Suppose that the current one-year rate (one-year spot rate) and expected one-year t-bill rates over the following three years (i. e., years 2, 3, and 4, respectively) are as follows: 1 r 1 = 5 percent, e( 2 r 1) = 6 percent, e( 3 r 1) = 7.5 percent e( 4 r 1) = 6.85 percent using the unbiased expectations theory, calculate the current (long-term) rates for one-, two-, three-, and four-year-maturity treasury securities. 5.00 percent, 5.25 percent, 6.10 percent, 6.27 percent 5.00 percent, 5.25 percent, 6.16 percent, 6.49 percent 5.00 percent, 5.50 percent, 6.10 percent, 6.23 percent 5.00 percent, 5.50 percent, 6.16 percent, 6.33 percent
i think it c but not sure
128/240 = 0.53 (rounded)
0.53 = 53%
To find the percent divide the number who will vote for Candidate A over the total number of people surveyed
vote for Candidate A/total surveyed
Rounded to the nearest percent=53%
Hope this helps! :)
Option E is correct. Pay out ratio is 73.74 %
Payout ratio shows how much portion of the net earning the company pay to its shareholders in form of cash dividend. Higher pay out ratio implies that company pay large portion of its earning to shareholder.
Mathematically, pay out ratio is = 1 - Retention Ratio (a)
Retention ration shows portion of the earning that the company has retained for future investment or operation or growth.
Growth rate = 5 % or 0.05
Debt to equity ratio = 0.55
Assets turn over = 1.30
Profit Margin = 9 % or 0.09
Retention ration can be calculated from sustainable growth ratio formula.
Sustainable growth rate = Retention ratio x Return on equity
Sustainable growth rate means the growth rate that the company wants to maintain in future.
Retention ratio = Sustainable growth rate / Return on equity (b)
Return on equity is not given the question but it can be calculated from Du Pont equation.
According to Du Pont equation,
Return on Equity = Profit Margin x Assets Turn Over x Financial leverage
Return on Equity = 0.09 x 1.30 x ( 1 + 0.55) = 0.18135
Let r be retention ratio, Then
Sustainable growth rate = (0.18135 x r)/ ( 1- (0.18135 x r))
0.05 = (0.18135 x r)/ ( 1- (0.18135 x r))
r = 0.2626 = Retention ratio
Putting the value of retention ratio in equation (a)
Payout ratio = 1 - Retention ratio = 1 - 0.2626 = 0.7374 or 73.74 %.
p = 0.574197
There are 14000 ballots left.
The lead is 2174, so he needs to lead at least 2175 in these 14000 ballots.
He does so if he gets at least 8088 votes.
If P(x >= 8088) = 0.20, then the corresponding z score to this is, by table/technology,
z = 0.841621234
z = (x - u) / s
u= n p
s = sqrt(n p(1-p))
0.841621234 = (8088 - 14000*p) / sqrt(14000p(1-p))
Solving for p here,
p = 0.574197
answer; /// i believe the correct answer is (all of the above);