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OPTIONS – PROBLEMS TO BUILD CONCEPT UNDERSTANDING 1. Option Function: a. What happens if a long call is exercised? Explain. b. What happens if a long put is exercised? Explain. c. What happens if a...

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OPTIONS – PROBLEMS TO BUILD CONCEPT UNDERSTANDING
1. Option Function:
a. What happens if a long call is exercised? Explain.
. What happens if a long put is exercised? Explain.
c. What happens if a short call is exercised? Explain.
d. What happens if a short put is exercised? Explain.
2. Intrinsic and Extrinsic Value:
Look at the following table and compute intrinsic and extrinsic values:
    UNDERLYING
    PRICE
    OPTION
    PRICE
    INTRINSIC VALUE
    EXTRINSIC VALUE
    Acadia Pharma (ACAD)
    $26.80
    18 Apr XXXXXXXXXXcall
    $3.20
    
    
    Netflix Inc. (NFLX)
    $360.31
    17 May XXXXXXXXXXput
    $35.85
    
    
    Proctor & Gamble Co. (PG)
    $98.97
    5 Apr XXXXXXXXXXcall
    $4.85
    
    
    IBM (IBM)
    $138.12
    5 Apr XXXXXXXXXXput
    $2.19
    
    
    Pure Storage Inc. (PSTG)
    $20.50
    17 May XXXXXXXXXXcall
    $1.05
    
    
    ZScaler, Inc (ZS)
    $49.68
    20 Dec XXXXXXXXXXcall
    $9.70
    
    
    ZScaler, Inc (ZS)
    $49.68
    20 Dec XXXXXXXXXXput
    $9.80
    
    
3.1 Delta:
a. An option is trading at $3.45. If it has a delta of .78, what would the price of the option be if the underlying increases by $.75? What would the price of the option be if the underlying decreases by $.55?
. What type of option is this? Explain your answer.
c. With a delta of .78, is this option ITM, ATM or OTM? Explain your answer.
3.2 Delta:
a. An option is trading at $5.03. If it has a delta of -.56, what would the price of the option be if the underlying increases by $.75? What would the price of the option be if the underlying decreases by $.55?
. What type of option is this? Explain your answer.
c. With a delta of -.56, is this option ITM, ATM or OTM? Explain your answer.
3.3 Delta: Look at the following chart. Rank the options in terms of moneyness, from deepest ITM to XXXXXXXXXXdeepest OTM.
    
    Option Type
    Delta
    A
    Call
    .89
    B
    Call
    .12
    C
    Put
    -.75
    D
    Call
    .16
    E
    Call
    .35
    F
    Put
    -.50
4. Extrinsic Value: Look at the following chart. Rank the options in order of expiry, from nearest to farthest.
    
    UNDERLYING
    UNDERLYING
PRICE
    STRIKE/TYPE
    OPTION PRICE
    INTRINSIC VALUE
    EXTRINSIC VALUE
    A
    SPY
    $278.68
    280 call
    $11.70
    
    
    B
    SPY
    $278.68
    280 call
    $14.69
    
    
    C
    SPY
    $278.68
    280 put
    $12.39
    
    
    D
    SPY
    $278.68
    280 call
    $27.44
    
    
    E
    SPY
    $278.68
    280 put
    $8.73
    
    
    F
    SPY
    $278.68
    280 put
    $14.83
    
    
    G
    SPY
    $278.68
    280 call
    $4.14
    
    
5. Theta:    An option has a theta of -.08. If it has a price of $2.58 today, what will its price be tomo
ow, all else being the same? Explain.
6. Theta: Option A has a theta of -.10 and Option B has a theta of -.05. Which option is expiring first? Explain.
7. Theta: Look at the following chart. Rank the options in order of expiry, from nearest to farthest.
    
    UNDERLYING
    UNDERLYING
PRICE
    STRIKE
TYPE
    OPTION PRICE
    THETA
    A
    SPY
    $278.68
    280 call
    $1.00
    -.07
    B
    SPY
    $278.68
    280 call
    $14.69
    -.02
    C
    SPY
    $278.68
    280 put
    $12.39
    -.03
    D
    SPY
    $278.68
    280 call
    $27.44
    -.02
    E
    SPY
    $278.68
    280 put
    $8.73
    -.04
    F
    SPY
    $278.68
    280 put
    $14.83
    -.03
    G
    SPY
    $278.68
    280 call
    $4.14
    -.04
8. Gamma: Look at the following chart. Based only on this information, which underlying equity is the riskiest (highest 2)?
    
    UNDERLYING
PRICE
    STRIKE
TYPE
    OPTION DELTA
    OPTION GAMMA
    A
    $139.20
    139 call
    .51
    .09
    B
    $137.47
    137 call
    .54
    .06
    C
    $137.75
    138 put
    -.50
    .06
    D
    $138.35
    138 call
    .54
    .10
9. Gamma: Look at the following chart. Based only on this information, rank the options in terms of moneyness, from deepest ITM to deepest OTM.
    
    UNDERLYING
PRICE
    TYPE
    OPTION GAMMA
    A
    $138.35
    call
    .13
    B
    $138.35
    call
    .06
    C
    $138.35
    put
    .08
    D
    $138.35
    put
    .10
10. Gamma: An option is trading at $5.26, has a delta of .52, and a gamma of .11. what would the delta of the option be if the underlying increases by $.75? What would the delta of the option be if the underlying decreases by $1.05? Explain.
11. Vega: An option is priced at $3.20 and has a vega of .10. If the implied volatility of the option is 25%, what would the option price be if the volatility of the underlying increases by 1%?
12. Vega: A stock is about to announce earnings, and the option has begun to increase in price, even though the underlying price hasn’t changed. Why is this happening?
13. Vega: Look at the following chart. Based only on this information, rank the options in terms of moneyness, from deepest ITM to deepest OTM.
    
    UNDERLYING
PRICE
    TYPE
    OPTION VEGA
    A
    $138.35
    call
    .13
    B
    $138.35
    call
    .06
    C
    $138.35
    put
    -.08
    D
    $138.35
    put
    -.10
14. Delta Neutrality: Based on the stock portfolio below, use options to build a delta neutral portfolio, keeping the long equity positions as is. NOTE: If an option is a short call or a long put, be sure to remember that these positions have negative delta.
    
    UNDERLYING
    PRICE
    OPTION
    PRICE
    OPTION DELTA
    400
    Acadia Pharma (ACAD)
    $26.60
    18 Apr XXXXXXXXXXcall
    $3.70
    .65
    30
    Netflix Inc. (NFLX)
    $357.32
    17 May XXXXXXXXXXput
    $36.95
    -.60
    100
    Proctor & Gamble Co. (PG)
    $98.44
    5 Apr XXXXXXXXXXcall
    $4.35
    .75
    75
    IBM (IBM)
    $139.20
    5 Apr XXXXXXXXXXput
    $4.30
    .61
    500
    Pure Storage Inc. (PSTG)
    $20.86
    17 May XXXXXXXXXXcall
    $.95
    .38
    165
    ZScaler, Inc (ZS)
    $60.80
    20 Dec XXXXXXXXXXcall
    $17.70
    .75
Answered Same Day May 03, 2021

Solution

Harshit answered on May 04 2021
156 Votes
Answer to Question 1
a. Long call means purchase of option which means that a trader has a right to buy security in future date at the pre decided price. This is done when the investor things a market is bullish. He anticipates that the market in the future will go up. Adventures that he can purchase a share at predetermined price also known as strike price. Open the Future the price actually goes up then he has to pay only the decided strike price which is lower than the market rate that will make profit. Is the prices below the level of strike price he will not exercise the option and the only loss that he will book is the premium amount already paid.
. Long put means purchase of put option that is the trader is anticipating that the value of an underlying asset or stock will fall at any future date if you believe that the market is very. He enters in a contract thinking that the price of the underlying asset will go down in future. Price goes down as per estimation then he has the right to buy the security at lower price and sell the same at Higher pre-decided strike price. If the price does not goes down then he will not exercise the option and only be book the premium amount paid as loss.
c. Short call means selling of call option. In this day trader has to purchase that stock at a predefined strike price when the contract is expired. Here he thinks that the market is bearish. The trader has the right to sell a security at a predetermined strike price. The price of the stock goes down the trader has right to sell the security at 8 higher strike price has making profit but is the price does not goes down, the trader who has the short call has to exercise option and buy the security at the higher price.
d. Shot put means sale of put option. The trader as the application to sell the stocks at a predetermined strike price is the purchaser of the put option to others to exercise the option. The trader sells the put contract attar pre-determined strike price which is above the stock price. New the shock price is below the strike price the option will be exercised by the buyer. The seller of the option will have to buy the shares a higher price and sell them at a lower price for incu
ing losses.
Answer to Question 2
    Underlying
    Price
    Strike
    Option
    Option Price
    Intrinsic Value
    Extrinsic Value
     
    S
    K
    Call / Put
    A
    B = max (S - K, 0) for Call; max (K - S, 0) for Put
    A - B
    ACAD
    26.8
    25
    Call
                  3.20
    1.80
    1.40
    NFLX
    360.31
    380
    Put
                35.85
    19.69
    16.16
    PG
    98.97
    95
    Call
                  4.85
    3.97
    0.88
    IBM
    138.12
    137
    Put
                  2.19
    0.00
    2.19
    PSTG
    20.5
    22.5
    Call
                  1.05
    0.00
    1.05
    ZS
    49.68
    50
    Call
                 ...
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