The portfolio contains an ATM call and ATM put of the same maturity of same underlying currency then they must have the same present value.
Else, arbitrager can add longs on the undervalued portfolio and short on overvalued portfolio to make a risk free profit on expiration day.
Hence, taking the need to calculate the present value of the cash component into account using a suitable risk-free interest rate, we have computed and illustrated the Put call parity of GBP/USD straddle:
We considered At-The-Money options while calculating Put call parity of GBP straddle structure as shown in the figure.
C = S + p - Xe-r (T- t)
= 1.5725 + 802.06 - Euler (1.5725*2.71828) - 0.02*(7)
= 799.218
P = c - S + Xe-r (T- t)
= 795.86 - 1.5725 + Euler (1.5725*2.71828) - 0.02*(7)
= 798.422
Where,
S = Current Exchange Rate at around 1.5725
X = Exercise price (strike) of option = 1.5725
C = Call Value = 795.86
P = Put price = 802.06
e = Euler's constant - approximately 2.71828 (exponential function on a financial calculator)
r = continuously compounded risk free interest rate is deemed as 2%
T-t = term to expiration measured in years = 7 days
T = Expiration date
t = Current value date
Inference: Before jumping into a conclusion of above calculations, one has to be mindful of how the supply and demand impacts option prices and how all option values (at all the available strikes and expirations) on the same underlying exchange rates are related.


USA at 250: the Black American struggle for life, liberty and the pursuit of happiness
Elon Musk is remaking the world, like Henry Ford before him – but more dangerously
Goldman Sachs Flags 3 Key Risks Ahead of Europe’s Earnings Season
Bank of America Upgrades T-Mobile to Buy, Says LEO Satellite Fears Are Overdone
In a rebuke to Trump, the Supreme Court rules that birthright citizenship is the law of the land
JPMorgan Cuts Gold Price Forecast, Sees Bullion Reaching $4,500 by End of 2026
Smartphones are helping filmmakers tell the stories the movie industry overlooks
Alcohol is one of the most dangerous drugs, yet its presence is ubiquitous in social settings and celebrations
Buy the Dip: Gold Holds Strong at $3980, Targets $4150 



