Suppose there exists a non-dividend-paying stock which has a current price of $100 per share. Let there also exist a pair of one-year European calls on this stock, with strikes of $80 and $120 available for an observed price of $3 and $6, respectively. 10% is the continuously compounded, risk-free interest rate. You believe there exists an arbitrage portfolio in these conditions, containing the following components: - the long $80 strike call, - the written $120 strike call. Calculate the minimum gain you may receive from this arbitrage portfolio, if it actually exists.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Suppose there exists a non-dividend-paying stock which has a current price of $100 per share.
Let there also exist a pair of one-year European calls on this stock, with strikes of $80 and $120
available for an observed price of $3 and $6, respectively.
10% is the continuously compounded, risk-free interest rate.
You believe there exists an arbitrage portfolio in these conditions, containing the following
components:
- the long $80 strike call,
- the written $120 strike call.
Calculate the minimum gain you may receive from this arbitrage portfolio, if it actually exists.
Transcribed Image Text:Suppose there exists a non-dividend-paying stock which has a current price of $100 per share. Let there also exist a pair of one-year European calls on this stock, with strikes of $80 and $120 available for an observed price of $3 and $6, respectively. 10% is the continuously compounded, risk-free interest rate. You believe there exists an arbitrage portfolio in these conditions, containing the following components: - the long $80 strike call, - the written $120 strike call. Calculate the minimum gain you may receive from this arbitrage portfolio, if it actually exists.
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