PRIN.OF CORPORATE FINANCE
PRIN.OF CORPORATE FINANCE
13th Edition
ISBN: 9781260013900
Author: BREALEY
Publisher: RENT MCG
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Chapter 20, Problem 15PS

Put–call parity

  1. a. If you can’t sell a share short, you can achieve exactly the same final payoff by a combination of options and borrowing or lending. What is this combination?
  2. b. Now work out the mixture of stock and options that gives the same final payoff as investment in a risk-free loan.
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Arbitrage is the idea that one can (select the best answer): Group of answer choices   Buy and Sell different assets or packages of assets at different prices such you can earn a riskless profit without investing any capital. Earn rates of return greater than the average for the market by successfully “picking” stocks. Earn abnormal returns above what CAPM would predict for a particular security.
My question is for a synthetic call option why do we need to borrow the present value of the strike price and what does it mean in a simple language explanation. Similarly why do we need to lend the present value of the stock at risk-free rate and what does it mean in simple language explanation?  Please also clarify the significance of risk free rate? Why is it used in put call parity.   Synthetic Call Option: If an investor believes that a call option is over-priced, then he/she can sell the call on the market and replicate a synthetic call. Borrow the present value of the strike price at the risk free rate and purchase the underlying stock and a put. Synthetic Put Option: Similar to the synthetic call option. A synthetic put can be created by re-arranging the put-call parity relationship, if the trader believes the put is overvalued. Synthetic Stock: A synthetic stock can also be created by rearranging the put-call parity identity. In this case, the investor will buy the…
Use the put-call parity relationship to demonstrate that an at-the-money call option on a nondividend-paying stock must cost more than an at-the-money put option. Show that the prices of the put and call will be equal if So = (1 + r)^T

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PRIN.OF CORPORATE FINANCE

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