Assume you have $12,000 in cash. You can deposit it today in a mutual fund earning 8.2% semiannually, or you can wait, enjoy some of it, and invest $11,000 in your brother's business in two years. Your brother is promising you a return of at least 10% on your investment. Regardless of the investment option you choose, you will have to cash in at the end of 10 years. Assume your brother is trustworthy and that both investments carry the same risk. Which investment option will you choose and why?
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- You plan to retire in 35 years and can invest to earn 6.85 percent. You estimate that you will need $82,000 at the end of each year for an estimated 30 years after retirement, and you expect to earn 4.5 percent during those retirement years. How much do you need to set aside at the end of each year to accumulate the money necessary for your retirement? (Assume year-end cash flows.) I will need this much at retirement _____________and will need to set aside ___________per year (at the end of each year.Suppose Kay inherits $250,000, which she invests today at a rate of return of 9 percent compounded annually. Who much will Kay's investment be worth in 25 years?suppose that you invest $100 today in a risk-free investment and let the 4 percent annual intrest rate compound. Rounded to the full dollars, what will be the value of your investment 4 years from now?
- Calculate the price of a zero-coupon bond that matures in 20 years if the market interest rate is 3.8 percent. Assume semiannual compounding. (Do not round intermediate calculations. Round your final answer to 2 decimal places.)You want to buy an ordinary annuity that will pay you $4,000 a year for the next 20 years. You expect annual interest rates will be 8 percent over that time period. The maximum price you would be willing to pay for the annuity is closest to:Suppose Ted deposits $10,000 in a savings plan earning 5% compounded annually and Tess deposits $10,000 ina savings plan earning 10% compounded annually. Both leave their money on deposit for 40 years. Because Tess’srate is twice as great as Ted’s rate, is it true that Tess will earn twice as much interest? Explain why or why not.Then show calculations to prove your point of view. What is the future value for each investment? N i PV PMT FV 5 10
- An investment will pay $100 at the end of each of the next 3 years, $200 at the end of Year 4, $350 at the end of Year 5, and $600 at the end of Year 6. If other investments of equal risk earn 7% annually, what is its present value? Its future value? Do not round intermediate calculations. Round your answers to the nearest cent.Now that young King Solomon has inherited the kingdom of Israel, and a massive amount of wealth that he can invest, he wants to plan for his "retirement." Since he doesn't know how long he'll live, and data on life expectancy is scarce, he reasons that he just wants a regular "cash flow" over the course of his life. With that in mind, how many shekels would he need to deposit at 20 percent interest compounded every year in order to be able to withdraw 50 shekels at the end of every year for seventy years?You are considering investing $4,000 at an interest rate of 5% compoundedannually for five years, or investing the $4,000 at 6% per year simple interestfor seven years. Which option is better?
- Rework part (f), assuming that Annie holds the bond for 10 years and sells it when the required return is 7.0%. Compare your finding to that in part (f), and comment on the bond's maturity risk. PV= 1,000 N=10 I/Y= 7% Assume that Annie buys the bond at its current price of $983.80 and holds it until maturity. What will her current yield and yield to maturity (YTM) be, assuming annual interest? After evaluating all of the issues raised above, what recommendation would you give Annie with regard to her proposed investment in the Atilier Industries bonds?Jamie is considering leaving her current job, which pays $75,000 per year, to start a new company that develops applications for smart phones. Based on market research, she can sell about 50,000 units during the first year at a price of $4 per unit. With annual overhead costs and operating expenses amounting to $145,000, Jamie expects a profit margin of 20 percent. During the first year, Jamie is using her savings to cover total costs. Current annual rate of return on saving is 2.1%. This margin is 5 percent larger than that of her largest competitor, Apps, Inc. If Jamie decides to embark on her new venture, Accounting costs: Economic costs: Opportunity costs:Jamie is considering leaving her current job, which pays $75,000 per year, to start a new company that develops applications for smart phones. Based on market research, she can sell about 50,000 units during the first year at a price of $4 per unit. With annual overhead costs and operating expenses amounting to $145,000, Jamie expects a profit margin of 20 percent. During the first year, Jamie is using her savings to cover total costs. Current annual rate of return on saving is 2.1%. This margin is 5 percent larger than that of her largest competitor, Apps, Inc. Accounting costs? Economic costs? Opportunity costs? Suppose that Jamie’s estimated selling price is lower than originally projected during the first year. How much revenue would she need in order to earn positive accounting profits? Positive economic profits?