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Molodets [167]
3 years ago
9

You hear on the news that the​ S&P 500 was down 2.3 %2.3% today relative to the​ risk-free rate​ (the market's excess return

was negative 2.3 % ).−2.3%). You are thinking about your portfolio and your investments in Zynga and Proctor and Gamble.
a. If​ Zynga's beta is 1.21.2​, what is your best guess as to​ Zynga's excess return​ today?


b. If Proctor and​ Gamble's beta is 0.50.5​, what is your best guess as to​ P&G's excess return​ today?
Mathematics
1 answer:
exis [7]3 years ago
6 0
-25%x=466
Hope this helps you thank
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Answer:

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(b) The probability is 0.7769

Step-by-step explanation:

If the number of accidents occur according to a poisson process, the probability that x accidents occurs on a given day is:

P(x)=\frac{e^{-at}*(at)^{x} }{x!}

Where a is the mean number of accidents per day and t is the number of days.

So, for part (a), a is equal to 3/7 and t is equal to 1 day, because there is a rate of 3 accidents every 7 days.

Then, the probability that a given day has no accidents is calculated as:

P(x)=\frac{e^{-3/7}*(3/7)^{x}}{x!}

P(0)=\frac{e^{-3/7}*(3/7)^{0}}{0!}=0.6514

On the other hand the probability that February has at least one accident with a personal injury is calculated as:

P(x≥1)=1 - P(0)

Where P(0) is calculated as:

P(x)=\frac{e^{-at}*(at)^{x} }{x!}

Where a is equivalent to (3/7)(1/8) because that is the mean number of accidents with personal injury per day, and t is equal to 28 because 4 weeks has 28 days, so:

P(x)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{x}}{x!}

P(0)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{0}}{0!}=0.2231

Finally, P(x≥1) is:

P(x≥1) = 1 - 0.2231 = 0.7769

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