13. Derivative Instruments. Forward. Futures. Options. Swaps
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Up to EUR 3,500,000.00 7% Fixed Rate Bonds Due 6 April 2026 ISIN
Up to EUR 3,500,000.00 7% Fixed Rate Bonds due 6 April 2026 ISIN IT0005440976 Terms and Conditions Executed by EPizza S.p.A. 4126-6190-7500.7 This Terms and Conditions are dated 6 April 2021. EPizza S.p.A., a company limited by shares incorporated in Italy as a società per azioni, whose registered office is at Piazza Castello n. 19, 20123 Milan, Italy, enrolled with the companies’ register of Milan-Monza-Brianza- Lodi under No. and fiscal code No. 08950850969, VAT No. 08950850969 (the “Issuer”). *** The issue of up to EUR 3,500,000.00 (three million and five hundred thousand /00) 7% (seven per cent.) fixed rate bonds due 6 April 2026 (the “Bonds”) was authorised by the Board of Directors of the Issuer, by exercising the powers conferred to it by the Articles (as defined below), through a resolution passed on 26 March 2021. The Bonds shall be issued and held subject to and with the benefit of the provisions of this Terms and Conditions. All such provisions shall be binding on the Issuer, the Bondholders (and their successors in title) and all Persons claiming through or under them and shall endure for the benefit of the Bondholders (and their successors in title). The Bondholders (and their successors in title) are deemed to have notice of all the provisions of this Terms and Conditions and the Articles. Copies of each of the Articles and this Terms and Conditions are available for inspection during normal business hours at the registered office for the time being of the Issuer being, as at the date of this Terms and Conditions, at Piazza Castello n. -
How Much Do Banks Use Credit Derivatives to Reduce Risk?
How much do banks use credit derivatives to reduce risk? Bernadette A. Minton, René Stulz, and Rohan Williamson* June 2006 This paper examines the use of credit derivatives by US bank holding companies from 1999 to 2003 with assets in excess of one billion dollars. Using the Federal Reserve Bank of Chicago Bank Holding Company Database, we find that in 2003 only 19 large banks out of 345 use credit derivatives. Though few banks use credit derivatives, the assets of these banks represent on average two thirds of the assets of bank holding companies with assets in excess of $1 billion. To the extent that banks have positions in credit derivatives, they tend to be used more for dealer activities than for hedging activities. Nevertheless, a majority of the banks that use credit derivative are net buyers of credit protection. Banks are more likely to be net protection buyers if they engage in asset securitization, originate foreign loans, and have lower capital ratios. The likelihood of a bank being a net protection buyer is positively related to the percentage of commercial and industrial loans in a bank’s loan portfolio and negatively or not related to other types of bank loans. The use of credit derivatives by banks is limited because adverse selection and moral hazard problems make the market for credit derivatives illiquid for the typical credit exposures of banks. *Respectively, Associate Professor, The Ohio State University; Everett D. Reese Chair of Banking and Monetary Economics, The Ohio State University and NBER; and Associate Professor, Georgetown University. We are grateful to Jim O’Brien and Mark Carey for discussions. -
Finance: a Quantitative Introduction Chapter 9 Real Options Analysis
Investment opportunities as options The option to defer More real options Some extensions Finance: A Quantitative Introduction Chapter 9 Real Options Analysis Nico van der Wijst 1 Finance: A Quantitative Introduction c Cambridge University Press Investment opportunities as options The option to defer More real options Some extensions 1 Investment opportunities as options 2 The option to defer 3 More real options 4 Some extensions 2 Finance: A Quantitative Introduction c Cambridge University Press Investment opportunities as options Option analogy The option to defer Sources of option value More real options Limitations of option analogy Some extensions The essential economic characteristic of options is: the flexibility to exercise or not possibility to choose best alternative walk away from bad outcomes Stocks and bonds are passively held, no flexibility Investments in real assets also have flexibility, projects can be: delayed or speeded up made bigger or smaller abandoned early or extended beyond original life-time, etc. 3 Finance: A Quantitative Introduction c Cambridge University Press Investment opportunities as options Option analogy The option to defer Sources of option value More real options Limitations of option analogy Some extensions Real Options Analysis Studies and values this flexibility Real options are options where underlying value is a real asset not a financial asset as stock, bond, currency Flexibility in real investments means: changing cash flows along the way: profiting from opportunities, cutting off losses Discounted -
Implied Volatility Modeling
Implied Volatility Modeling Sarves Verma, Gunhan Mehmet Ertosun, Wei Wang, Benjamin Ambruster, Kay Giesecke I Introduction Although Black-Scholes formula is very popular among market practitioners, when applied to call and put options, it often reduces to a means of quoting options in terms of another parameter, the implied volatility. Further, the function σ BS TK ),(: ⎯⎯→ σ BS TK ),( t t ………………………………(1) is called the implied volatility surface. Two significant features of the surface is worth mentioning”: a) the non-flat profile of the surface which is often called the ‘smile’or the ‘skew’ suggests that the Black-Scholes formula is inefficient to price options b) the level of implied volatilities changes with time thus deforming it continuously. Since, the black- scholes model fails to model volatility, modeling implied volatility has become an active area of research. At present, volatility is modeled in primarily four different ways which are : a) The stochastic volatility model which assumes a stochastic nature of volatility [1]. The problem with this approach often lies in finding the market price of volatility risk which can’t be observed in the market. b) The deterministic volatility function (DVF) which assumes that volatility is a function of time alone and is completely deterministic [2,3]. This fails because as mentioned before the implied volatility surface changes with time continuously and is unpredictable at a given point of time. Ergo, the lattice model [2] & the Dupire approach [3] often fail[4] c) a factor based approach which assumes that implied volatility can be constructed by forming basis vectors. Further, one can use implied volatility as a mean reverting Ornstein-Ulhenbeck process for estimating implied volatility[5]. -
Tax Treatment of Derivatives
United States Viva Hammer* Tax Treatment of Derivatives 1. Introduction instruments, as well as principles of general applicability. Often, the nature of the derivative instrument will dictate The US federal income taxation of derivative instruments whether it is taxed as a capital asset or an ordinary asset is determined under numerous tax rules set forth in the US (see discussion of section 1256 contracts, below). In other tax code, the regulations thereunder (and supplemented instances, the nature of the taxpayer will dictate whether it by various forms of published and unpublished guidance is taxed as a capital asset or an ordinary asset (see discus- from the US tax authorities and by the case law).1 These tax sion of dealers versus traders, below). rules dictate the US federal income taxation of derivative instruments without regard to applicable accounting rules. Generally, the starting point will be to determine whether the instrument is a “capital asset” or an “ordinary asset” The tax rules applicable to derivative instruments have in the hands of the taxpayer. Section 1221 defines “capital developed over time in piecemeal fashion. There are no assets” by exclusion – unless an asset falls within one of general principles governing the taxation of derivatives eight enumerated exceptions, it is viewed as a capital asset. in the United States. Every transaction must be examined Exceptions to capital asset treatment relevant to taxpayers in light of these piecemeal rules. Key considerations for transacting in derivative instruments include the excep- issuers and holders of derivative instruments under US tions for (1) hedging transactions3 and (2) “commodities tax principles will include the character of income, gain, derivative financial instruments” held by a “commodities loss and deduction related to the instrument (ordinary derivatives dealer”.4 vs. -
Show Me the Money: Option Moneyness Concentration and Future Stock Returns Kelley Bergsma Assistant Professor of Finance Ohio Un
Show Me the Money: Option Moneyness Concentration and Future Stock Returns Kelley Bergsma Assistant Professor of Finance Ohio University Vivien Csapi Assistant Professor of Finance University of Pecs Dean Diavatopoulos* Assistant Professor of Finance Seattle University Andy Fodor Professor of Finance Ohio University Keywords: option moneyness, implied volatility, open interest, stock returns JEL Classifications: G11, G12, G13 *Communications Author Address: Albers School of Business and Economics Department of Finance 901 12th Avenue Seattle, WA 98122 Phone: 206-265-1929 Email: [email protected] Show Me the Money: Option Moneyness Concentration and Future Stock Returns Abstract Informed traders often use options that are not in-the-money because these options offer higher potential gains for a smaller upfront cost. Since leverage is monotonically related to option moneyness (K/S), it follows that a higher concentration of trading in options of certain moneyness levels indicates more informed trading. Using a measure of stock-level dollar volume weighted average moneyness (AveMoney), we find that stock returns increase with AveMoney, suggesting more trading activity in options with higher leverage is a signal for future stock returns. The economic impact of AveMoney is strongest among stocks with high implied volatility, which reflects greater investor uncertainty and thus higher potential rewards for informed option traders. AveMoney also has greater predictive power as open interest increases. Our results hold at the portfolio level as well as cross-sectionally after controlling for liquidity and risk. When AveMoney is calculated with calls, a portfolio long high AveMoney stocks and short low AveMoney stocks yields a Fama-French five-factor alpha of 12% per year for all stocks and 33% per year using stocks with high implied volatility. -
Straddles and Strangles to Help Manage Stock Events
Webinar Presentation Using Straddles and Strangles to Help Manage Stock Events Presented by Trading Strategy Desk 1 Fidelity Brokerage Services LLC ("FBS"), Member NYSE, SIPC, 900 Salem Street, Smithfield, RI 02917 690099.3.0 Disclosures Options’ trading entails significant risk and is not appropriate for all investors. Certain complex options strategies carry additional risk. Before trading options, please read Characteristics and Risks of Standardized Options, and call 800-544- 5115 to be approved for options trading. Supporting documentation for any claims, if applicable, will be furnished upon request. Examples in this presentation do not include transaction costs (commissions, margin interest, fees) or tax implications, but they should be considered prior to entering into any transactions. The information in this presentation, including examples using actual securities and price data, is strictly for illustrative and educational purposes only and is not to be construed as an endorsement, or recommendation. 2 Disclosures (cont.) Greeks are mathematical calculations used to determine the effect of various factors on options. Active Trader Pro PlatformsSM is available to customers trading 36 times or more in a rolling 12-month period; customers who trade 120 times or more have access to Recognia anticipated events and Elliott Wave analysis. Technical analysis focuses on market action — specifically, volume and price. Technical analysis is only one approach to analyzing stocks. When considering which stocks to buy or sell, you should use the approach that you're most comfortable with. As with all your investments, you must make your own determination as to whether an investment in any particular security or securities is right for you based on your investment objectives, risk tolerance, and financial situation. -
Derivative Securities
2. DERIVATIVE SECURITIES Objectives: After reading this chapter, you will 1. Understand the reason for trading options. 2. Know the basic terminology of options. 2.1 Derivative Securities A derivative security is a financial instrument whose value depends upon the value of another asset. The main types of derivatives are futures, forwards, options, and swaps. An example of a derivative security is a convertible bond. Such a bond, at the discretion of the bondholder, may be converted into a fixed number of shares of the stock of the issuing corporation. The value of a convertible bond depends upon the value of the underlying stock, and thus, it is a derivative security. An investor would like to buy such a bond because he can make money if the stock market rises. The stock price, and hence the bond value, will rise. If the stock market falls, he can still make money by earning interest on the convertible bond. Another derivative security is a forward contract. Suppose you have decided to buy an ounce of gold for investment purposes. The price of gold for immediate delivery is, say, $345 an ounce. You would like to hold this gold for a year and then sell it at the prevailing rates. One possibility is to pay $345 to a seller and get immediate physical possession of the gold, hold it for a year, and then sell it. If the price of gold a year from now is $370 an ounce, you have clearly made a profit of $25. That is not the only way to invest in gold. -
Derivative Securities, Fall 2012 – Homework 3. Distributed 10/10
Derivative Securities, Fall 2012 { Homework 3. Distributed 10/10. This HW set is long, so I'm allowing 3 weeks: it is due by classtime on 10/31. Typos in pbm 3 (ambiguity in the payoff of a squared call) and pbm 6 (inconsistent notation for the dividend rate) have been corrected here. Problem 1 provides practice with lognormal statistics. Problems 2-6 explore the conse- quences of our formula for the value of an option as the discounted risk-neutral expected payoff. Problem 7 makes sure you have access to a numerical tool for playing with the Black-Scholes formula and the associated \Greeks." Problem 8 reinforces the notion of \implied volatility." Convention: when we say a process Xt is \lognormal with drift µ and volatility σ" we mean 2 ln Xt − ln Xs is Gaussian with mean µ(t − s) and variance σ (t − s) for all s < t; here µ and σ are constant. In this problem set, Xt will be either a stock price or a forward price. The interest rate is always r, assumed constant. (1) Suppose a stock price st is lognormal with drift µ and volatility σ, and the stock price now is s0. (a) Give a 95% confidence interval for sT , using the fact that with 95% confidence, a Gaussian random variable lies within 1:96 standard deviations of its mean. (b) Give the mean and variance of sT . (c) Give a formula for the likelihood that a call with strike K and maturity T will be in-the-money at maturity. -
Inflation Derivatives: Introduction One of the Latest Developments in Derivatives Markets Are Inflation- Linked Derivatives, Or, Simply, Inflation Derivatives
Inflation-indexed Derivatives Inflation derivatives: introduction One of the latest developments in derivatives markets are inflation- linked derivatives, or, simply, inflation derivatives. The first examples were introduced into the market in 2001. They arose out of the desire of investors for real, inflation-linked returns and hedging rather than nominal returns. Although index-linked bonds are available for those wishing to have such returns, as we’ve observed in other asset classes, inflation derivatives can be tailor- made to suit specific requirements. Volume growth has been rapid during 2003, as shown in Figure 9.4 for the European market. 4000 3000 2000 1000 0 Jul 01 Jul 02 Jul 03 Jan 02 Jan 03 Sep 01 Sep 02 Mar 02 Mar 03 Nov 01 Nov 02 May 01 May 02 May 03 Figure 9.4 Inflation derivatives volumes, 2001-2003 Source: ICAP The UK market, which features a well-developed index-linked cash market, has seen the largest volume of business in inflation derivatives. They have been used by market-makers to hedge inflation-indexed bonds, as well as by corporates who wish to match future liabilities. For instance, the retail company Boots plc added to its portfolio of inflation-linked bonds when it wished to better match its future liabilities in employees’ salaries, which were assumed to rise with inflation. Hence, it entered into a series of 1 Inflation-indexed Derivatives inflation derivatives with Barclays Capital, in which it received a floating-rate, inflation-linked interest rate and paid nominal fixed- rate interest rate. The swaps ranged in maturity from 18 to 28 years, with a total notional amount of £300 million. -
Empirical Properties of Straddle Returns
EDHEC RISK AND ASSET MANAGEMENT RESEARCH CENTRE 393-400 promenade des Anglais 06202 Nice Cedex 3 Tel.: +33 (0)4 93 18 32 53 E-mail: [email protected] Web: www.edhec-risk.com Empirical Properties of Straddle Returns December 2008 Felix Goltz Head of applied research, EDHEC Risk and Asset Management Research Centre Wan Ni Lai IAE, University of Aix Marseille III Abstract Recent studies find that a position in at-the-money (ATM) straddles consistently yields losses. This is interpreted as evidence for the non-redundancy of options and as a risk premium for volatility risk. This paper analyses this risk premium in more detail by i) assessing the statistical properties of ATM straddle returns, ii) linking these returns to exogenous factors and iii) analysing the role of straddles in a portfolio context. Our findings show that ATM straddle returns seem to follow a random walk and only a small percentage of their variation can be explained by exogenous factors. In addition, when we include the straddle in a portfolio of the underlying asset and a risk-free asset, the resulting optimal portfolio attributes substantial weight to the straddle position. However, the certainty equivalent gains with respect to the presence of a straddle in a portfolio are small and probably do not compensate for transaction costs. We also find that a high rebalancing frequency is crucial for generating significant negative returns and portfolio benefits. Therefore, from an investor's perspective, straddle trading does not seem to be an attractive way to capture the volatility risk premium. JEL Classification: G11 - Portfolio Choice; Investment Decisions, G12 - Asset Pricing, G13 - Contingent Pricing EDHEC is one of the top five business schools in France. -
Credit Derivatives
3 Credit Derivatives CHAPTER 7 Credit derivatives Collaterized debt obligation Credit default swap Credit spread options Credit linked notes Risks in credit derivatives Credit Derivatives •A credit derivative is a financial instrument whose value is determined by the default risk of the principal asset. •Financial assets like forward, options and swaps form a part of Credit derivatives •Borrowers can default and the lender will need protection against such default and in reality, a credit derivative is a way to insure such losses Credit Derivatives •Credit default swaps (CDS), total return swap, credit default swap options, collateralized debt obligations (CDO) and credit spread forwards are some examples of credit derivatives •The credit quality of the borrower as well as the third party plays an important role in determining the credit derivative’s value Credit Derivatives •Credit derivatives are fundamentally divided into two categories: funded credit derivatives and unfunded credit derivatives. •There is a contract between both the parties stating the responsibility of each party with regard to its payment without resorting to any asset class Credit Derivatives •The level of risk differs in different cases depending on the third party and a fee is decided based on the appropriate risk level by both the parties. •Financial assets like forward, options and swaps form a part of Credit derivatives •The price for these instruments changes with change in the credit risk of agents such as investors and government Credit derivatives Collaterized debt obligation Credit default swap Credit spread options Credit linked notes Risks in credit derivatives Collaterized Debt obligation •CDOs or Collateralized Debt Obligation are financial instruments that banks and other financial institutions use to repackage individual loans into a product sold to investors on the secondary market.