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You have an opportunity to make an investment that will pay $
300 at the end of the first year, $
100 at the end of the second year, $
200 at the end of the third year, $
400 at the end of the fourth year, and
$500 at the end of the fifth year.
a. Find the present value if the interest rate is
9 percent. (Hint: You can simply bring each cash flow back to the present and then add them up. Another way to work this problem is to either use the
=NPV function in Excel or to use your CF key on a financial calculator
—but you'll want to check your calculator's manual before you use this key. Keep in mind that with the
=NPV function in Excel, there is no initial outlay. That is, all this function does is bring all the future cash flows back to the present. With a financial calculator, you should keep in mind that
CF0 is the initial outlay or cash flow at time 0, and, because there is no cash flow at time 0,
CF0
=0.)
b. What would happen to the present value of this stream of cash flows if the interest rate were zero percent?
Question content area bottom
Part 1
a. What is the present value of the investment if the interest rate is
9 percent?
$
enter your response here
(Round to the nearest cent.)
Step by step
Solved in 3 steps with 2 images
- You have an opportunity to make an investment that will pay $100 at the end of year 1, $400 at the end of year 2, $400 at the end of year 3, $400 at the end of year 4 and $300 at the end of year 5. Find the present value of this cash flow stream if the interest rate is 8%. (Hint: You can simply discount each cash flow to the present and then add them up or use the "=NPV function" in Excel or the CF key on your financial calculator a. $1,251.25 b. $1,351.25 c. $1,151.25 d. $1,451.25 a.. b.. C. . d..What would be the interest rate that would allow you to convert an investment from B/.5,000 to B/.20,227.79 in 10 years? (NOTE: Do this problem ONLY with Conversion Factor and the corresponding Excel Financial Function and remember to confirm your answer with the corresponding Cash Flow Table)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.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
- 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 excelOne 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.…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? B. If you place $6,200 in a savings account, how much will you have at the end of 6 years with a 12% Interest rate? C. You Invest $9,000 per year for 9 years at 12% Interest, how much will you have at the end of 9 years? D. You win the lottery and can either recelve $750,000 as a lump sum or $60,000 per year for 20 years. Assuming you can earn 8% Interest, which do you recommend and why? Take the lump sum $750,000 because it is more money. ✓
- Find the present worth sum of money that would be equivalent to the future amounts of $5000 in year 6 and $7000 in year 8 if the real interest rate is 10% per year and the inflation rate is 5% per year. Solve using the factors and their equations with (a) an inflation-adjusted rate, and (b) the real interest rate. Solve manually pleaseNow it's time to practice what you've learned. Consider a future value of $2,000, 9 years in the future. Assume that the nominal interest rate is 24.00%. Assume that there is semiannual compounding. Entering PMT=0 and a FV=$2,000 into a financial calculator, along with the appropriate periodic interest rate and value of N, yields a present value of approximately $ with semiannual compounding. Assume that there is quarterly compounding. Entering PMT=0 and a FV=$2,000 into a financial calculator, along with the appropriate periodic interest rate and value of N, yields a present value of approximately $ with quarterly compounding. Suppose now that the cash flow of $2,000 occurs only 1 year in the future. Assume that there is monthly compounding. Entering PMT=0 and a FV $2,000 into a financial calculator, along with the appropriate periodic interest rate and value of N, yields a present value of approximately $ with monthly compounding.Now it's time to practice what you've learned. Consider a future value of $2,000, 9 years in the future. Assume that the nominal interest rate is 24.00%. Assume that there is semiannual compounding. Entering PMT=0 and a FV=$2,000 into a financial calculator, along with the appropriate periodic interest rate and value of N, yields a present value of approximately $ with semiannual compounding. Assume that there is quarterly compounding. Entering PMT=0 and a FV=$2,000 int a financial calculator, along with the appropriate periodic interest rate and value of N, yields a present value of approximately $ with quarterly compounding. Suppose now that the cash flow of $2,000 occurs only 1 year in the future. Assume that there is monthly compounding. Entering PMT=0 and a FV-$2,000 into a financial calculator, along with the appropriate periodic interest rate and value of N, yields a present value of approximately $ with monthly compounding..