Question
Characteristic Line and Security Market Line You are given the following set of data: Historical Rates of Return Year NYSE Stock X 1 -26.5% -20.0%
Characteristic Line and Security Market Line
You are given the following set of data:
Historical Rates of Return | ||||
Year | NYSE | Stock X | ||
1 | -26.5% | -20.0% | ||
2 | 37.2 | 23.0 | ||
3 | 23.8 | 15.0 | ||
4 | -7.2 | 4.0 | ||
5 | 6.6 | 8.7 | ||
6 | 20.5 | 16.1 | ||
7 | 30.6 | 17.0 |
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Use a spreadsheet (or a calculator with a linear regression function) to determine Stock X's beta coefficient. Do not round intermediate calculations. Round your answer to two decimal places. ________
-
Determine the arithmetic average rates of return for Stock X and the NYSE over the period given. Calculate the standard deviations of returns for both Stock X and the NYSE. Do not round intermediate calculations. Round your answers to two decimal places.
Stock X NYSE Average return, % % Standard deviation, % % -
Assume that the situation during Years 1 to 7 is expected to prevail in the future (i.e., and both x and bx in the future will equal their past values). Also assume that Stock X is in equilibrium - that is, it plots on the Security Market Line. What is the risk-free rate? Do not round intermediate calculations. Round your answer to two decimal places.
________ %
- Choose the correct graph of the Security Market Line.
The correct graph is _______.
- Suppose you hold a large, well-diversified portfolio and are considering adding to that portfolio either Stock X or another stock, Stock Y, which has the same beta as Stock X but a higher standard deviation of returns. Stocks X and Y have the same expected returns: = = 9.1%. Which stock should you choose?
In theory, you should choose Stock X ? choose Stock Y? or be indifferent between the two stocks as far as Stock X would be represented by a higher point on the SML than Stock Y? Stock Y would be represented by a higher point on the SML than Stock X? or the two stocks would be represented by a single point on the SML.
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