week 1

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University of Ottawa *

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2352X

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Finance

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Jan 9, 2024

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pptx

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31

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Online DGD ADM 2352 Week1 : Chapters 1 and 3
Question 1 You own 100 shares of a publicly traded Canadian Corporation. The corporation earns $5.00 per share before taxes. Once the corporation has paid any corporate taxes that are due, it will distribute the rest of its earnings to its shareholders in the form of a dividend. If the corporate tax rate is 40% and your personal tax rate on (both dividend and non- dividend) income is 30%, then how much money is left for you after all taxes have been paid?
Answer 1 Explanation: EPS × number of shares × (1 - Corporate Tax Rate) × (1 - Individual Tax Rate) $5.00 per share × 100 shares × (1 - .40) × (1 - .30) = $210
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The first step in evaluating a project is to identify its: A) amortization value and depreciation value B) principal value and maturity value C) present value and future value D) costs and benefits Question 2
Answer 2 Answer: D
Use the information for the question below. Alaska North Slope Crude Oil (ANS) $71.75/Bbl West Texas Intermediate Crude Oil (WTI) $73.06/Bbl As an oil refiner, you are able to produce $76 worth of unleaded gasoline from one barrel of Alaska North Slope (ANS) crude oil. Because of its lower sulfur content, you can produce $77 worth of unleaded gasoline from one barrel of West Texas Intermediate (WTI) crude. Another oil refiner is offering to trade you 10,150 Bbls of Alaska North Slope (ANS) crude oil for 10,000 Bbls of West Texas Intermediate (WTI) crude oil. Assuming you currently have 10,000 Bbls of WTI crude, what is the added benefit (cost) to you if you take the trade? Question 3
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Explanation: Total Benefits No trade and refine WTI crude (base case) 10,000 Bbls × $77 of gasoline/Bbl = $770,000 Trade WTI for ANS crude 10,150 Bbls × $76 of gasoline/Bbl = $771,400 Added Benefits = Total Benefits - Base Case Trade WTI for ANS crude = $771,400 - $770,000 = $1,400 Answer 3
Question 4 If the risk-free rate of interest (rf) is 6%, then you should be indifferent between receiving $250 today or what amount in one year?
Answer 4 Explanation: $250.00 × (1.06) = $265.00
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Question 5 A project you are considering is expected to provide benefits worth $225,000 in one year. If the risk-free rate of interest (rf) is 8%, then the value of the benefits of this project today are closest to?
Answer 5 Explanation: $225,000 / (1.08) = $208,333
Question 6 You are offered an investment opportunity in which you will receive $25,000 in one year in exchange for paying $23,750 today. Suppose the risk-free interest rate is 6% per year. Should you take this project, and what is the closest estimate of the NPV?
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Answer 6 Explanation: NPV = -23,750 + 25,000 / 1.06 = -165, since NPV < 0 you should reject project
Question 7 You have an investment opportunity in Germany that requires an investment of $250,000 today and will produce a cash flow of €208,650 in one year with no risk. Suppose the risk-free rate of interest in Germany is 7% and the current competitive exchange rate is €0.78 to $1.00. What is the NPV of this project? Would you take the project?
Answer 7 Explanation: NPV = -250,000 + (€208,650 / 1.07) × $1.00 / €0.78 = 0, so since NPV is not > 0, reject
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Question 8 Use the table for the question below. Assume that the risk-free interest rate is 10%. Rank each of the four projects from most desirable to least desirable based upon NPV. Which project would you invest in first? Are there any projects that you wouldn't invest in? Project Cash flow today Cash flow in one year "alpha" -18 23 "beta" 15 -12 "gamma" 15 -20 "delta" -16 21
Answer 8 Answer: Ranking 1. NPV beta = 15 - 12 / 1.1 = 4.09 2. NPV delta = -16 + 21 / 1.1 = 3.09 3. NPV alpha = -18 + 23 / 1.1 = 2.91 Would never invest in gamma. NPV gamma = 15 - 20 / 1.1 = -3.18
Question 9 Advanced Micro Devices (NYSE: AMD) is currently trading at $20.75 on the NYSE. Advanced Micro Devices is also listed on NASDAQ and assume it is currently trading on NASDAQ at $20.50. Does an arbitrage opportunity exist and if so how would you exploit it and how much would you make on a block trade of 1,000 shares?
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Answer 9 Answer: Yes, buy 1,000 shares × 20.50 and sell 1,000 shares × 20.75 = $250.00
Question 10 Use the table for the question(s) below. If the value of security "C" is $180, then what must be the value of security "A"? Security Cash flow today Cash flow in one year A 0 100 B 100 0 C 100 100
Answer 10 Explanation: The cash flows from C are simply a combination of A & B, so price(C) = price(A) + price(B) Since B is already in today's dollars, price(B) must = 100, so price A = 180 - 100 = $80.
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Question 11 Suppose a security with a risk-free cash flow of $1,000 in one year trades for $909 today. If there are no arbitrage opportunities, then the current risk-free interest rate is closest to:
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Answer 11 Explanation: PV = FV / (1 + i) ==>>> (1 + i) = FV / PV = $1,000 / $909 = 1.10 so i = 10%
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Question 12 Use the information for the question below. An exchange traded fund (ETF) is a security that represents a portfolio of individual stocks. Consider an ETF for which each share represents a portfolio of two shares of International Business Machines (IBM), three shares of Merck (MRK), and three shares of Citigroup Inc. (C). Suppose the current market price of each individual stock are shown below: Assume that the ETF is trading for $426.00. What (if any) arbitrage opportunity exists? What (if any) trades would you make? Stock Current Price IBM $79.50 MRK $40.00 C $48.50
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Answer 12 Answer: Value of ETF = 2 × 79.50 + 3 × 40.00 + 3 × 48.50 = $424.50, so an arbitrage opportunity exists. You should sell the ETF for $426.00 and buy 2 shares of IBM, 3 shares of MRK, and 3 shares of C.
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Question 13 Suppose a risky security pays an average cash flow of $100 in one year. The risk-free rate is 5%, and the expected return on the market index is 13%. If the returns on this security are high when the economy is strong and low when the economy is weak, but the returns vary by only half as much as the market index, then the price for this risky security is closest to?
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Answer 13 Explanation: Since the security is half as risky as the market, then the risk-premium for the security should be half of the market risk premium. The market risk premium is 13% - 5% = 8%, so the risk premium on this security should be half of this or 4%. So the expected return should be equal to the risk-free rate + the risk premium = 5% + 4% = 9%. Therefore the price = $100 / 1.09 = $92.
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Question 14 Use the table for the question(s) below. Consider an ETF that is made up of one share each of IBM, MRK, and C. The current quote for this ETF currently is $167.75 (bid) $167.85 (ask). What should you do? Security Bid Ask IBM 79.45 79.50 MRK 39.95 40.05 C 48.50 48.55
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Answer 14 Bid-ask spread: Difference of the price you receive when you sell (bid price) and when you buy (ask price) a security Answer: There is an arbitrage opportunity. Buy the ETF at the ask of $167.85 and sell the underlying securities at the bid prices. So we have +79.45 + 39.95 + 48.50 - 167.85 = .05 arbitrage profit per share 1.Bid Price : This is the maximum price that a buyer is willing to pay for a security (like a stock or bond). It represents the demand side of the market for a particular security. 2.Ask Price (sometimes called the "offer"): This is the minimum price that a seller is willing to accept for a security. It represents the supply side of the market. Security Bid Ask IBM 79.45 79.50 MRK 39.95 40.05 C 48.50 48.55 Sum 167.9 168.1
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Question 15 Use the table for the question(s) below. Consider an ETF that is made up of one share each of IBM, MRK, and C. The current quote for this ETF currently is $167.85 (bid) $167.95 (ask). What should you do? Security Bid Ask IBM 79.45 79.50 MRK 39.95 40.05 C 48.50 48.55
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Answer 15 Answer: Nothing; there is no arbitrage opportunity here. The ask price must fall below $167.90 or the bid price must be above $168.10 for there to be an arbitrage. Security Bid Ask IBM 79.45 79.50 MRK 39.95 40.05 C 48.50 48.55 Sum 167.9 168.1
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