Answer:
Option (b) Decline 20%
Explanation:
Data provided in the question:
Firm X has declared a stock dividend that pays one share of stock for every five shares owned
Therefore,
The increase in number of shares
= [ 1 ÷ 5 ] × 100%
= 20%
Thus,
The earnings per share will decrease by the amount of increase in number of shares i.e decrease by 20%
Hence,
Option (b) Decline 20%
<span>I would assume that customers arrive at the queue according to the poisson process, and then decide whether to enter the queue or leave as per the rules in the question.
for (a)
I interpret "enter the system" as "join the queue".
The expected time for this will be
E(time until there is a free slot) + E(time for someone to arrive once a slot is free).
Noting that the additional time taken for someone to arrive once a spot is free is independant of the time that the slot became free (memorylessness property of poisson process)
The waiting time of a Poisson(\lambda) is exp(\lambda) with mean \frac{1}{\lambda}
E(\text{Time someone enters the system})=\frac{1}{2\mu} + \frac{1}{\lambda}
Your post suggests you already understand where \frac{1}{2\mu} comes from.</span>
Answer:
Projects Y and Z
b. Projects W and Z
c. Projects W and Y
Explanation:
CAPM equation : Expected return = Risk free rate + Beta x (Expected market return - Risk free rate)
W = 4% + [0.85 x (11% - 4%)] = 9.95%
X = 4% + (0.92 x 7%) = 10.44%
Y = 4% + (1.09 x 7%) = 11.63%
Z = 4% + (1.35 x 7%) = 13.45%
Projects Y and Z have an expected return greater than 11%
b. Projects W and Z should be accepted because its expected return is higher than the IRR
c. Project W would be incorrectly rejected because the expected rate of return is less than the overall cost of capital (i.e. 9.95 is less than 11). But its expected rate of return is greater than the IRR
Y would be incorrectly accepted because its expected rate of return is greater than the overall cost of capital but its expected rate of return is less than the IRR
Answer:
Option (D) is correct.
Explanation:
1.We use the formula:
where
A=future value
P=present value
r=rate of interest
n=time period.
![A=1,060[(1.12)^{2}+(1.12)^{1} + 1]](https://tex.z-dn.net/?f=A%3D1%2C060%5B%281.12%29%5E%7B2%7D%2B%281.12%29%5E%7B1%7D%20%2B%201%5D)
= 1,060 [1.2544 + 1.12 + 1]
= 1,060 × 3.3744
= $3,576.864
Therefore, the amount of $3,576.864 will Ashley have to buy a new LCD TV at the end of three years.
(b) Future value of annuity due = Future value of annuity × (1 + interest rate)
= $3,576.86(1 + 0.12)
= $3,576.86 × 1.12
= $4,006.08
She will save around $4,006.08
