest cent.) (2) The future value of the annuity due is $ (Round to the nearest cent.) b. Compare your findings in parts a(1) and a(2). All else being identical, which type of annuity is preferable as an investment? (Select the best answer below.) Ordinary annuity, because it yields a greater future value. Annuity due, because it yields a greater future value.Savings Plans, Part 1: Frequency of Deposits for Annuities For this problem, you will be looking at the difference that the frequency of deposits and compounding makes on annuities. For all answers given as values of money, round down to the cent. For answers in percents, round to the tenth of a percent. 1. Make a table that shows how much money each person has in their annuity after 1 year, 5 years, 10 years, and 25 years. Calculate how much money each person has invested after 25 years, and how much interest they have earned after 25 years. Then express the interest earned after 25 years as a percent of the amount invested. a. Avery invests $3120 per year in an annuity with a 3.9% APR, compounded annually. b. Britt invests $780 per quarter in an annuity with a 3.9% APR, compounded quarterly. c. Casey invests $260 per month in an annuity that earns 3.9% APR, compounded monthly. d. Devyn invests $60 per week in an annuity that earns 3.9% APR, compounded weekly. (Use 52 weeks…
- If you had deposited $1 in a bank account at an annual rate of 3.5% at the beginning of 1905, how much would you have in the account at the end of 2019, assuming the interest rate remained constant? Group of answer choices $28.57 $52.26 $1,464.47 $119.03Question Content Area Use the present value and future value tables to answer the following questions. A. If you would like to accumulate $2,500 over the next 3 years when the interest rate is 15%, how much do you need to deposit in the account? $fill in the blank 1 B. If you place $6,300 in a savings account, how much will you have at the end of 8 years with a 12% interest rate? $fill in the blank 2 C. You invest $9,000 per year for 9 years at 12% interest, how much will you have at the end of 9 years? $fill in the blank 3 D. You win the lottery and can either receive $740,000 as a lump sum or $60,000 per year for 19 years. Assuming you can earn 8% interest, which do you recommend and why? Please round off answersUse the tables in Appendix B to answer the following questions. A. If you would like to accumulate $2,500 over the next 4 years when the interest rate is 15%, how much do you need to deposit in the account? B. If you place $6,200 in a savings account, how much will you have at the end of 7 years with a 12% interest rate? C. You invest $8,000 per year for 10 years at 12% interest, how much will you have at the end of 10 years? D. You win the lottery and can either receive $750,000 as a lump sum or $50,000 per year for 20 years. Assuming you can earn 8% interest, which do you recommend and why?
- Use the tables in Appendix B to answer the following questions. A. If you would like to accumulate $4,200 over the next 6 years when the interest rate is 8%, how much do you need to deposit in the account? B. If you place $8,700 in a savings account, how much will you have at the end of 12 years with an interest rate of 8%? C. You invest $2,000 per year, at the end of the year, for 20 years at 10% interest. How much will you have at the end of 20 years? D. You win the lottery and can either receive $500,000 as a lump sum or $60,000 per year for 20 years. Assuming you can earn 3% interest, which do you recommend and why?Find the amount (in $) of interest and the maturity value of the loans. Use the formula MV = P + I to find the maturity value. Principal Rate (%) Time Interest Maturity Value $97,000 8 1 4 4 1 2 years $ $Present value of an annuity Consider the following case. (Click on the icon located on the top-right corner of the data table below in order to copy its contents into a spreadsheet.) Amount of annuity Interest rate Period (years) $26,000 9% 4 a. Calculate the present value of the annuity assuming that it is (1) An ordinary annuity. (2) An annuity due. b. Compare your findings in parts a(1) and a(2). All else being identical, which type of annuity—ordinary or annuity due—is preferable? Explain why.
- QUESTION 1 Considering the following scenario. In years 0, 2, 4, 6, and 8, you deposit $750 in your savings account. The saving account earns 4.25% compounded anbually. What is the future value in year 10? 4,847.22 5,411.56 3,579.94 6,411.56Compound Interest Table Complete the following schedule for investments a through f by indicating the relevant factor from the present value or future value table and the final present or future value amount. Investment Compounding a. Annuity b. Annuity Annually Semiannually Semiannually Annually c. Annuity d. Single Payment e. Single Payment Semiannually f. Single Payment Semiannually Factor Answer $ a. $ Annual Interest Rate Amount 5% $2,000 4% 1,000 6% 14,000 •Note: Round your answers to the nearest whole dollar. •Note: Do not use a negative sign (-) with your answers. b. 5% 9,000 6% 16,000 4% 9,600 $ C. Investment $ Period d. $ Payment at Beg. or End e. of Period 2 years End 3 years Beginning 4 years Beginning 6 years n/a 5 years n/a 4 years n/a $ f. Future Value or Present Value Future Present Future Present Future PresentIf you were to put $1,000 in the bank each year for the next 10 years at 6% interest, which table would you use to find the ending balance in your account? Group of answer choices Future value of $1 Present value of an annuity of $1 Future value of an annuity of $1 Present value of $1