You 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? Identify the following variables to help solve problem: m Nper (or N) =n*m Rate (or I/Y)=i/m PV PMT FV
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You 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? Identify the following variables to help solve problem:
| m |
| Nper (or N) =n*m |
| Rate (or I/Y)=i/m |
| PV |
| PMT |
| FV |
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- You 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 Must identify variables and use excelYou 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 excelThe present value represents the amount of money you would have to deposit today in order to match what you would get from the income stream at the future date. The formula is Time = M = i Future value represents the total amount of money you would have if you deposit the income stream until a future date. The formula is To start our problem we need to identify the variables. Rate =r= i Income Stream S(t) = i Present Value = years % M 1. 0 S (t) et dt. Future Value = Present Value* erM dollars/year
- One can solve for payments (PMT), periods (N), and interest rates (1) for annuities. The easiest way to solve for these variables is with a financial calculator or a spreadsheet. Quantitative Problem 1: You plan to deposit $2,100 per year for 4 years into a money market account with an annual return of 3%. You plan to make your first deposit one year from today. a. What amount will be in your account at the end of 4 years? Do not round intermediate calculations. Round your answer to the nearest cent. $ b. Assume that your deposits will begin today. What amount will be in your account after 4 years? Do not round intermediate calculations. Round your answer to the nearest cent. $ Quantitative Problem 2: You and your wife are making plans for retirement. You plan on living 25 years after you retire and would like to have $95,000 annually on which to live. Your first withdrawal will be made one year after you retire and you anticipate that your retirement account will earn 12% annually. a.…In this project, you will use a graphing calculator to compare savings plans. For instance, suppose you are depositing $1000 in a savings account and are given the following options: 4 • 6.2% annual interest rate, compounded annually 6.1% annual interest rate, compounded quarterly 6.0% annual interest rate, compounded continuously •In your own words, explain how compounding works. According to the rule of 72, if you deposit $100 in an account that pays 9% compound interest, how long will it take that initial deposit to reach $200? Use the matrix given below. For each type of investment, record this information: • Is the risk high, moderate, or low? • Is the return high, moderate, or low? • How does this type of investment work? Explain in one or two sentences.
- 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 4 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 $6,100 in a savings account, how much will you have at the end of 7 years with a 12% interest rate? $fill in the blank 2 C. You invest $7,000 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 $760,000 as a lump sum or $40,000 per year for 19 years. Assuming you can earn 8% interest, which do you recommend and why?Use the present value and future value tables to answer the following questions. A. If you would like to accumulate $2,600 over the next 5 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 7 years with a 12% interest rate? $fill in the blank 2 C. You invest $7,000 per year for 11 years at 12% interest, how much will you have at the end of 11 years? $fill in the blank 3 D. You win the lottery and can either receive $740,000 as a lump sum or $50,000 per year for 20 years. Assuming you can earn 8% interest, which do you recommend and why? Take the lump sum $740,000 because it is more money.Suppose your bank account will be worth $4,200.00 in one year. The interest rate (discount rate) that the bank pays is 5%. What is the present value of your bank account today?
- You borrow P dollars now. You will pay back your debt by paying an annuity of A dollars for each of n periods into the future. Suppose m < n and that you have made your first m payments of A dollars. How much do you owe after making the mth payment.1. If you receive $176 each month for 12 months and the discount rate is 0.04, what is the future value? (show the process and can use financial calculator)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 Must identify variables and use excel