You are a fund manager in Derivatives Asset Management Fund (2322.HKU). You manage a portfolio...
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You are a fund manager in Derivatives Asset Management Fund (2322.HKU). You manage a portfolio consists of stocks and derivatives contracts. You profit mainly from arbitrage activities from mispricing and speculating on the movements and volatility of the market. On a regular day, you will project your price expectation on the market. The current Hang Seng Index level is 28500. The 6-month risk-free interest rate is 0.1% p.a., continuously compounded. The dividend yield of HSI is expected to be 3.5% p.a., continuously compounded for the coming 6 months. Below is your expectation of HSI level 6 months later:
Probability
HSI Level
0.1
27000
0.3
28500
0.4
29000
0.2
30000
In order to speculate in the market, you are considering the following strategies:
Strategy 1: Long Call option with a strike price of 28500, short put option with a strike price of 27000 Strategy 2: Long Call option with a strike price of 27000, short call option with a strike price of 30000 Strategy 3: Long Call and Long Put with a strike price of 28500
All of the options used are with 6-month maturity. Below is the relevant call and put premiums:
(Leave 2 d.p. for dollar terms answer)
Strike
Call premium
Put premium
27000
2112.39
1093.31
28500
1363.65
1843.82
30000
831.38
2810.8
What is the expected profit of strategy 1,2 and 3?
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