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Indicate whether each of the following statements is true or false. If it is true, explain/prove why it is true. If it is false, explain why or provide a counterexample. Credit will not be given unless an explanation is provided.,(a) Given two call options with the same underlying stock and the same maturity date, the one with the higher strike price has a higher value.,(b) Let portfolio A and portfolio B be two efficient portfolios (i.e. optimal portfolios). If the standard deviation of portfolio A is greater than the standard deviation of portfolio B, then the expected return of portfolio A is also greater than the expected return of portfolio B.,(c) If an asset is uncorrelated with the market portfolio, then the expected rate of return of this asset must be equal to the risk-free rate.,(d) If the risk-free rate increases (everything else being equal), then the variance of the market portfolio decreases.

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