Question

Remember to justify your answers and show your calculations. Stop by office hours if you need additional help! 1. 20 Points each: The present price of a stock is $50. The price of a European call option with strike 47.5 and maturity 6-months is $4.375, and a 6-months bond worth $1 at maturity costs $0.99. a) A European put option with a strike price of 47.5 and 6-months maturity is priced at $1.325. Show that this is inconsistent with put-call parity. b) Bonus for 458, required for 558: Construct a portfolio to benefit from this arbitrage.

          Remember to justify your answers and show your calculations. Stop by office hours if you need additional help!
1. 20 Points each: The present price of a stock is $50. The price of a European call option with strike 47.5 and maturity 6-months is $4.375, and a 6-months bond worth $1 at maturity costs $0.99.
a) A European put option with a strike price of 47.5 and 6-months maturity is priced at $1.325. Show that this is inconsistent with put-call parity.
b) Bonus for 458, required for 558: Construct a portfolio to benefit from this arbitrage.

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Remember to justify your answers and show your calculations. Stop by office hours if you need additional help!
1. 20 Points each: The present price of a stock is 50. The price of a European call option with strike 47.5 and maturity 6-months is4.375, and a 6-months bond worth 1 at maturity costs0.99.
a) A European put option with a strike price of 47.5 and 6-months maturity is priced at 1.325. Show that this is inconsistent with put-call parity.
b) Bonus for 458, required for 558: Construct a portfolio to benefit from this arbitrage.

Added by Jose Francisco R.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

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Solved by Expert Akash M

09/15/2023

Step 1

The put-call parity formula states that the price of a European call option minus the price of a European put option is equal to the present value of the difference between the strike price and the stock price. Mathematically, it can be written as: C - P = S - K Show more…

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Remember to justify your answers and show your calculations. Stop by office hours if you need additional help! 1. 20 Points each: The present price of a stock is $50. The price of a European call option with strike 47.5 and maturity 6-months is $4.375, and a 6-months bond worth $1 at maturity costs $0.99. a) A European put option with a strike price of 47.5 and 6-months maturity is priced at $1.325. Show that this is inconsistent with put-call parity. b) Bonus for 458, required for 558: Construct a portfolio to benefit from this arbitrage.

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