Assume you make monthly deposits of $3,000 now into an account that pays 12% per year, compounded monthly. If you want to know the total amount after 2 years, the value of interest rate (i) you should use in the F/P factor is: Select one: а. 1% b. 3% C. 12% d. 24%
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A: The future value is the future worth of the amount that will be paid or received at future.
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- 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.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?
- Assume you make a deposit of $7,500 now into a saving account that pays 12% per year, compounded quarterly. If you want to know the total amount after 2 years, the value of interest rate (i) you should use in the F/P factor is: Select one: а. 3% b. 4 % с. 24% d. 12 %If you deposit $P into a savings account that earns interest at a rate of i% per month for n years, the future worth in year n is represented by all of the following equations, except: (a) F = $P(F∕P, effective i/month, 12n) (b) F = $P(F∕P, effective i/quarter, 3n) (c) F = $P(F∕P, effective i/6-month, 2n) (d) F = $P(F∕P, effective i/year, n)Assume you invest $1 000 at the end of this year, at the end of the second year, and at the end of the third year. How much will you have at the end of the fourth year if interest rates are 5% p.a.? Select one: a. $3,405.54 b. $3,310.12 c. $3,215.41 d. $3,100,21
- The current amount A of a principal P invested in a savings account paying an annual interest rate r is given by A = P(1+r/n)^(rt) where n is the number of times per year the interest is compounded. For continuous compounding, A = Pe^(rt). Suppose $10,000 is initially invested at 2.5 percent (r = 0.025). a. Plot A versus t for 0 ≤ t ≤ 20 years for four cases: continuous compounding, annual compounding (n = 1), quarterly compounding (n = 4), and monthly compounding (n = 12). Show all four cases on the same subplot and label each curve. On a second subplot, plot the difference between the amount obtained from continuous compounding and the other three cases. b. Redo part a, but plot A versus t on log-log and semilog plots. Which plot gives a straight line?You will deposit $30,000 per year into an account beginning today that pays 13 percent per year. How long (in years) would it take for you want have a total of $1,000,000 at retirement? m Nper (or N) =n*m Rate (or I/Y)=i/m PV PMT FV Identify variables and use excelJenny puts $200 into a savings account today, the account pays an annual interest rate of 5%, but compounded semiannually, and you withdraw $100 after 6 months. What would your ending balance be 20 years after the initial $100 deposit was made? m Nper (or N) =n*m Rate (or I/Y)=i/m PV PMT FV Identify variables and use excel
- 4. The interest rate on a savings account is 3%. Youdeposit £100 today, then £100 at the end of the firstyear, and £100 each year until the end of year 10. Youwithdraw x at the end of year 11, and then x each yearuntil the end of year 15 when the final withdrawal ismade. What value of x will empty the account after thefinal withdrawal? A: 250 B: 260 C: 270 D: 280You are currently investing your money in a bank account which has a nominal annual rate of 7 percent, compounded monthly. How many years will it take for you to double your money? m Nper (or N) =n*m Rate (or I/Y)=i/m PV PMT FV Identify variables and use excel4. The interest rate on a savingsaccount is 3% . You deposit£100 today, then £100 at theend of the first year, and £100each year until the end of year10. You withdraw x at the end ofyear 11, and then x each yearuntil the end of year 15 when thefinal withdrawal is made. Whatvalue of x will empty the accountafter the final withdrawal? A: 250B: 260 C: 270 D: 280