Question

Given the following parameters use put-call parity to determine the price of a put option with...

Given the following parameters use put-call parity to determine the price of a put option with the same exercise price.

Current stock price: $48.00
Call option exercise price: $50.00
Sales price of call options: $3.80
Months until expiration of call options: 3
Risk free rate: 2.6 percent
Compounding: Continuous

A) Price of put option = $5.48

B) Price of put option = $4.52

C) Price of put option = $6.13

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Answer #1

Acording to Put call Parity Theorum

PV of Strike Price + Vc = Vp + Stock Price

PV of STrike Price:

= Strike Price * e^(-r*t)

= $ 50 * e^(-0.026*0.25)

= $ 50 * e^(-0.0065)

= $ 50 * 0.9935

= $ 49.68

Vp = Vc + Stock Price -PV of Strike Price

= $ 3.80 + $ 48.00 - $ 49.68

= $ 2.12

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