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s09a-02-butterfly
s09a-02-butterfly

Binomial Trees
Binomial Trees

... If you can replicate, you can hedge: Long the option contract, short the replicating portfolio. The replication portfolio is composed of stock and bond. Since bond only generates parallel shifts in payoff and does not play any role in offsetting/hedging risks, it is the stock that really plays the h ...
Option Prices and the Cross Section of Equity Returns
Option Prices and the Cross Section of Equity Returns

... [email protected]  ...
Options on Futures Contracts - Feuz Cattle and Beef Market Analysis
Options on Futures Contracts - Feuz Cattle and Beef Market Analysis

... meet margin calls if the underlying futures contract price moves below the option strike price. Receives the option premium after the option expires. ...
RMTF - The Greeks - Society of Actuaries
RMTF - The Greeks - Society of Actuaries

... market prices when using a lognormal pricing model which assumes constant volatility (BlackScholes, e.g.), The reasons for this are that the market does reflect, to some extent, the nonnormal distribution of returns, and the expectation for future volatility that is different from historical volatil ...
an investor`s guide to index futures
an investor`s guide to index futures

... In recent years, derivatives have become increasingly important in the field of finance. Futures and options, the most popular derivatives are now actively traded on many exchanges. Forward contracts, swaps, and many other derivative instruments are regularly traded both in the exchanges and in the ...
Binomial Model
Binomial Model

The Black-Scholes-Merton Approach to Pricing Options
The Black-Scholes-Merton Approach to Pricing Options

... Thus, if we invest w1 = Delta units in the stock and w2 = W − Delta ∗ s in the bond, so the total value of the portfolio will change very little for small changes in the stock price. We remark that such a portfolio and hedge is useful for example when a bank sells a call option. The proceeds from se ...
Binomial lattice model for stock prices
Binomial lattice model for stock prices

... Now consider a European call option for one share of the stock, with strike price K, and expiration date t = 1. The payoff to the holder of this option at time t = 1 is a random variable given by C1 = (S1 − K)+ ; the buyer of such an option is thus betting that the stock price will be above K at the ...
OPTIONS, GREEKS, AND RISK MANAGEMENT Jelena Paunović *
OPTIONS, GREEKS, AND RISK MANAGEMENT Jelena Paunović *

... Options are financial derivatives representing a contract which gives the right to the holder, but not the obligation, to buy or sell an underlying asset at a pre-defined strike price during a certain period of time. These derivative contracts can derive their value from almost any underlying asset ...
colour ppt
colour ppt

... While there are similarities between exchange-traded options and futures contract, there are also some important differences. • An option owner-an investor with a long position- can simply allow the option to die, unexercised. The same opportunity is not available to an investor with a long position ...
Lachov G
Lachov G

... The Bulgarian land market has been under development for the past 15 years. Many of the actual owners have got back their land but the problems with land market, land pricing and opportunity to invest in agricultural land still exist. At the moment, sale transactions in Bulgarian land exist only bet ...
Chapter Five
Chapter Five

... but the stock price has remained the same. Explain three factors that could cause the option premium to change while the stock price remains unchanged. ANSWER: Interest rates could have changed, time passed, and anticipated future volatility might have changed. It is also possible that dividend expe ...
im09
im09

... charge a premium to provide this insurance. Financial institutions can use options to hedge balance sheet risk, much as described above for futures contracts. Option prices rise when the price of the underlying security is more volatile or when the expiration date is further in the future, because t ...
Chapter 6
Chapter 6

... outcomes in other markets. ...
Installment options and static hedging
Installment options and static hedging

... continuation boundary. Figure 4 shows the distribution of P&L under the riskneutral measure; this turns out to be close to the uniform distribution. Of course this distribution would be different under different price modelling assumptions, but the main point is that under any reasonable model the e ...
Options for Enhancing Risk-Adjusted Returns Covered Call
Options for Enhancing Risk-Adjusted Returns Covered Call

Risk-neutral modelling with exponential Levy processes - Math-UMN
Risk-neutral modelling with exponential Levy processes - Math-UMN

... Here are a few cross sections of σ imp (T, K) vs. K/S (moneyness) for a given T for a few different commodity futures markets. ...
chapter 2: the structure of options markets
chapter 2: the structure of options markets

... Exercise limits are restrictions on the number of options that can be exercised by an investor in a given day or series of days. ...
Share Based Employee Benefits
Share Based Employee Benefits

... Number of options granted during the year Number of options forfeited / lapsed during the year Number of options vested during the year Number of options exercised during the year Number of shares arising as a result of exercise of options Money realised by exercise of options (INR), if Scheme is im ...
Derivative (finance)
Derivative (finance)

Derivative (finance)
Derivative (finance)

option to purchase right of pre-emption (first refusal)
option to purchase right of pre-emption (first refusal)

... offer open for a period of time. It is possible that a purchaser could give a seller an option to purchase a property for a specified time but this is not the norm. ...
The Greek Letters
The Greek Letters

... Each of the Greek letters measures a different dimension to the risk in an option position. The aim of a trader is to manage the Greeks so that all risks are acceptable. A bank has sold for $300,000 a European call option on 100,000 shares of a non-dividend paying stock. The points that will be made ...
bill analysis - Texas Legislature Online
bill analysis - Texas Legislature Online

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Option (finance)

In finance, an option is a contract which gives the buyer (the owner or holder) the right, but not the obligation, to buy or sell an underlying asset or instrument at a specified strike price on or before a specified date, depending on the form of the option. The strike price may be set by reference to the spot price (market price) of the underlying security or commodity on the day an option is taken out, or it may be fixed at a discount or at a premium. The seller has the corresponding obligation to fulfill the transaction – that is to sell or buy – if the buyer (owner) ""exercises"" the option. An option that conveys to the owner the right to buy something at a specific price is referred to as a call; an option that conveys the right of the owner to sell something at a specific price is referred to as a put. Both are commonly traded, but for clarity, the call option is more frequently discussed.The seller may grant an option to a buyer as part of another transaction, such as a share issue or as part of an employee incentive scheme, otherwise a buyer would pay a premium to the seller for the option. A call option would normally be exercised only when the strike price is below the market value of the underlaying asset at that time, while a put option would normally be exercised only when the strike price is above the market value. When an option is exercised, the cost to the buyer of the asset acquired is the strike price plus the premium, if any. When the option expiration date passes without the option being exercised, then the option expires and the buyer would forfeit the premium to the seller. In any case, the premium is income to the seller, and normally a capital loss to the buyer.The owner of an option may on-sell the option to a third party in a secondary market, in either an over-the-counter transaction or on an options exchange, depending on the type of option and its terms. The market price of an American-style option normally closely follows that of the underlying stock; it being the difference between the market price of the stock and the strike price of the option. The actual market price of the option may vary to some degree depending on a number of factors, such as a significant option holder may need to sell the option as the expiry date is approaching and he does not have the financial resources to exercise the option, or a buyer in the market is trying to amass a large option holding. The ownership of an option does not generally entitle the holder to any rights associated with the underlying asset, such as voting rights or to receive any income from the underlying asset, such as a dividend.
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