Which of the Following Statements Is False

question 32

Multiple Choice

Which of the following statements is false?

• A) A replicating portfolio is a portfolio of other securities that has exactly the same value in one period as the option.
• B) By using the Law of One Price, we are able to solve for the price of the option as long as we know the probabilities of the states in the binomial tree.
• C) The binomial tree contains all the information we currently know: the value of the stock, bond, and call options in each state in one period, as well as the price of the stock and bond today.
• D) The idea that you can replicate the option payoff by dynamically trading in a portfolio of the underlying stock and a risk-free bond was one of the most important contributions of the original Black-Scholes paper. Today, this kind of replication strategy is called a dynamic trading strategy.

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Definitions:

Probability

The measure of likelihood that an event will occur, expressed as a number between 0 and 1.

Random Variable

A variable whose values depend on outcomes of a random phenomenon. It can be discrete or continuous.

Standard Deviation

A metric that quantifies the spread or variation of a dataset in comparison to its average value.

Normal Model

A probability distribution that is symmetrical around the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.