J-Rata Corp shares are currently trading at $30 each. It is expected to increase by 10% or decrease by 6% during the next two-three months. If its strike price at maturity in six months is set as $32 and the risk free rate is 8% per annum for all maturities: (a) Calculate its call options price and its put option price currently (b)Test and prove that the put-call parity is holding based on your option pricing.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter20: Financing With Derivatives
Section20.A: The Black-scholes Option Pricing Model
Problem 1P
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  1. J-Rata Corp shares are currently trading at $30 each. It is expected to increase by 10% or decrease by 6% during the next two-three months. If its strike price at maturity in six months is set as $32 and the risk free rate is 8% per annum for all maturities:

(a) Calculate its call options price and its put option price currently

(b)Test and prove that the put-call parity is holding based on your option pricing.

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