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Basic Question 4 of 5

Consider the following information on put and call options on an asset:

Put price: p0 = 8
Exercise price: X = 60
Forward price: F(0, T) = 55
Days to option expiration: 180 days
The continuously compounded risk-free rate: r(c) = 4%

Use put-call-forward parity to calculate the price of a synthetic call option.

User Contributed Comments 2

User Comment
MGM13 The long forward value is zero. Does this imply that this is at initiation, when the forward VALUE (which is different from the PRICE, no?) is equal to zero? Is the 55 used simply to determine if we are long or short the forward (by comparing it to the exercise price)? Thanks.
yyttcgg Yes the value of a forward is zero when initiated.
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Martin Rockenfeldt

Martin Rockenfeldt

Learning Outcome Statements

explain put-call forward parity for European options

CFA® 2025 Level I Curriculum, Volume 5, Module 9.