Suppose we have 101 observations of the returns from each firm. A test for the statistical significance of the correlation of the returns of Firm 1 and Firm 2 produced a t-statistic of 4.362. We have found that the covariance of the returns is -10. We want to know if the average returns of the firm types differ significantly at the 196 level of significance. Each firm produces 1 unit of output and we are interested in the expected returns and variances today, so t-0. What is the result of the test? O a.P < a: Reject the nul. O b.P > a: Reject the nul. O C. None of the options are correct. Od.p > a: Do not reject the null. O e.P < a: Do not reject the null.

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Suppose we have 101 observations of the returns from each firm. A test for the statistical significance of the correlation of the returns of Firm 1 and Firm 2 produced a t-statistic of 4.362. We have
found that the covariance of the returns is -10.
We want to know if the average returns of the firm types differ significantly at the 1% level of significance.
Each firm produces 1 unit of output and we are interested in the expected returns and variances today, so t-0.
What is the result of the test?
O a. P < a: Reject the nuil.
O b.p > a: Reject the null.
O C. None of the options are correct.
O d.p > a: Do not reject the null.
O e.p < a: Do not reject the null.
QUESTION 15
Under the assumption of normality, rationality and noting that Covr,, r2) = 2.5, suppose we have an investor who would like to have a portfolio with both of these firms.
The investor has an objective function that balances the expected returns against the risk of the portfolio such that y = E(r;)
Var(r). wherertis the portfolio of returns at each poi
time, so rt= Lt+ r2 t. The investor is concerned with expected returns nine periods into the future (so t=9), and assumes that each firm will produce 1 unit of output.
What is the expected return of a portfolio that places equal weight on each asset?
Enter your result correct to 2 decimal places.
chia sà màn hình của bạn.
Dừng chia sẻ
Transcribed Image Text:Suppose we have 101 observations of the returns from each firm. A test for the statistical significance of the correlation of the returns of Firm 1 and Firm 2 produced a t-statistic of 4.362. We have found that the covariance of the returns is -10. We want to know if the average returns of the firm types differ significantly at the 1% level of significance. Each firm produces 1 unit of output and we are interested in the expected returns and variances today, so t-0. What is the result of the test? O a. P < a: Reject the nuil. O b.p > a: Reject the null. O C. None of the options are correct. O d.p > a: Do not reject the null. O e.p < a: Do not reject the null. QUESTION 15 Under the assumption of normality, rationality and noting that Covr,, r2) = 2.5, suppose we have an investor who would like to have a portfolio with both of these firms. The investor has an objective function that balances the expected returns against the risk of the portfolio such that y = E(r;) Var(r). wherertis the portfolio of returns at each poi time, so rt= Lt+ r2 t. The investor is concerned with expected returns nine periods into the future (so t=9), and assumes that each firm will produce 1 unit of output. What is the expected return of a portfolio that places equal weight on each asset? Enter your result correct to 2 decimal places. chia sà màn hình của bạn. Dừng chia sẻ
Our firms sell their output in open markets where there is some uncertainty about how their products will be re-
ceived and this uncertainty affects each firm's returns. Letr, and r2 denote the returns of Firm 1 and Firm 2. u1 and
Hz denote their respective expected returns and ô and a the variances of the returns from each firm. To construct
the estimated expected returns and variances a very large sample of observations of was used. The estimated ex-
pected returns and variances are functions of each firm's current output. Future predictions are made by including
t which describes how many weeks from now (now being (t = 0)) the expectation refers to.
For Firm 1 the expected returns are:
P1 = (1/10)y1 +t2/3
and for Firm 2 expected returns are:
i2 = (1/4)y2 + 2t/2
For Firm 1 the expected variance of returns is:
= 10y1 +t/2 + 2t
and for Firm 2 expected variance of returns is:
ô = 4y2 + t2
where n and i2 denote the estimated expected returns of Firml and Firm 2 respectively. Similarly, ô and ô
denote the estimated variances of Firm 1 and Firm 2.
If Firm 1 produces 1 unit of output, what is the estimated expected return and variance one period into the future (so t=1)?
11
121
Transcribed Image Text:Our firms sell their output in open markets where there is some uncertainty about how their products will be re- ceived and this uncertainty affects each firm's returns. Letr, and r2 denote the returns of Firm 1 and Firm 2. u1 and Hz denote their respective expected returns and ô and a the variances of the returns from each firm. To construct the estimated expected returns and variances a very large sample of observations of was used. The estimated ex- pected returns and variances are functions of each firm's current output. Future predictions are made by including t which describes how many weeks from now (now being (t = 0)) the expectation refers to. For Firm 1 the expected returns are: P1 = (1/10)y1 +t2/3 and for Firm 2 expected returns are: i2 = (1/4)y2 + 2t/2 For Firm 1 the expected variance of returns is: = 10y1 +t/2 + 2t and for Firm 2 expected variance of returns is: ô = 4y2 + t2 where n and i2 denote the estimated expected returns of Firml and Firm 2 respectively. Similarly, ô and ô denote the estimated variances of Firm 1 and Firm 2. If Firm 1 produces 1 unit of output, what is the estimated expected return and variance one period into the future (so t=1)? 11 121
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