Binomial Pricing: Consider Two Call Options Written on Different Stocks

question 12

Multiple Choice

Binomial pricing: Consider two call options written on different stocks. Both call options have a strike price of $15 and expire one year from today. The first option is written on LowVol Co., whose current stock price is $16. One year from now, shares of LowVol Co. will either rise to $18 or fall to $14. The second option is written on HighVol, Inc., whose current stock price is also $16. One year from now shares of HighVol Inc. will either rise to $22, or fall to $0. The risk-free interest rate is 0 percent. Which call option is worth more?

• A) The call option on LowVol is worth more.
• B) The call option on HighVol is worth more.
• C) They are both worth the same amount.
• D) There is not enough information to make a comparison.

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Definitions:

Average Revenue

The average amount of money received by a firm per unit of output sold, calculated by dividing the total revenue by the number of units sold.

Marginal Cost

The uptick in price resulting from the manufacture of an extra unit of a good or service.

Monopoly Firm

A company that is the sole provider of a product or service in a market, facing no competition.

Profit

The financial gain obtained when the revenues generated from business activities exceed the expenses, taxes, and costs.