Reference no: EM132466090
At t=0, the value of a stock is $80/share. A financial analyst summarizes the prabability distribution of the price per share and dividend paid per share of this stock at t=1 in the following table. Answer questions (a) through (e) accordingly
Scenario. Probability Value per share at t=1 Dividend per share at t=1
Strong Boom 0.05 $116.00 $4.00
Boom 0.25 $97.00 $3.00
Normal Growth 0.45 $90.00 $2.00
Recession 0.20 $63.00 $1.00
Severe Recession 0.05 $48.00 $0.00
(a) What are the corresponding holding period returns from t=0 to t=1 of the stock in each of the five scenarios shown in the table?
(b) What is the 5% value at risk (VaR) of the holding period return from t=0 to t=1 of the stock?
(c) What is the expected holding period return from t=0 to t=1 of the stock?
(d) What is the variance of the holding period return from t=0 to t=1 of the stock? (Round to six decimals, or four decimals after the percentage.)
(e) What is the standard deviation of the holding period return from t=0 to t=1 of the stock?
2. For a random variable X that follows a standard normal distribution, i.e., , it is known that . Assume that the return of a risky investment follows a normal distribution, and that it has an expected return of 7% and a standard deviation of 12%. Answer questions (a) and (b) accordingly.
(a) What is the 2% value at risk (VaR) of this risky investment? Show the steps using the information provided on the standard normal distribution that support your answers.
(b) On page 120 of your textbook, two special properties of the normal distribution are summarized. Your calculation in question (a) should confirm one of the two properties. Which one is it?
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