Recall that the risk-neutral probability of an asset corresponds to the probability for which the expected return on the asset equals the risk-free rate. Consider a special case where the current asset value is So = 100, and the annual risk-free rate is r = 0%. The asset does not pay dividends. Additionally, consider a simple distribution in which the asset price goes up by $10 with probability p and drops by $10 with probability 1 - p. Based on this information, what is the risk-neutral probability?

Recall that the risk-neutral probability of an asset corresponds to the probability for which the expected return on the asset equals the risk-free rate. Consider a special case where the current asset value is So = 100, and the annual risk-free rate is r = 0%. The asset does not pay dividends. Additionally, consider a simple distribution in which the asset price goes up by $10 with probability p and drops by $10 with probability 1 - p. Based on this information, what is the risk-neutral probability?

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

Section: Chapter Questions

Problem 1PS

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Similar questions

When, if ever, will the geometric average return exceed the arithmetic average return for a given set of returns? Never When the set of returns includes only risk-free rates. When all of the rates of return in the set of returns are equal to each other.
Calculate the required rate of return for an asset that has a beta of 1.01, given a risk-free rate of %3.4 and a market return of %9.1 . b. If investors have become more risk-averse due to recent geopolitical events, and the market return rises to %11.6, what is the required rate of return for the same asset? a. The required rate of return for the asset is enter your response here%. (Round to two decimal places.) Part 2 b. If investors have become more risk-averse due to recent geopolitical events, and the market return rises to 11.6%, the required rate of return for the same asset is enter your response here%. (Round to two decimal places.)
If the yield curve is upward sloping: Hint: When there is an increase in the demand for an asset, the price of the asset goes up. You expect returns from investing in such ("higher-priced") asset to be lower in the future. Conversely, when there is a decrease in the demand for an asset, the price of the asset goes down. You expect returns from investing in such ("lower-priced") asset to be higher in the future. O investors expect the short-term interest rates to fall in the future. investors often shift their investment holdings away from long-term securities. investors often short sell short-term securities. investors often shift their investment holdings away from short-term securities.
Certainty Equivalent Cash flow (CEQ) is obtained through converting the expected cash flows by a ______ shift of risk. If we discount the CEQ by the time value of money, we will have the present value _______ discounting future cash flow by time and risk discounting factor. Therefore, CEQ is always ______ than the expected cash flow. Find the correct choice to fill the blanks. A. time varying, same as, lowerB. constant, same as, lower C. time varying, higher than, lowerD. constant, same as, higher
An asset has normally-distributed returns, with mean of 10.6% and standard deviation of 14.8%. What is the 2% VaR (value at risk) return? Enter answer in percents.
Return on a portfolio of two risky assets which are perfectly negatively correlated is equivalent to a. Risk-free rate b. Return on market portfolio c. Zero return d. -1%
4. Valuation of a Derivative Consider a derivative on a stock with the time to expiration T and the following payoff: 0 K₁ 0 if ST K₁. What is the present value of the derivative? Provide an analytic expression of the price using N(), the cumulative probability distribution function of a standard normal random variable.
The slope of the Security Market Line equals to ____, and the slope of Capital Allocation Line equals to____. Select one: A. Beta; Sharpe Ratio B. Market Risk Premium; Sharpe Ratio C. Risk free rate; Volatility D. Market Risk Premium; Volatility

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