You are a fund manager in Derivatives Asset Management Fund (2322.HKU). You manage a portfolio...

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Finance

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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