DT Motors paid its first annual dividend yesterday in the amount of $.15 a share. The company plans to double the dividend in ea
1 answer:
Answer:
Price = $8.92
Explanation:
Dividend from yr1 to yr3 will be multiplied by 2 since it doubles per year;
D1 = $0.15*2 = $0.30
D2 = $0.30 *2 = $0.60
D3 = $0.60 *2 = $1.20
D4 (onwards) = $1.50
Next, find the present value (PV) of each dividend;
PV(D1) = 0.30/(1.138) = 0.2636
PV (D2) = 0.60/(1.138²)= 0.4633
PV(D3 ) = 1.20/ (1.138³) = 0.8142
PV(D4 onwards) = = 7.3754
To find the price of the stock today, sum up present values above;
= 0.2636 + 0.4633 + 0.8142 + 7.3754
Price = $8.92
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Answer:
Explanation:
Data given and notation
represent the sample mean
represent the standard deviation for the sample
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to determine if the mean is lower than 5600, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
Answer:
Roderick will get $689.421 after 6 years
So option (d) is correct
Explanation:
We have given that Roderick invested $500 at a rate for 6 years
So principle amount P = $500
Rate of interest r = 5.5 %
Time n = 6 years
We have to find total amount which Roderick get after 6 years
We know that total amount is given by
So total amount
So Roderick will get $689.421 after 6 years
So option (d) is correct