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alimarie9714
01.07.2021 •
Business
You have been asked to create a synthetic short position in a forward contract that permits you to sell 10 units of the underlying one year from now at a price of $50 per unit. (1) Describe the positions you need to take in call and put options to achieve the synthetic short forward position. (2) If the underlying is selling for $48 today (i.e. So = 48), what is the cost of your synthetic short position?
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Ответ:
Solution :
X = exercise price = 50
1). Position to be taken :
-- buy 10 numbers of Put options with strike price of $ 50 per unit.
--- short (sell) 10 numbers of Call option with strike price of $ 50 per unit.
2). Cost of synthetic short position =
,
where, P = price of 1 put ption
C = price of 1 call option
The Call - Put parity equation :
Here, C = Call premium
X = strike price of call and Put
r = annual rate of interest
t = time in years
P = Put premium
Therefore,
Here, t = 1,
= 48, X = 50
So the cost of the position is given as :![$\frac{50}{(1+r)} -48$](/tpl/images/1387/3590/f39be.png)
Ответ:
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