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- 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; Volatilitya) discuss the relationship between the up-factor (u), down-factor (d), risk-free rate (r), and binomial probability (p) in the binomial model. b) discuss the assumptions in Black-Scholes-Merton model (BSM) from memory. c) discuss the variables in the BSM formula and explain how they affect call option pricing. d) define historical volatility and implied volatility. e) demonstrate how to reduce risk with gamma hedging.Consider the Black-Scholes equation for the option price V(S, t) if the underlying does not pay out dividends. (i) Show that V(S,t) = AS, where S is the underlying price, t is time, and A is a constant, is a solution to the Black-Scholes equation. (ii) For the solution V(S,t) = AS, define the value A (Delta) used for hedging.
- Let a discrete dividend with the dividend yield dy be paid out on the underlying S at time ta. (i) Formulate the jump condition for the underlying price S at time ta and explain carefully the meaning of all parameters and variables you use in the jump condition. (ii) Consider the dividend yield dy = 0.2. The value of S immediately after the dividend payment is S = £10.00. What is the value of S immediately before the dividend payment?The VIX measures Select one: a.Realized volatility B. Current volatility C. Historical volatility D. Implied volatilityDraw the profit diagram of the portfolio just drawn (and clearly state any assumptions you make). The profit is equal to the difference between the payoff of the portfolio at expiry (maturity) date and the cost of the portfolio. Is the cost of the portfolio positive?
- Assume that using the Security Market Line the required rate of return (RA) on stock A is found to be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the required return on A. Return on the market portfolio is denoted by RM. Find the ratio of beta of A (bA) to beta of B (bB).The Capital Asset Pricing Model (CAPM) says that the risk premium on a stock is equal to its beta times the market risk premium. ..... True FalseAssume that using the Security Market Line(SML) the required rate of return(RA)on stock A is found to be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourthof the required return on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A(A) to beta of B(B).
- What is the Capital Asset Pricing Model (CAPM)? Derive the risk premium when beta is between 0 and 1. Interpret your result.If the liquidity preference hypothesis is true, what shape should the term structure curve have in a period where interest rates are expected to be constant?a. Upward sloping.b. Downward sloping.c. Flat.The security market line has a slope equal to the a) Risk-free rate b) Market risk premium c) Beta coefficient d) Market rate of return