COMM 308 exam

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School

Concordia University *

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Course

308

Subject

Finance

Date

Jan 9, 2024

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pdf

Pages

9

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Part I: Multiple Choice Questions (30 Questions, 75 Points Total): - This part consists of 30 Multiple Choice Questions. Each question is worth 2.5 points. - Only answers on the computer answer sheet will be graded - Use pencil to mark your answers on the Computer Sheet 1. 10 percent interest rate compounded semi-annually is equivalent to what annual percentage rate compounded monthly? A. 8.87% B. 8.97% C. 9.80% D. 10.24% 2. Which of the following is an example of a direct agency cost? A. A company always buys the latest computer equipment for its employees. B. Senior management receives stocks of the firm as a part of compensation package. C. Managers can use the company float plane to fly to their cottages on weekends. D. Sales representatives are provided with company cars to use when visiting clients. 3. Which of the following is the most correct? ___________________ know their exposure is limited to the amount of capital they invest in the company. A. Shareholders B. Sole proprietors C. General and limited partners D. Limited partners and shareholders 4. Assume that all interest rates in the economy decline from 10% to 9%. Which of the following bonds will have the largest percentage increase in price (all rates are compounded annually)? A. A 10-year bond with a 10% coupon. B. A 10-year zero coupon bond. C. An 8-year bond with a 9% coupon. D. A 1-year bond with a 9% coupon.
5. John invested $5,000 at a rate of 5% compounded annually. How long will it take for the investment to grow to $30,000? A. 7.22 years B. 10.11 years C. 23.64 years D. 36.72 years 6. A $1,000 par value bond pays interest of $35 each quarter and will mature in 10 years. If your quoted rate of return is 12 percent with quarterly compounding, how much should you be willing to pay for this bond? A. $ 941.36 B. $1,051.25 C. $1,115.57 D. $1,391.00 7. For a given quoted rate (annual percentage rate), the effective annual rate …. if the frequency of compounding increases? A. Decreases B. Increases C. Remains constant D. None of the above 8. A bond has a yield to maturity of 4% and a coupon rate of 6%. Which of the following statements is true? A. The price of the bond can be more/less than the face value. B. The bond is trading at a discount from face value. C. The price of the bond must be more than the face value. D. The bond is trading at par value. 9. You are going to receive 10 annual payments. The first payment which is equal to $500 will be paid one year from now, and the annual payments grow by 2 percent per year. How much will you have in your account at the end of year 10, if the interest rate is 6% Effective Annual Rate. Choose the closest answer. A. 3,991.4 B. 7,148.1 C. 8,127.5 D. 9,879.5
10. Professor Scholes just borrowed $125,000 from a bank to buy his favorite car. The bank has agreed to loan him the money at a Quoted Rate of 6% compounded monthly for 60 months (first payment starts one month from now). Based on this information, how much principal will he repay in the 51 st month of the loan? Please round your final answer to the nearest dollar? A. $1,171 B. $2,006 C. $2,021 D. $2,299 11. Your bank account pays an 8 percent quoted rate of interest. The interest is compounded quarterly. Which of the following statements is most correct? A. The interest rate per quarter is 2 percent and the EAR is greater than 8 percent. B. The interest rate per quarter is 8 percent and the EAR is greater than 8 percent. C. The interest rate per quarter is 8 percent and the EAR is less than 8 percent. D. The interest rate per quarter is 2 percent and the EAR is less than 8 percent. 12. Which of the following statements is correct? A. An investment that compounds interest semi-annually, and has a quoted rate of 10 percent, will have an effective annual rate of less than 10 percent. B. The proportion of the payment of an installment (amortized) loan that goes towards the repayment of principal increases over time. C. The present value of a 3-year $100 annuity due is less than the present value of a 3-year ordinary annuity (PMTs start at t=0 for annuity due and at t=1 for annuity). D. Statements A and B are correct. 13. Six years from now you will begin to receive cash flows of $100 per year. These cash flows will continue forever. If the appropriate discount rate is 5% (EAR), what is the present value of these cash flows? Choose the closest value. A. $2,000 B. $1,834 C. $1,567 D. $1,492
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14. What is PV0 of an investment that pays $100 on t=1 if the payments grow by 8% a year thereafter. The last payment is on t=6 and the rate (EAR) is 8%.: A. $600 B. $555.55 C. $444.44 D. $400 15. The semi-annual 6 percent coupon paying bonds of “XYZ” company, have a quoted price (i.e., clean price) of $910. If the last coupon payment occurred on June 30 th , 2016; the cash price of the bond on August 30 th , 2016 is closest to which one of the following choices? Assume that face value of the bond is $1000. A. $960 B. $955 C. $920 D. $915 16. Suppose Bombardier zero-coupon bonds have a face value of $1000 and mature in 16 years. They currently (today) sell for $343.04. By what percentage will the price of the bond rise if the market's required return (quoted rate with semi-annual compounding) falls by half? A. 63.2% B. 70.0% C. 36.83% D. 170.0% 17. What is the price of a semi-annual corporate bond that has a 6% coupon rate, face value of $1000, 12 years to maturity and a discount rate (YTM) of 7%. A. $1083.84 B. $1677.42 C. $919.71 D. $922.57 18. ABC Company has a bond outstanding that has a 5% coupon rate and a market price of $785. If the bond matures in 8 years and interest is paid semi-annually, what is the YTM (QR compounded semi-annually)? A. 5.0% B. 6.0% C. 7.3% D. 8.8%
19. Jake wants to buy a zero coupon bond that will be worth $1000 nine years from today. How much should he pay today to buy this bond if he wants to earn 6.5% (quoted rate with semi-annual compounding) on his investment? A. $551.89 B. $562.32 C. $1007.02 D. $750 20. You invested $2,000 at 5 percent compounded annually. Determine how much interest was earned in the fifth year (from beginning of year 5 to the end of year 5). (Round your answer to two decimals.) A. $100.00 B. $121.55 C. $500.00 D. $552.56 21. Your bank account pays a quoted interest rate of 5 percent, but interest is compounded daily (on a 365-day basis). Your plan is to deposit $600 into the account today. You also plan to deposit $800 into the account at the end of each of the next three years. How much will you have in the account at the end of three years, right after making your final deposit? Round your answer to the nearest dollar. A. $3,222 B. $3,525 C. $3,716 D. $3,824 22. You plan to borrow $15,000 to purchase a car. The interest rate quoted to you is 6.25% per year, compounded monthly, and the term of the loan is three years with monthly payments. How many months will it take you to reduce your loan balance (i.e., outstanding principal) to $8,500? Choose the closest answer. A. 22.0 months B. 19.5 months C. 14.0 months D. 16.5 months
23. You have just taken out a 10-year, $15,000 loan. This loan is to be repaid in 120 equal end-of-month installments. If each of the monthly installments is $200, what is the effective annual interest rate on this loan? Choose the closest answer. A. 4.81% B. 9.60% C. 10.21% D. 10.70% 24. Ronnco bonds are currently selling for $917.12. These bonds mature in 12 years, pay semi-annual interest and have a yield to maturity of 6.4%. What is the coupon rate (QR compounded semi-annually)? A. 5.4% B. 2.7% C. 2.4% D. 5.7% 25. If investors require an 8% nominal return and the expected inflation rate is 2.5%, what is the real return? A. 8.65% B. 3.5% C. 5.36% D. 10.7% 26. Company A just paid a dividend of $1.8 per share on its common stocks. The dividends are expected to grow at 4 percent per year indefinitely. What are the capital gain and dividend yield (respectively) that you realize, if you buy the stock today (right after ࠵? ! was paid) and sell it one year from now (right after you receive ࠵? " )? Assume that the required rate of return is 12%. A. 4%, 8% B. 10%, 4% C. 4%, 12% D. 6%, 6% 27. A firm has a ROE (Return on Equity) of 10 percent (EAR). If the dividends on the stocks of the firm are growing at a constant rate of 7 percent per year, calculate the firm’s dividend payout ratio. A. 70% B. 45% C. 35% D. 30%
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28. How much would you pay for a share of stock today if you expect it will pay a dividend of $2.50 each year for the next two years and will sell for $73 two years from now (after ex-dividend date)? Assume your required rate of return on this stock is 13 percent. A. $60.50 B. $55.50 C. $53.54 D. $61.34 29. Star Corporation has issued preferred shares to investors with a 5.5% annual dividend rate on a par value of $100. Assuming the firm pays dividends indefinitely, and the required rate of return is 12 percent, calculate the current price of the preferred share? A. 55.15 B. 45.83 C. 43.20 D. 38.15 30. Eaton Inc. has decided to increase its annual dividends by 5 percent a year for the next three years and there would be no growth of dividends thereafter (i.e., the dividends remain the same indefinitely, from t=3). The company just paid a dividend of $2 per share. What is the market value of its stock, if the required rate of return is 11%? A. 18.1 B. 21 C. 23.5 D. 35
Part II: Problems (25 Points Total) Answer on this document, in the space provided. Use the back of the sheet if you need additional space. Label it clearly. Any work on the back of the sheet, which is not labeled clearly, will not be graded. Show all your work. Unsupported statements or numbers will not receive any grade. Q1 (15 points) Give the details of your calculations The stock of company ABC just paid a dividend of $2 on each of the stocks. The dividends are going to grow by 20% for the next 5 years, and thereafter, the dividends are going to decline by 5% a year forever. If the required rate of return is 10%, what is the price of the stock today?
Q2 (10 points) Give the details of your calculations. What is the present value of an investment that pays $100 on t=1, $200 on t=2, and $300 on t=3, if this pattern goes on forever (i.e., again $100 on t=4, $200 on t=5, and $300 on t=6, and so on). The effective annual rate is 12%.
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