adobe theory compatible[1]
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OPTION PRICINGOPTION PRICINGadobe SYSTEMS INC.adobe SYSTEMS INC.
Olga IvanovaOlga IvanovaAlaina HobbsAlaina HobbsMike TiptonMike Tipton
Adelaide YegoAdelaide YegoYun YunYun Yun
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COMPANY overviewCOMPANY overview
Established in 1982
Founders included: Charles Geschke andJohn Wamock
Headquartered in San Jose California
Operations are conducted in the Americas,Africa, Asia, Europe and the Middle East.
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COMPANY overviewCOMPANY overview
Industry: Application Software
Trades on Nasdaq: ADBE
Main services offered:Content Authorizing
Online Marketing
Customer Experience Management
Ethical Standards: One of the worlds
most ethical company by Ethisphere
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COMPANY overviewCOMPANY overview
Adobe is a software design company
Mostly known for it MultimediaPlatform of the name Flash.
Adobe Flash is used to add animationand video on web pages.
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OPTIONS PRICINGOPTIONS PRICING
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Factors of influenceFactors of influence
Changein rice
Strikerice or
K
Time UntilExpiration
Volatility Dividends Risk-Free
rate
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Factors of influenceFactors of influence
A change in price of the underlying security
Changes in the underlying security price can increaseor decrease the value of an option. These price changes
have opposite effects on calls and puts.
Strike price
The strike price determines whether or not an option
has any intrinsic value. An option's premium (intrinsicvalue plus time value) generally increases as the option
becomes further in the money, and decreases as theoption becomes more deeply out of the money.
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Time until expiration
Generally, as expiration approaches, the levels of anoption's time value, for both puts and calls, decreases or"erodes."
Volatility of the underlying security
Volatility is simply a measure of risk (uncertainty), orvariability of price of an option's underlying security. Highervolatility estimates reflect greater expected fluctuations (ineither direction) in underlying price levels. Generally, option
premiums are higher during periods of volatile futures prices.Because there is increased price risk associated with avolatile market, the cost of obtaining the insurance throughoptions is also greater .
Factors of influenceFactors of influence
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Dividends and Risk-free interest rate
This effect reflects the "cost of carry" of shares in an
underlying security -- the interest that might be paid for
margin or received from alternative investments (such as a
Treasury bill), and the dividends that would be received
by owning shares outright.
Factors of influenceFactors of influence
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THE FACTORS THAT INFLUENCETHE FACTORS THAT INFLUENCE
OPTIONS PREMIUMOPTIONS PREMIUM
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CAPITAL STRUCTURE &CAPITAL STRUCTURE &
LEVERAGELEVERAGE
Black- Scholes vs. Geske: while Black- Scholes
model assumes the equitys return volatility is
not dependent on the equity level, Geskes
model implies that the volatility of the equitys
return depends directly on leverage, and isinversely related to the individual stock level.
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EXECUTIVE STOCK OPTIONEXECUTIVE STOCK OPTION
EXERCISEEXERCISE
Adobe awards stock options to its employees in
order to bring forward the interests of the
company and its stockholders by providing an
incentive to attract, retain and reward such
employees by motivating them to contribute to
the growth and profitability of the company.
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foreign EXCHANGEforeign EXCHANGE
OPTION CONTRACTSOPTION CONTRACTS
Maturity dates range from 1 month to 12 months
Yen, British Pound and Euro
As of December 3, 2010, the total value of outstanding
contracts was $1,035.8 millions, including $570.1
millions in Euro, $226.6 millions in Yen and $243.1
millions in other foreign currencies.
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OPTION STRATEGIES ATOPTION STRATEGIES AT
ADOBEADOBE
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OPTIONSOPTIONS
Call- The right to buy an asset at a certainstrike price K
Put- The right to sell an asset at a certainstrike price K
Note that one contract is worth 100 shares
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OPTIONS STRATEGIESOPTIONS STRATEGIES
Bear Bull Butterfly
tra le tra ngle trip
Strap
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BEAR SPREADBEAR SPREAD
Profit from a decrease inProfit from a decrease inthe price of the stockthe price of the stock
Buy a call with strikeBuy a call with strike
price K2 and sell a callprice K2 and sell a callwith strike price K1< K2with strike price K1< K2
Buy a put with strikeBuy a put with strikeprice K2 and sell a putprice K2 and sell a putwith strike price K1< K2with strike price K1< K2
Total Profi t
-10
-5
0
5
10
15
20
25
1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46
Total Profi t
General Profit structure
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Bull SPREADBull SPREAD
Profit from an increaseProfit from an increasein the price of thein the price of thestockstock
Buy a call with strikeBuy a call with strikeprice K1 and sell a callprice K1 and sell a callwith strike price K2>with strike price K2>K1K1
Buy a put with strikeBuy a put with strikeprice K1 and sell a putprice K1 and sell a putwith strike price K2>with strike price K2>K1K1
Total Profit
-25
-20
-15
-10
-5
0
5
1 4 7 10131619222528313437 40 434649
Total Profit
General Profit structure
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ButterflyButterfly
Profit when the stock priceProfit when the stock priceremains close to theremains close to themiddle strike pricemiddle strike price
Buy a call with strike priceBuy a call with strike price
K1, sell 2 calls with strikeK1, sell 2 calls with strikeprice K2, and buy anotherprice K2, and buy anothercall with strike price K3.call with strike price K3.K1
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StraddleStraddle
Profit from a largeProfit from a largevariation in thevariation in thestock price (positivestock price (positive
or negative)or negative) Buy a call and a putBuy a call and a put
with the same strikewith the same strikeprice K and theprice K and thesame expirationsame expirationdate.date.
Total profit
-5
0
5
10
15
20
25
30
35
1 5 9 13 17 21 25 29 33 37 41 45 49 53
Total Profit
General Profit structure
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StrangleStrangle
Profit from a largevariation in the stock
price (positive ornegative). Need
higher shift in pricethan we needed to
profit from a Straddle
Buy a call with strike
price K2, and buy aput with strike priceK1< K2
Total profit
-5
0
5
10
15
20
25
30
35
1 5 9 13 17 21 25 29 33 37 41 45 49 53
Total Profit
General Profit structure
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StripStrip
Profit more from aProfit more from a
decrease in Stockdecrease in Stockprice than anprice than an
increase.increase.
Buy one call atBuy one call at
Strike price K andStrike price K andbuy two puts atbuy two puts at
strike price K.strike price K.
Total Profit
-10
0
10
20
30
40
50
60
70
1 5 9 13 17 21 25 29 33 37 41 45 49 53
Total Profit
General Profit structure
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StrapStrap
Profit more from anProfit more from an
increase in theincrease in the
stock price than astock price than adecreasedecrease
Buy two calls atBuy two calls atStrike price K andStrike price K and
buy a put at strikebuy a put at strike
price K.price K.
Total Profit
-5
0
5
10
15
20
25
30
35
40
45
1 5 9 13 17 21 25 29 33 37 41 45 49 53
Total Profit
General Profit structure
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resultsresults
The options that we used expired on April 15th at aclosing stock price of $34.51
The Butterfly strategy was the most profitable since thestock price did not shift far away from the original stock
price of $34.37
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ARBITRAGE OPPORTUNITIESARBITRAGE OPPORTUNITIES
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Lower/upper boundsLower/upper bounds
Profitable arbitrage opportunities are present ifan option price is above the upper bound or belowthe lower bound.
To calculate the upper and lower bounds of a non-dividend-paying American call option, we use theformula:
max(So-Ke-rt,0) C So
To calculate the upper and lower bounds of a non-dividend-paying American put option, we use theformula:
max(K-So,0) P K
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Lower/upper boundsLower/upper bounds
EXAMPLEEXAMPLE
Call Option: $2.75; So=$34.37; K=$32.00; r=0.78% (1-year LIBOR rate); T=1 month (Expiration May 20, 2011)
Lower Bound:max(So-Ke-rt,0) max(34.37-32e-(0.0078x1/12),0)max($2.58,0)
The lower bound of $2.58 is not violated because the optionis priced at $2.75.
Upper Bound: So $34.37The upper bound is not violated because the option is
priced under the upper bound, which is the stock price, of$34.37.
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PUTPUT--CALL PARITYCALL PARITY
The put-call parity is a formula that shows therelationship in the pricing of call options and putoptions.
The following formula can be used to find the put-callparity on Adobes stock options:
So-K C-P So-Ke-rt.
On the call option examples given above, thecorresponding put options should fall within the pricerange: C+ Ke-rt-So P C+K-So.
Similarly, for the put option examples given above,the corresponding call options should be pricedwithin the range: So-K+P C So- Ke-rt+P.
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PUTPUT--CALL PARITY eXAMPLECALL PARITY eXAMPLE
Call Option: $2.75; So=$34.37; K=$32.00;r=0.78% (1-year LIBOR rate); T=1 month(Expiration May 20, 2011)
The corresponding put option should be pricedwithin the range: C+ Ke-rt-So P C+K-So
$2.75+32.00e-0.0078x(1/12)-34.37 P$2.75+32.00-34.37 $0.17 P $0.38
The current put option is priced at $0.55 whichis outside the range it should be. Therefore, anarbitrage opportunity is present.
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CONCLUSIONCONCLUSION
While arbitrage opportunities are sometimes presentWhile arbitrage opportunities are sometimes presentin the market, the market is usually still efficientin the market, the market is usually still efficientonce transaction costs are taken into consideration.once transaction costs are taken into consideration.
In cases where profitable arbitrage exists even afterIn cases where profitable arbitrage exists even aftertransaction costs are accounted for, arbitragerstransaction costs are accounted for, arbitragersquickly act on these market inefficiencies and thequickly act on these market inefficiencies and thearbitrage opportunities quickly disappear until thearbitrage opportunities quickly disappear until themarket returns to normal.market returns to normal.