The common stock of the P.U.T.T. Corporation has been trading in a narrow price range for the past month, but you are convinced it is going to break far out of that range in the next 6 months. You do not know whether it will go up or down, however. The current price of the stock is $100 per share, and the price of a 6 month call option at an exercise price of $100 is $5.60. Required: a. If the semiannual risk-free interest rate is 3%, what must be the price of a 6-month put option on P.U.T.T. stock at an exercise price of $100? (The stock pays no dividends.) b. What would be a simple options strategy to exploit your conviction about the stock price's future movements? How far would it have to move in either direction for you to make a profit on your initial investment? Complete this question by entering your answers in the tabs below. Required A Required B What would be a simple options strategy to exploit your conviction about the stock price's future movements? How far would it have to move in either direction for you to make a profit on your initial investment? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Strategy Price change for profit < Required A Required B >

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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Nikil

The common stock of the P.U.T.T. Corporation has been trading in a narrow price range for the past month, but you are convinced it is
going to break far out of that range in the next 6 months. You do not know whether it will go up or down, however. The current price of
the stock is $100 per share, and the price of a 6 month call option at an exercise price of $100 is $5.60.
Required:
a. If the semiannual risk-free interest rate is 3%, what must be the price of a 6-month put option on P.U.T.T. stock at an exercise price of
$100? (The stock pays no dividends.)
b. What would be a simple options strategy to exploit your conviction about the stock price's future movements? How far would it
have to move in either direction for you to make a profit on your initial investment?
Complete this question by entering your answers in the tabs below.
Required A
Required B
What would be a simple options strategy to exploit your conviction about the stock price's future movements? How far would
it have to move in either direction for you to make a profit on your initial investment?
Note: Do not round intermediate calculations. Round your answer to 2 decimal places.
Strategy
Price change for profit
< Required A
Required B >
Transcribed Image Text:The common stock of the P.U.T.T. Corporation has been trading in a narrow price range for the past month, but you are convinced it is going to break far out of that range in the next 6 months. You do not know whether it will go up or down, however. The current price of the stock is $100 per share, and the price of a 6 month call option at an exercise price of $100 is $5.60. Required: a. If the semiannual risk-free interest rate is 3%, what must be the price of a 6-month put option on P.U.T.T. stock at an exercise price of $100? (The stock pays no dividends.) b. What would be a simple options strategy to exploit your conviction about the stock price's future movements? How far would it have to move in either direction for you to make a profit on your initial investment? Complete this question by entering your answers in the tabs below. Required A Required B What would be a simple options strategy to exploit your conviction about the stock price's future movements? How far would it have to move in either direction for you to make a profit on your initial investment? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Strategy Price change for profit < Required A Required B >
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