Question

A one-month European call option on a non-dividend-paying stock is currently selling for $1. The stock price is $47, the strike price is $50, and the risk-free rate is 6% per annum (continuously compounded). What is the time value of a one-month European put on the same stock with the same strike price?

Answer 1

The price of the put-option on the same stock with the same strike price is $3.75.

Step-by-step explanation:

To find the price of the put option on an underlying asset given the price on the call option's price for the same underlying asset with the same strike price is given, we apply put-call parity model.

Put call parity model: p = K x e^(-rT) + c - St .

in which: p: put option's price;

K: underlying asset's strike price;

r: risk-free rate;

T: time to maturity denominated in year;

c= call option's price;

St = spot price of underlying asset .

So, p = 50 x e^(-0.06 x 1/12) + 1 - 47 = $3.75 .