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Given the following information concerning European options on a non-dividend paying stock: Call price $3.80 Put price $3.00 Strike price $30.00 Time to expiry 3

Given the following information concerning European options on a non-dividend paying stock:

Call price

$3.80

Put price

$3.00

Strike price

$30.00

Time to expiry

3 months

Stock price

$30.90

Risk free rate

5% p.a. (continuously compounded)

Show that put-call parity is violated. Use the table below to indicate the action that is required to earn an arbitrage profit. Based on one stock, calculate the arbitrage profit available.

Action at t=0

(Circle choice)

Cashflow

Call

buy / sell

Put

buy / sell

Stock

buy / sell

Cash

borrow / invest

Action at t=3 months

If Stock price < $30

If Stock price > $30

Arbitrage profit

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