How much will accumulate in three years by depositing $560 at t Note: Use tables, Excel, or a financial calculator. Round your fin ($1. PVA of $1. EVAD of $1 and PVAD of $.1) Table, Excel, or calculator function Payment: Future Value: n= FVAD of $1 $ 560 12 5.0%
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- Use 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?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.You would like to contribute to a savings account over the next three years in order to accumulate enough money to take a trip to Europe. Assume an interest rate of 14%, compounded quarterly. How much will accumulate in three years by depositing $740 at the beginning of each of the next 12 quarters? Note: Use tables, Excel, or a financial calculator. Round your final answers to nearest whole dollar amount. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) Table, Excel, or calculator function: Payment: Future Value: n= 1=
- Suppose you have estimated that you will need $2,500 per month in your retirement to meet your expenses and live comfortably, and that you have found or chosen a fund (account) which pays monthly interest 4% APR . What principal, or balance, will your account need to maintain in order to be able to pay you this amount each month? Round/take your answer to the nearest cent.You are saving for a new house. You place $47,000 into an investment account at the end of each year for five years. How much will you have after five years if the account earns (a) 5%, (b) 7%, or (c) 9% compounded annually? Note: Use tables, Excel, or a financial calculator. Round your answers to 2 decimal places. (FV of $1, PV of $1, FVA of $1, and PVA of $1) a. b. C.. Annuity Annual Interest Payment Rate Compounded $ 47,000 47,000 47,000 5% 7% 9% Annually Annually Annually Period Invested 5 years 5 years 5 years Future Value of Annuity $ 59,985.23 65,919.93 72,315.33 4You open a savings account with $1,000. At the end of each year you earn 3% interest on your savings and then you deposit $1,000 into the account. Let An be the amount in the account after n years. 1. Explain why A₁ = 2,030. 2. Calculate A2 and A3. Round to the nearest penny if necessary. 3. Write a recurrence relation for An+1 in terms of An. What is the first term A₁?
- You deposit $320 each month into an account earning 2% interest compounded monthly. Use the TVM Solver on the TI calculator. Round to the nearest cent (two decimal places). a) How much will have accumulated in the account in 20 years? $ b) How much money will you have deposited in the account during this time? $ c) How much of the amount in the account will be interest?You initially invest $400 in a savings account that pays a yearly interest rate of 3%. (a) Write a formula for an exponential function giving the balance in your account as a function of the time since your initial investment. (Let B be the account balance in dollars and t be the number of years since the initial investment.) 8(t)= dollars (b) What monthly interest rate best represents this account? Round your answer to three decimal places. % (c) Calculate the decade growth factor. (Round your answer to two decimal places.) (d) Use the formula you found in part (a) to determine how long it will take for the account to reach $536. (Round your answer to the nearest whole number.) yr Explain how this is consistent with your answer to part (c), At the end of one decade, there will be $ where the account reaches $536 at the end of This --Select-- o the answer found above years,You decide to invest $7,500 into an account that pays 1.1% annual compound interest. Write an equation for the balance of the account (B) after t years.
- If you deposit $4,000 at the end of each year into an account which earns 10.3%, how many years will it take until your account is worth $1,000,000? (using a spreadsheet)Suppose you deposit $10 every week into an account that earns 4% interest compounded weekly. How much money (to the nearest cent) will you have in the account after 5 years? Summarize the information provided, stating the interest rate in a decimal form. d = r = N = k = Solve the problem and give your answer hereYou have just opened a savings account which pays monthly interest at a rate of j12 = 5.5% p.a. You wish to accumulate $20,000 by depositing the same amount into the account at the end of each month, for 2 years, starting in a month's time. a) Determine the required size for the monthly deposit, R. Apply a sanity check. b) Construct a sinking fund table showing 24 deposits with a fixed interest rate of 5.5%. Describe and apply a sanity check to your table. c) Suppose that the interest rate is renewed every three months (quarterly) over the course of the two years as follows: Year 1 Q1 5.5% 02 Q3 2.8% 4.5% 04 01 4.0% 4.2% Year 2 Q2 04 03 3.8% 2.5% 7.5% If you maintain the same monthly deposit of R determined in part a), find the size of your sinking balance after two years. Will you meet your target of $20,000? Describe and apply a sanity check for your answer. d) Construct a sinking fund table showing 24 deposits with the variable interest rate. Describe and apply a sanity check to…