Answer:
the current share price is $73.31
Explanation:
The computation of the current share price is shown below:
P0 = [{D0 × (1 + g)} ÷ (1 + r1)] + [{D0 × (1 + g)^2} ÷ (1 + r1)^2] + [{D0 × (1 + g)^3} ÷ (1 + r1)^3] + [{D0 × (1 + g)^4} ÷ {(1 + r1)^3(1 + r2)}] + [{D0 × (1 + g)^5} ÷ {(1 + r1)^3(1 + r2)^2] + [{D0 × (1 + g)^6} ÷ {(1 + r1)^3(1 + r2)^3] + [{D0 × (1 + g)^7} ÷ {(rC - g)(1 + r1)^3(1 + r2)^3]
= [($4 × 1.06) ÷ 1.15] + [($4 × 1.062) ÷ 1.152] + [($4 × 1.063) ÷ 1.153] + [($4 × 1.064) ÷ (1.153 × 1.13)]
+ [($4 × 1.065) ÷ (1.153 × 1.132)] + [($4 × 1.066) ÷ (1.153 × 1.133)] + [($4 × 1.067) ÷ {(0.11 - 0.06)(1.153 × 1.133)}]
= $3.69 + $3.40 + $3.13 + $2.94 + $2.76 + $2.59 + $54.82
= $73.31
hence, the current share price is $73.31
Answer:
$46.51
Explanation:
The weighted arithmetic mean can be defined as:
![M = \frac{n1P1 + n2P2 +n3P3}{n1 +n2+n3}](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7Bn1P1%20%2B%20n2P2%20%2Bn3P3%7D%7Bn1%20%2Bn2%2Bn3%7D)
Where n is the number of shares and P is the share price, then:
![M= \frac{50*104 + 100*25.25+ 20*9.125}{50+100+20} \\ M= \frac{7907.5}{170}\\M= 46.514](https://tex.z-dn.net/?f=M%3D%20%5Cfrac%7B50%2A104%20%2B%20100%2A25.25%2B%2020%2A9.125%7D%7B50%2B100%2B20%7D%20%5C%5C%20M%3D%20%5Cfrac%7B7907.5%7D%7B170%7D%5C%5CM%3D%2046.514)
Based on this, the weighted arithmetic mean price per share is $46.51
Answer:
Option D.
Explanation:
Given information:
![Q_1=200, Q_2=400](https://tex.z-dn.net/?f=Q_1%3D200%2C%20Q_2%3D400)
![P_1=225, P_2=175](https://tex.z-dn.net/?f=P_1%3D225%2C%20P_2%3D175)
Formula for price elasticity of demand is
![E_d=\frac{Q_2-Q_1}{P_2-P_1}\times \frac{P_1+P_2}{Q_1+Q_2}](https://tex.z-dn.net/?f=E_d%3D%5Cfrac%7BQ_2-Q_1%7D%7BP_2-P_1%7D%5Ctimes%20%5Cfrac%7BP_1%2BP_2%7D%7BQ_1%2BQ_2%7D)
Substitute the given values in the above formula.
![E_d=\frac{400-200}{175-225}\times \frac{225+175}{200+400}](https://tex.z-dn.net/?f=E_d%3D%5Cfrac%7B400-200%7D%7B175-225%7D%5Ctimes%20%5Cfrac%7B225%2B175%7D%7B200%2B400%7D)
![E_d=\frac{200}{-50}\times \frac{400}{600}](https://tex.z-dn.net/?f=E_d%3D%5Cfrac%7B200%7D%7B-50%7D%5Ctimes%20%5Cfrac%7B400%7D%7B600%7D)
![E_d=-\frac{8}{3}](https://tex.z-dn.net/?f=E_d%3D-%5Cfrac%7B8%7D%7B3%7D)
![E_d\approx -2.67](https://tex.z-dn.net/?f=E_d%5Capprox%20-2.67)
Absolute value is
![|E_d|= |-2.67|=2.67](https://tex.z-dn.net/?f=%7CE_d%7C%3D%20%7C-2.67%7C%3D2.67)
The absolute value of the price elasticity of demand for DVD players is 2.67.
Therefore, the correct option is D.
Answer:
$459,000
Explanation:
The computation of the ending retained earning balance is shown below:
Ending retained earning balance is
= Opening retained earning balance + net income - dividend
where
Net income
= Service revenue - operating expenses
= $827,000 - $748,000
= $79,000
Now the ending retained earnings balance is
= $444,000 + $79,000 - $64,000
= $459,000
Answer:
The correct answer is option c.
Explanation:
The law of diminishing returns states that as we go on employing additional inputs the return or payoff from each unit of input will become smaller or go on declining. This means that after a certain point the total output will start increasing on a decreasing rate as we go on hiring more inputs.
In other words, the marginal product of inputs will go on declining with each additional unit of input employed. As a result after reaching a certain point, the marginal product starts to decline.