# Risk-Neutral Probabilities

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## Definition of 'Risk-Neutral Probabilities'

Risk-neutral probabilities are the probabilities that investors use when evaluating risky assets. They are also known as the "market probabilities" or the "objective probabilities."

Risk-neutral probabilities are important because they allow investors to compare the expected returns of different investments. For example, if an investor is risk-neutral, they will prefer an investment with an expected return of 10% to an investment with an expected return of 5%. This is because the risk-neutral investor does not care about the risk of the investment, they only care about the expected return.

Risk-neutral probabilities are not the same as subjective probabilities. Subjective probabilities are the probabilities that an individual investor assigns to an event. These probabilities can be different from the risk-neutral probabilities. For example, an investor who is risk-averse may assign a lower probability to an investment with a high expected return than the risk-neutral investor.

The concept of risk-neutral probabilities is important in finance because it allows investors to compare the expected returns of different investments. It is also important in the pricing of financial derivatives, such as options.

In the following paragraphs, we will discuss the concept of risk-neutral probabilities in more detail. We will also discuss how risk-neutral probabilities are used in the pricing of financial derivatives.

Risk-neutral probabilities are the probabilities that investors use when evaluating risky assets. They are also known as the "market probabilities" or the "objective probabilities."

Risk-neutral probabilities are important because they allow investors to compare the expected returns of different investments. For example, if an investor is risk-neutral, they will prefer an investment with an expected return of 10% to an investment with an expected return of 5%. This is because the risk-neutral investor does not care about the risk of the investment, they only care about the expected return.

Risk-neutral probabilities are not the same as subjective probabilities. Subjective probabilities are the probabilities that an individual investor assigns to an event. These probabilities can be different from the risk-neutral probabilities. For example, an investor who is risk-averse may assign a lower probability to an investment with a high expected return than the risk-neutral investor.

The concept of risk-neutral probabilities is important in finance because it allows investors to compare the expected returns of different investments. It is also important in the pricing of financial derivatives, such as options.

In the following paragraphs, we will discuss the concept of risk-neutral probabilities in more detail. We will also discuss how risk-neutral probabilities are used in the pricing of financial derivatives.

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