Q1. Suppose John short sells (=writes) Apple put option to Mary. Is this identic
ID: 2777513 • Letter: Q
Question
Q1. Suppose John short sells (=writes) Apple put option to Mary. Is this identical to John buying Apple call option from Mary? Please explain in detail why they are the same or different.
Q2 A company enters into 5 long January futures contracts of wheat. The contract size of the wheat futures is 1,000 bushels and the current futures price is $3.00 per bushel. The initial margin requirement is $0.60 per bushel and the maintenance margin is $0.40 per bushel.
a. How much wheat does the company agreeing to buy/short in January?
b. How much cash does the company have to deposit to its margin account initially?
c. If futures price becomes $3.30 per bushel (10% increase), calculate the cumulative gain.
d. Calculate the rate of return when futures price becomes $3.30. (Hint: use answers to b and c.)
Explanation / Answer
Q1. Suppose John short sells (=writes) Apple put option to Mary. Is this identical to John buying Apple call option from Mary? Please explain in detail why they are the same or different.
No it is not identical to John buying Apple call option from Mary , as he is selling the option where he is giving rights to sell to marry at the certain price i.e excise price if in future the price falls than the option is excisable by marry . Johns thought is either the market would be bullish or thought that the volatality would be constant or stable and wants to eat the option price .
Both situation are different since here john recieve option money where in buying Apple call option from Mary would like to pay initially option money to marry.
Q2 A company enters into 5 long January futures contracts of wheat. The contract size of the wheat futures is 1,000 bushels and the current futures price is $3.00 per bushel. The initial margin requirement is $0.60 per bushel and the maintenance margin is $0.40 per bushel.
a. How much wheat does the company agreeing to buy/short in January?
No of wheat the company agreeing to buy/short in January = 5*1000
No of wheat the company agreeing to buy/short in January = 5000 bushels
b. How much cash does the company have to deposit to its margin account initially?
Cash deposit to its margin account initially = No of wheat the company agreeing to buy/short in January * initial margin requirement per bushel
Cash deposit to its margin account initially = 5000*0.6
Cash deposit to its margin account initially = $ 3000
c. If futures price becomes $3.30 per bushel (10% increase), calculate the cumulative gain.
Cumulative gain = 5000*(3.30-3)
Cumulative gain = 1500
d. Calculate the rate of return when futures price becomes $3.30. (Hint: use answers to b and c.)
Rate of return = Cumulative gain/ Amount Invested
Rate of return = 1500/3000
Rate of return = 50%
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