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Chap001

Course: FINA 6275, Spring 2012
School: GWU
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01 Chapter - The Investment Environment CHAPTER 1: THE INVESTMENT ENVIRONMENT PROBLEM SETS 1. Ultimately, it is true that real assets determine the material well being of an economy. Nevertheless, individuals can benefit when financial engineering creates new products that allow them to manage their portfolios of financial assets more efficiently. Because bundling and unbundling creates financial products with...

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01 Chapter - The Investment Environment CHAPTER 1: THE INVESTMENT ENVIRONMENT PROBLEM SETS 1. Ultimately, it is true that real assets determine the material well being of an economy. Nevertheless, individuals can benefit when financial engineering creates new products that allow them to manage their portfolios of financial assets more efficiently. Because bundling and unbundling creates financial products with new properties and sensitivities to various sources of risk, it allows investors to hedge particular sources of risk more efficiently. Securitization requires access to a large number of potential investors. To attract these investors, the capital market needs: (1) a safe system of business laws and low probability of confiscatory taxation/regulation; (2) a well-developed investment banking industry; (3) a well-developed system of brokerage and financial transactions, and; (4) well-developed media, particularly financial reporting. These characteristics are found in (indeed make for) a well-developed financial market. 3. Securitization leads to disintermediation; that is, securitization provides a means for market participants to bypass intermediaries. For example, mortgage-backed securities channel funds to the housing market without requiring that banks or thrift institutions make loans from their own portfolios. As securitization progresses, financial intermediaries must increase other activities such as providing short-term liquidity to consumers and small business, and financial services. Financial assets make it easy for large firms to raise the capital needed to finance their investments in real assets. If General Motors, for example, could not issue stocks or bonds to the general public, it would have a far more difficult time raising capital. Contraction of the supply of financial assets would make financing more difficult, thereby increasing the cost of capital. A higher cost of capital results in less investment and lower real growth. 2. 4. 1-1 Chapter 01 - The Investment Environment 5. Even if the firm does not need to issue stock in any particular year, the stock market is still important to the financial manager. The stock price provides important information about how the market values the firm's investment projects. For example, if the stock price rises considerably, managers might conclude that the market believes the firm's future prospects are bright. This might be a useful signal to the firm to proceed with an investment such as an expansion of the firm's business. In addition, the fact that shares can be traded in the secondary market makes the shares more attractive to investors since investors know that, when they wish to, they will be able to sell their shares. This in turn makes investors more willing to buy shares in a primary offering, and thus improves the terms on which firms can raise money in the equity market. 6. a. Cash is a financial asset because it is the liability of the federal government. b. No. The cash does not directly add to the productive capacity of the economy. c. Yes. d. Society as a whole is worse off, since taxpayers, as a group will make up for the liability. 7. a. The bank loan is a financial liability for Lanni. (Lanni's IOU is the bank's financial asset.) The cash Lanni receives is a financial asset. The new financial asset created is Lanni's promissory note (that is, Lannis IOU to the bank). b. Lanni transfers financial assets (cash) to the software developers. In return, Lanni gets a real asset, the completed software. No financial assets are created or destroyed; cash is simply transferred from one party to another. c. Lanni gives the real asset (the software) to Microsoft in exchange for a financial asset, 1,500 shares of Microsoft stock. If Microsoft issues new shares in order to pay Lanni, then this would represent the creation of new financial assets. d. Lanni exchanges one financial asset (1,500 shares of stock) for another ($120,000). Lanni gives a financial asset ($50,000 cash) to the bank and gets back another financial asset (its IOU). The loan is "destroyed" in the transaction, since it is retired when paid off and no longer exists. 1-2 Chapter 01 - The Investment Environment 8. a. Liabilities & Shareholders equity Cash $ 70,000 Bank loan $ 50,000 Computers 30,000 Shareholders equity 50,000 Total $100,000 Total $100,000 Ratio of real assets to total assets = $30,000/$100,000 = 0.30 Assets b. Assets Software product* Computers Total *Valued at cost Ratio of real assets to total assets = $100,000/$100,000 = 1.0 c. Assets Microsoft shares Computers Total $120,000 30,000 $150,000 Liabilities & Shareholders equity Bank loan $ 50,000 Shareholders equity 100,000 Total $150,000 $ 70,000 30,000 $100,000 Liabilities & Shareholders equity Bank loan $ 50,000 Shareholders equity 50,000 Total $100,000 Ratio of real assets to total assets = $30,000/$150,000 = 0.20 Conclusion: when the firm starts up and raises working capital, it is characterized by a low ratio of real assets to total assets. When it is in full production, it has a high ratio of real assets to total assets. When the project "shuts down" and the firm sells it off for cash, financial assets once again replace real assets. 9. For commercial banks, the ratio is: $107.5/$10,410.9 = 0.010 For non-financial firms, the ratio is: $13,295/$25,164 = 0.528 The difference should be expected primarily because the bulk of the business of financial institutions is to make loans; which are financial assets for financial institutions. a. Primary-market transaction b. Derivative assets 10. c. Investors who wish to hold gold without the complication and cost of physical storage. 1-3 Chapter - 01 The Investment Environment 11. a. A fixed salary means that compensation is (at least in the short run) independent of the firm's success. This salary structure does not tie the managers immediate compensation to the success of the firm. However, the manager might view this as the safest compensation structure and therefore value it more highly. b. A salary that is paid in the form of stock in the firm means that the manager earns the most when the shareholders wealth is maximized. This structure is therefore most likely to align the interests of managers and shareholders. If stock compensation is overdone, however, the manager might view it as overly risky since the managers career is already linked to the firm, and this undiversified exposure would be exacerbated with a large stock position in the firm. c. Call options on shares of the firm create great incentives for managers to contribute to the firms success. In some cases, however, stock options can lead to other agency problems. For example, a manager with numerous call options might be tempted to take on a very risky investment project, reasoning that if the project succeeds the payoff will be huge, while if it fails, the losses are limited to the lost value of the options. Shareholders, in contrast, bear the losses as well as the gains on the project, and might be less willing to assume that risk. 12. Even if an individual shareholder could monitor and improve managers performance, and thereby increase the value of the firm, the payoff would be small, since the ownership share in a large corporation would be very small. For example, if you own $10,000 of GM stock and can increase the value of the firm by 5%, a very ambitious goal, you benefit by only: 0.05 $10,000 = $500 In contrast, a bank that has a multimillion-dollar loan outstanding to the firm has a big stake in making sure that the firm can repay the loan. It is clearly worthwhile for the bank to spend considerable resources to monitor the firm. 13. Mutual funds accept funds from small investors and invest, on behalf of these investors, in the national and international securities markets. Pension funds accept funds and then invest, on behalf of current and future retirees, thereby channeling funds from one sector of the economy to another. Venture capital firms pool the funds of private investors and invest in start-up firms. Banks accept deposits from customers and loan those funds to businesses, or use the funds to buy securities of large corporations. Treasury bills serve a purpose for investors who prefer a low-risk investment. The lower average rate of return compared to stocks is the price investors pay for predictability of investment performance and portfolio value. 14. 1-4 Chapter 01 - The Investment Environment 15. With a top-down investing style, you focus on asset allocation or the broad composition of the entire portfolio, which is the major determinant of overall performance. Moreover, top-down management is the natural way to establish a portfolio with a level of risk consistent with your risk tolerance. The disadvantage of an exclusive emphasis on topdown issues is that you may forfeit the potential high returns that could result from identifying and concentrating in undervalued securities or sectors of the market. With a bottom-up investing style, you try to benefit from identifying undervalued securities. The disadvantage is that you tend to overlook the overall composition of your portfolio, which may result in a non-diversified portfolio or a portfolio with a risk level inconsistent with your level of risk tolerance. In addition, this technique tends to require more active management, thus generating more transaction costs. Finally, your analysis may be incorrect, in which case you will have fruitlessly expended effort and money attempting to beat a simple buy-and-hold strategy. 16. You should be skeptical. If the author actually knows how to achieve such returns, one must question why the author would then be so ready to sell the secret to others. Financial markets are very competitive; one of the implications of this fact is that riches do not come easily. High expected returns require bearing some risk, and obvious bargains are few and far between. Odds are that the only one getting rich from the book is its author. a. The SEC website defines the difference between saving and investing in terms of the investment alternatives or the financial assets the individual chooses to acquire. According to the SEC website, saving is the process of acquiring a safe financial asset and investing is the process of acquiring risky financial assets. b. The economists definition of savings is the difference between income and consumption. Investing is the process of allocating ones savings among available assets, both real assets and financial assets. The SEC definitions actually represent (according the economists definition) two kinds of investment alternatives. 17. 18. As is the case for the SEC definitions (see Problem 17), the SIA defines saving and investing as acquisition of alternative kinds of financial assets. According to the SIA, saving is the process of acquiring safe assets, generally from a bank, while investing is the acquisition of other financial assets, such as stocks and bonds. On the other hand, the definitions in the chapter indicate that saving means spending less than ones income. Investing is the process of allocating ones savings among financial assets, including savings account deposits and money market accounts (saving according to the SIA), other financial assets such as stocks and bonds (investing according to the SIA), as well as real assets. 1-5
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GWU - FINA - 6275
Chapter 02 - Asset Classes and Financial InstrumentsCHAPTER 2: ASSET CLASSES AND FINANCIAL INSTRUMENTSPROBLEM SETS1.Preferred stock is like long-term debt in that it typically promises a fixed payment each year. In this way, it is a perpetuity. Prefer
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Chapter 03 - How Securities are TradedCHAPTER 3: HOW SECURITIES ARE TRADEDPROBLEM SETS 1. 2. Answers to this problem will vary. The SuperDot system expedites the flow of orders from exchange members to the specialists. It allows members to send computer
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Chapter 04 - Mutual Funds and Other Investment CompaniesCHAPTER 4: MUTUAL FUNDS AND OTHER INVESTMENT COMPANIESPROBLEM SETS 1. The unit investment trust should have lower operating expenses. Because the investment trust portfolio is fixed once the trust
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Chapter 05 - Learning About Return and Risk from the Historical RecordCHAPTER 5: LEARNING ABOUT RETURN AND RISK FROM THE HISTORICAL RECORDPROBLEM SETS 1. The Fisher equation predicts that the nominal rate will equal the equilibrium real rate plus the ex
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Chapter 06 - Risk Aversion and Capital Allocation to Risky AssetsCHAPTER 6: RISK AVERSION AND CAPITAL ALLOCATION TO RISKY ASSETSPROBLEM SETS 1. 2. (e) (b) A higher borrowing is a consequence of the risk of the borrowers' default. In perfect markets with
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Chapter 07 - Optimal Risky PortfoliosCHAPTER 7: OPTIMAL RISKY PORTFOLIOSPROBLEM SETS 1. 2. (a) and (e). (a) and (c). After real estate is added to the portfolio, there are four asset classes in the portfolio: stocks, bonds, cash and real estate. Portfol
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Chapter 08 - Index ModelsCHAPTER 8: INDEX MODELSPROBLEM SETS 1. The advantage of the index model, compared to the Markowitz procedure, is the vastly reduced number of estimates required. In addition, the large number of estimates required for the Markow
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Chapter 09 - The Capital Asset Pricing ModelCHAPTER 9: THE CAPITAL ASSET PRICING MODELPROBLEM SETS 1. E(rP) = rf + P [E(rM ) rf ] 18 = 6 + P(14 6) P = 12/8 = 1.5 2. If the security's correlation coefficient with the market portfolio doubles (with all ot
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Chapter 10 - Arbitrage Pricing Theory and Multifactor Models of Risk and ReturnCHAPTER 10: ARBITRAGE PRICING THEORY AND MULTIFACTOR MODELS OF RISK AND RETURNPROBLEM SETS 1. The revised estimate of the expected rate of return on the stock would be the ol
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Chapter 11 - The Efficient Market HypothesisCHAPTER 11: THE EFFICIENT MARKET HYPOTHESISPROBLEM SETS 1. The correlation coefficient between stock returns for two non-overlapping periods should be zero. If not, one could use returns from one period to pre
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Chapter 12 - Behavioral Finance and Technical AnalysisCHAPTER 12: BEHAVIORAL FINANCE AND TECHNICAL ANALYSISPROBLEM SETS 1. Technical analysis can generally be viewed as a search for trends or patterns in market prices. Technical analysts tend to view th
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Chapter 13 - Empirical Evidence on Security ReturnsCHAPTER 13: EMPIRICAL EVIDENCE ON SECURITY RETURNSPROBLEM SETS 1. Even if the single-factor CCAPM (with a consumption-tracking portfolio used as the index) performs better than the CAPM, it is still qui
GWU - FINA - 6275
Chapter 14 - Bond Prices and YieldsCHAPTER 14: BOND PRICES AND YIELDSPROBLEM SETS 1. The bond callable at 105 should sell at a lower price because the call provision is more valuable to the firm. Therefore, its yield to maturity should be higher. Zero c
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Chapter 15 - The Term Structure of Interest RatesCHAPTER 15: THE TERM STRUCTURE OF INTEREST RATESPROBLEM SETS. 1. In general, the forward rate can be viewed as the sum of the market's expectation of the future short rate plus a potential risk (or `liqui
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Chapter 16 - Managing Bond PortfoliosCHAPTER 16: MANAGING BOND PORTFOLIOSPROBLEM SETS 1. While it is true that short-term rates are more volatile than long-term rates, the longer duration of the longer-term bonds makes their prices and their rates of re
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Chapter 17 - Macroeconomic and Industry AnalysisCHAPTER 17: MACROECONOMIC AND INDUSTRY ANALYSISPROBLEM SETS 1. Expansionary (looser) monetary policy to lower interest rates would stimulate both investment and expenditures on consumer durables. Expansion
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Chapter 18 - Equity Valuation ModelsCHAPTER 18: EQUITY VALUATION MODELSPROBLEM SETS 1. Theoretically, dividend discount models can be used to value the stock of rapidly growing companies that do not currently pay dividends; in this scenario, we would be
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Chapter 19 - Financial Statement AnalysisCHAPTER 19: FINANCIAL STATEMENT ANALYSISPROBLEM SETS 1. The major difference in approach of international financial reporting standards and U.S. GAAP accounting stems from the difference between principles and ru
GWU - FINA - 6275
Chapter 20 - Options Markets: IntroductionCHAPTER 20: OPTIONS MARKETS: INTRODUCTIONPROBLEM SETS 1. Options provide numerous opportunities to modify the risk profile of a portfolio. The simplest example of an option strategy that increases risk is invest
GWU - FINA - 6275
Chapter 21 - Option ValuationCHAPTER 21: OPTION VALUATIONPROBLEM SETS 1. The value of a put option also increases with the volatility of the stock. We see this from the put-call parity theorem as follows: P = C S0 + PV(X) + PV(Dividends) Given a value f
GWU - FINA - 6275
Chapter 22 - Futures MarketsCHAPTER 22: FUTURES MARKETSPROBLEM SETS 1. There is little hedging or speculative demand for cement futures, since cement prices are fairly stable and predictable. The trading activity necessary to support the futures market
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Chapter 23 - Futures, Swaps, and Risk ManagementCHAPTER 23: FUTURES, SWAPS, AND RISK MANAGEMENTPROBLEM SETS 1. In formulating a hedge position, a stocks beta and a bonds duration are used similarly to determine the expected percentage gain or loss in th
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Chapter 24 - Portfolio Performance EvaluationCHAPTER 24: PORTFOLIO PERFORMANCE EVALUATIONPROBLEM SETS 1. As established in the following result from the text, the Sharpe ratio depends on both alpha for the portfolio ( P) and the correlation between the
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Chapter 25 - International DiversificationCHAPTER 25: INTERNATIONAL DIVERSIFICATIONPROBLEM SETS 1. International Investing Raises Questions was published in the Wall Street Journal in 1997. Some of the arguments presented in the article may no longer be
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Chapter 26 - Hedge FundsCHAPTER 26: HEDGE FUNDSPROBLEM SETS 1. No, a market-neutral hedge fund would not be a good candidate for an investors entire retirement portfolio because such a fund is not a diversified portfolio. The term marketneutral refers t
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Chapter 27 - The Theory of Active Portfolio ManagementCHAPTER 27: THE THEORY OF ACTIVE PORTFOLIO MANAGEMENTPROBLEM SETS 1. Views about the relative performance of bonds compared to stocks can have a significant impact on how security analysis is conduct
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Chapter 28 - Investment Policy and the Framework of the CFA InstituteCHAPTER 28: INVESTMENT POLICY AND THE FRAMEWORK OF THE CFA INSTITUTEPROBLEM SETS 1. You would advise them to exploit all available retirement tax shelters, such as 403b, 401k, Keogh pl
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IntroductionIntroductionChapter 1Options, Futures, and OtherDerivatives, 7th Edition, Copyright John C. Hull 20081Size of OTC and Exchange-Traded MarketsSize(Figure 1.1, Page 3)Source: Bank for International Settlements. Chart shows total princi
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Mechanics of Futures Markets MarketsChapter 2Options, Futures, and Other Derivatives, 7th Edition, Copyright John C. Hull 20081Futures ContractsAvailableon a wide range of assets Exchange traded Specifications need to be defined: What can be delive
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Hedging Strategies Using Futures FuturesChapter 3Options, Futures, and Other Derivatives, 7th Edition, Copyright John C. Hull 20081Long & Short HedgesAlong futures hedge is appropriate when you know you will purchase an asset in the future and want
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Interest Rates InterestChapter 4Options, Futures, and Other Derivatives 7th Edition, Copyright John C. Hull 20081Types of RatesTreasuryrates LIBOR rates Repo ratesOptions, Futures, and Other Derivatives 7th Edition, Copyright John C. Hull 20082Me
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Determination of Forward and Futures Prices FuturesChapter 5Options, Futures, and Other Derivatives, 7th Edition, Copyright John C. Hull 20081Consumption vs Investment Consumption Assets AssetsInvestmentassets are assets held by significant numbers
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Interest Rate Futures InterestChapter 6Options, Futures, and Other Derivatives, 7th Edition, Copyright John C. Hull 20081Day Count Conventions in the U.S. (Page 129) (PageTreasury Bonds: Actual/Actual (in period) Corporate Bonds: 30/360 Money Market
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SwapsSwapsChapter 7Options, Futures, and OtherDerivatives, 7th Edition, Copyright John C. Hull 20081Nature of SwapsA swap is an agreement to exchangecash flows at specified future timesaccording to certain specified rulesOptions, Futures, and O
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Mechanics of Options Markets MarketsChapter 8Options, Futures, and Other Derivatives, 7th Edition, Copyright John C. Hull 20081Review of Option TypesAcall is an option to buy A put is an option to sell A European option can be exercised only at the
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Properties of Stock Options PropertiesChapter 9Options, Futures, and Other Derivatives, 7th Edition, Copyright John C. Hull 20081Notationc : European call option price p : European put option price S0 : Stock price today K : Strike price T : Life of
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Trading Strategies Involving Options OptionsChapter 10Options, Futures, and Other Derivatives, 7th Edition, Copyright John C. Hull 20081Types of StrategiesTakea position in the option and the underlying Take a position in 2 or more options of the sa
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Binomial Trees BinomialChapter 11Options, Futures, and Other Derivatives, 7th Edition, Copyright John C. Hull 20081A Simple Binomial ModelAstock price is currently $20 In 3 months it will be either $22 or $18Stock Price = $22 Stock price = $20 Stoc
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Wiener Processes and Its Lemma LemmaChapter 12Options, Futures, and Other Derivatives, 7th Edition, Copyright John C. Hull 20081Types of Stochastic ProcessesDiscretetime; discrete variable Discrete time; continuous variable Continuous time; discrete
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The Black-Scholes-Merton Model ModelChapter 13Options, Futures, and Other Derivatives, 7th Edition, Copyright John C. Hull 20081The Stock Price AssumptionConsidera stock whose price is S In a short period of time of length t, the return on the stock
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Employee Stock Options EmployeeChapter 14Options, Futures, and Other Derivatives, 7th Edition, Copyright John C. Hull 20081Nature of Employee Stock Nature Options OptionsEmployeestock options are call options issued by a company on its own stock The
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Options on Stock Indices and Currencies CurrenciesChapter 15Options, Futures, and Other Derivatives, 7th Edition, Copyright John C. Hull 20081Index Options (page 325-335) (pageThemost popular underlying indices in the U.S. are The S&P 100 Index (OEX
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Futures Options FuturesChapter 16Options, Futures, and Other Derivatives, 7th Edition, Copyright John C. Hull 20081Mechanics of Call Futures Mechanics Options OptionsWhen a call futures option is exercised the holder acquires 1. A long position in th
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The Greek Letters TheChapter 17Options, Futures, and Other Derivatives, 7th Edition, Copyright John C. Hull 20081ExampleAbank has sold for $300,000 a European call option on 100,000 shares of a nondividend paying stock S0 = 49, K = 50, r = 5%, = 20%
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Volatility Smiles VolatilityChapter18Options, Futures, and Other Derivatives, 7th Edition, Copyright John C. Hull 20081What is a Volatility Smile? WhatItis the relationship between implied volatility and strike price for options with a certain matu
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Basic Numerical Procedures BasicChapter 19Options, Futures, and Other Derivatives, 7th Edition, Copyright John C. Hull 20081Approaches to Derivatives Approaches Valuation ValuationTrees MonteCarlo simulation Finite difference methodsJohn C. Hull 20
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Value at Risk ValueChapter 20Options, Futures, and Other Derivatives, 7th Edition, Copyright John C. Hull 20081The Question Being Asked in The VaR VaRWhat loss level is such that we are X% confident it will not be exceeded in N business days?20082
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Estimating Volatilities and Correlations CorrelationsChapter 21Options, Futures, and Other Derivatives, 7th Edition, Copyright John C. Hull 20081Standard Approach to Estimating Standard Volatility (page 477) Volatility (page n as the volatility per d
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Credit Risk CreditChapter 22Options, Futures, and Other Derivatives, 7th Edition, Copyright John C. Hull 20081Credit RatingsInthe S&P rating system, AAA is the best rating. After that comes AA, A, BBB, BB, B, CCC, CC, and C The corresponding Moodys
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Credit Derivatives CreditChapter 23Options, Futures, and Other Derivatives 7th Edition, Copyright John C. Hull 20081Credit Default Swaps CreditAhuge market with over $40 trillion of notional principal Buyer of the instrument acquires protection from
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Exotic Options ExoticChapter 24Options, Futures, and Other Derivatives, 7th Edition, Copyright John C. Hull 20081Types of Exotics Package Nonstandard BinaryAmericanoptions Forward start options Compound options Chooser options Barrier optionsoptio
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Weather, Energy, and Insurance Derivatives InsuranceChapter 25Options, Futures, and Other Derivatives, 7th Edition, Copyright John C. Hull 20081Pricing Issues (page 581) (page PricingToa good approximation many underlying variables in insurance, wea
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More on Models and Numerical Procedures NumericalChapter 26Options, Futures, and Other Derivatives, 7th Edition, Copyright John C. Hull 20081Three Alternatives to Geometric Three Brownian Motion BrownianConstantelasticity of variance (CEV) Mixed Jum
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Martingales and Measures MartingalesChapter 27Options, Futures, and Other Derivatives, 7th Edition, Copyright John C. Hull 20081Derivatives Dependent on a Single Derivatives Underlying Variable UnderlyingConsider a variable (not necessarily the price
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Interest Rate Derivatives: The Standard Market Models StandardChapter 28Options, Futures, and Other Derivatives, 7th Edition, Copyright John C. Hull 20081The Complications in Valuing The Interest Rate Derivatives (page 647) (page Weneed a whole term
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Quanto, Timing, and Convexity Adjustments ConvexityChapter 29Options, Futures, and Other Derivatives, 7th Edition, Copyright John C. Hull 20081Forward Yields and Forward Forward Prices Wedefine the forward yield on a bond as the yield calculated fro
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Interest Rate Derivatives: Model of the Short Rate ModelChapter 30Options, Futures, and Other Derivatives, 7th Edition, Copyright John C. Hull 20081Term Structure ModelsBlacksmodel is concerned with describing the probability distribution of a singl
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Interest Rate Derivatives: HJM and LMM HJMChapter 31Options, Futures, and Other Derivatives, 7th Edition, Copyright John C. Hull 20081HJM Model: Notation HJMP(t,T ): price at time t of a discount bond with principal of $1 maturing at T Wt : vector of
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Swaps Revisited SwapsChapter 32Options, Futures, and Other Derivatives, 7th Edition, Copyright John C. Hull 20081Valuation of SwapsThestandard approach is to assume that forward rates will be realized This works for plain vanilla interest rate and p
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Real Options RealChapter 33Options, Futures, and Other Derivatives, 7th Edition, Copyright John C. Hull 20081An Alternative to the NPV Rule An for Capital Investments forDefinestochastic processes for the key underlying variables and use risk-neutra
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Derivatives Mishaps and What We Can Learn From Them WeChapter 34Options, Futures, and Other Derivatives, 7th Edition, Copyright John C. Hull 20081Big Losses by Financial Big Institutions Institutions AlliedIrish Bank ($700 million) Amaranth ($6 bill