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Q 4 e . Calculate option price when stock moves $ 9 5 0 . How much of the total PnL of Q 4 d

Q4e. Calculate option price when stock moves $950. How much of the total PnL of Q4d is from
option position, and how much is from the stock position? (3 points)
(note: the TOTAL PnL from options and stocks should match the total PnL from delta and gamma).
Q4f. If underlying moves down from 1000 to 950, what is the new delta at stock price of 950 for
your overall position? If you want to re-hedge to flatten the delta with underlying shares, what
trade do you need to do in the shares to achieve that? How many shares to trade? Long or short? (2
points)
Q4g. What is the PnL from the delta and gamma when underlying moves from 1000 to 1025,
respectively? (2 points)
Q4h. For Q4g, how much of the total PnL is from option position, and how much is from stock
positions, when underlying moves from 1000 to 1025?(2 points)
Q4i. If underlying moves up from 1000 to 1025, If you need to re-hedge to flatten delta with
underlying shares, what trade do you need to do in the shares? (2 points)
Q4e. Calculate option price when stock moves $950. How much of the total PnL of Q4d is from
option position, and how much is from the stock position? (3 points)
(note: the TOTAL PnL from options and stocks should match the total PnL from delta and gamma).
Q4f. If underlying moves down from 1000 to 950, what is the new delta at stock price of 950 for
your overall position? If you want to re-hedge to flatten the delta with underlying shares, what
trade do you need to do in the shares to achieve that? How many shares to trade? Long or short? (2
points)
Q4g. What is the PnL from the delta and gamma when underlying moves from 1000 to 1025,
respectively? (2 points)
Q4h. For Q4g, how much of the total PnL is from option position, and how much is from stock
positions, when underlying moves from 1000 to 1025?(2 points)
Q4i. If underlying moves up from 1000 to 1025, If you need to re-hedge to flatten delta with
underlying shares, what trade do you need to do in the shares? (2 points)
Show calculations
Q4e. Calculate option price when stock moves $950. How much of the total PnL of Q4d is from
option position, and how much is from the stock position? (3 points)
(note: the TOTAL PnL from options and stocks should match the total PnL from delta and gamma).
Q4f. If underlying moves down from 1000 to 950, what is the new delta at stock price of 950 for
your overall position? If you want to re-hedge to flatten the delta with underlying shares, what
trade do you need to do in the shares to achieve that? How many shares to trade? Long or short? (2
points)
Q4g. What is the PnL from the delta and gamma when underlying moves from 1000 to 1025,
respectively? (2 points)
Q4h. For Q4g, how much of the total PnL is from option position, and how much is from stock
positions, when underlying moves from 1000 to 1025?(2 points)
Q4i. If underlying moves up from 1000 to 1025, If you need to re-hedge to flatten delta with
underlying shares, what trade do you need to do in the shares? (2 points)
Show calculations
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