You Are Considering Investing $1000 in a Complete Portfolio

question 41

Multiple Choice

You are considering investing $1000 in a complete portfolio. The complete portfolio is composed of Treasury notes that pay 5% and a risky portfolio, P, constructed with two risky securities X and Y. The optimal weights of X and Y in P are 60% and 40% respectively. X has an expected rate of return of 14% and Y has an expected rate of return of 10%. If you decide to hold 25% of your complete portfolio in the risky portfolio and 75% in the Treasury notes then the dollar values of your positions in X and Y respectively would be ________ and ________.

• A)$300, $450
• B)$150, $100
• C)$100, $150
• D)$450, $300

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Definitions:

Finite Population Correction Factor

A factor applied in sampling calculations to adjust for the size of the population when the sample size is a substantial fraction of the total population, to improve the estimation accuracy.

Margin of Error

An indicator of the confidence in the results of a survey or experiment, expressing the amount of potential error in the measurements.

Sample Size

The number of observations or data points collected in a study or experiment.

Finite Population Correction

An adjustment made to sampling formulas to account for the fact that the sample is drawn from a finite population, often resulting in smaller standard errors.