Please Answer ONLY FOUR Above Assigned Questions to each student. 1. Today, you earn a salary of $36,000. What will be your annual salary twelve years from now if you earn annual raises of 3.6 percent? 2. You own a classic automobile that is currently valued at $150,000. If the value increases by 6.5 percent annually, how much will the automobile be worth ten years from now? 3. You hope to buy your dream car four years from now. Today, that car costs $82,500. You expect the price to increase by an average of 4.8 percent per year over the next four years. How much will your dream car cost by the time you are ready to buy it? 4. This morning, TL Trucking invested $75,000 to help fund a company expansion project planned for 4 years from now. How much additional money will the firm have 4 years from now if it can earn 5 percent rather than 4 percent on its savings? 5. You just received $225,000 from an insurance settlement. You have decided to set this money aside and invest it for your retirement. Currently, your goal is to retire 25 years from today. How much more will you have in your account on the day you retire if you can earn an average return of 10.5 percent rather than just 8 percent? 6. You just received a $3,000 gift from your grandmother. You have decided to save this money so that you can gift it to your grandchildren 50 years from now. How much additional money will you have to gift to your grandchildren if you can earn an average of 8.5 percent instead of just 8 percent on your savings? n=50, pv=3000, I=8 find fv Fv of interest 8% = $140,704.837 n=50, pv=3000, I=8.5 find fv Fv of interest 8.5% = $177,258.946 $177,258.946- $140,704.837= $36,554.109 is the additional money 7. You are depositing $1,500 in a retirement account today and expect to earn an average return of 7.5 percent on this money. How much additional income will you earn if you leave the money invested for 45 years instead of just 40 years? 8. You collect old coins. Today, you have two coins each of which is valued at $300. One coin is expected to increase in value by 6 percent annually while the other coin is expected to increase in value by 4.5 percent annually. What will be the difference in the value of the two coins 15 years from now? 9. Your father invested a lump sum 26 years ago at 4.25 percent interest. Today, he gave you the proceeds of that investment which totaled $51,480.79. How much did your father originally invest? 10. Your older sister deposited $5,000 today at 8.5 percent interest for 5 years. You would like to have just as much money at the end of the next 5 years as your sister will have. However, you can only earn 7 percent interest. How much more money must you deposit today than your sister did if you are to have the same amount at the end of the 5 years? 11. You are scheduled to receive $30,000 in two years. When you receive it, you will invest it for 5 more years, at 6 percent per year. How much money will you have 7 years from now? 12. Fourteen years ago, your parents set aside $7,500 to help fund your college education. Today, that fund is valued at $26,180. What rate of interest is being earned on this account? 13. On your ninth birthday, you received $300 which you invested at 4.5 percent interest, compounded annually. Your investment is now worth $756. How old are you today? 14. Assume the total cost of a college education will be $300,000 when your child enters college in 16 years. You presently have $75,561 to invest. What rate of interest must you earn on your investment to cover the cost of your child's college education? 15. At 8 percent interest, how long would it take to quadruple your money? 16. Assume the average vehicle selling price in the United States last year was $41,996. The average price 9 years earlier was $29,000. What was the annual increase in the selling price over this time period? fv=-41,996 and pv=29,000 and n=9 find interest Interest = 4.2% 17. You're trying to save to buy a new $160,000 Ferrari. You have $58,000 today that can be invested at your bank. The bank pays 6 percent annual interest on its accounts. How many years will it be before you have enough to buy the car? Assume the price of the car remains constant. 18. You expect to receive $9,000 at graduation in 2 years. You plan on investing this money at 10 percent until you have $60,000. How many years will it be until this occurs? 19. The Burger Hut has sales of $29 million, total assets of $43 million, and total debt of $13 million. The profit margin is 11 percent. What is the return on equity? 20. Coulter Supply has a total debt ratio of 0.52. What is the equity multiplier? 21. Lancaster Toys has a profit margin of 7.5 percent, a total asset turnover of 1.71, and a return on equity of 21.01 percent. What is the debt-equity ratio? 22. Charlie's Chicken has a debt-equity ratio of 2.05. Return on assets is 9.2 percent, and total equity is $560,000. What is the net income? 23. Canine Supply has sales of $2,200, total assets of $1,400, and a debt-equity ratio of 0.5. Its return on equity is 15 percent. What is the net income? 24. Billings, Inc. has net income of $161,000, a profit margin of 7.6 percent, and an accounts receivable balance of $127,100. Assume that 66 percent of sales are on credit. What is the days' sales in receivables? 25. Gladstone Pavers has a long-term debt ratio of 0.6 and a current ratio of 1.6. Current liabilities are $700, sales are $4,440, the profit margin is 9.5 percent, and the return on equity is 19.5 percent. How much does the firm have in net fixed assets? Essay Questions 26. You want to deposit sufficient money today into a savings account so that you will have $1,000 in the account three years from today. Explain why you could deposit less money today if you could earn 3.5 percent interest rather than 3 percent interest. fv=1000, n=3 and I=3 find PMT find pv pmt = $323.530 fv=1000, n=3 and I=3.5 find PMT find pv pmt= $321.934 This is because the higher the interest rate the more that will be added to a payment. When interest was 3%, the annual payment was $323.530 which is higher than $321.934 when the interest was 3.5% because having a high interest rate would allow the investor or savor to pay less as more income (percentage) is being added to a regular payment, in this case annually, and due to the compounding effect, hence the investor would have the option to pay less than when having a lower interest rate. When interest was 3%, the annual payment was $323.530 which is higher than $321.934 when the interest was 3.5% because having a high interest rate would allow the investor or savor to pay less as more income (percentage) is being added to a regular payment, in this case annually 27. You are considering two separate investments. Both investments pay 7 percent interest. Investment A pays simple interest and Investment B pays compound interest. Which investment should you choose, and why, if you plan on investing for a period of 5 years? 28. You are considering two lottery payment options: Option A pays $10,000 today and Option B pays $20,000 at the end of ten years. Assume you can earn 6 percent on your savings. Which option will you choose if you base your decision on present values? Which option will you choose if you base your decision on future values? Explain why your answers are either the same or different. In Option A: fv= -10,000, n=10, i= 6% find pv Pv= $5,583.947 pv= -10,000, n=10, i= 6% find fv fv = $17,908.48 in option B: fv= -20,000, n=10, i= 6% find pv pv= $11,167.70 pv= -20,000, n=10, i= 6% find fv fv= $35,816.953 I would choose option B , as having a fv and a pv of $20,000 would give a higher fv and a higher pv, because the larger the initial amount the higher would be the fv and higher future value would require higher initial amounts assuming interest and number of years constant in both options. 29. You are considering two annuities, both of which pay a total of $20,000 over the life of the annuity. Annuity A pays $2,000 at the end of each year for the next 10 years. Annuity B pays $1,000 at the end of each year for the next 20 years. Which annuity has the greater value today? Is there any circumstance where the two annuities would have equal values as of today? Explain. 30. It is commonly recommended that the managers of a firm compare the performance of their firm to that of its peers. Increasingly, this is becoming a more difficult task. Explain some of the reasons why comparisons of this type can frequently be either difficult to perform or produce misleading results. Good Luck