Consider the following case: Andre is an amateur investor who holds a small portfolio consisting of only four stocks. The stock
holdings in his portfolio:Stock Percentage of Portfolio Expected Return Standard DeviationArtemis 20% 8% 38%Babish 30% 14% 42%Cornell 35% 11% 45%Danforth 15% 5% 47% What is the expected return of Andre's portfolio?Suppose each stock in the preceding portfolio has a correlation coefficient of 0.4 with each of the other stocks. The market's standard deviation is around 20%, and the weighted average of the risk of the individual securities in the partially diversified portfolio of four stocks is 35%. If 40 additional, randomly selected stocks with a correlation coefficient of 0.3 with the other stocks in the portfolio were added to the portfolio, what effect would this have on the portfolio's standard deviation?
1 answer:
You might be interested in
Answer:
The answer is below
Explanation:
The z core is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
, x = raw score
Given that mean (μ) = 15 minutes per car, standard deviation (σ) = 2.4 minutes.
1) For x > 18:
From normal distribution table, P(x > 18) = P(z > 1.25) = 1 - P(z < 1.25) = 1 - 0.8944 = 0.1056
2) For x < 10:
From normal distribution table, P(x < 10) = P(z < -2.08) = 0.0188
3) For x > 12:
For x < 16:
From normal distribution table, P(12 < x < 16) = P(z < 0.42) - P(z < -1.25) = 0.6628 - 0.1056 = 0.5572