People migrating from other countries couples having more than two babies
Answer:
Do = $2.00
D1= Do(1+g)1 = $2(1+0.2)1 = $2.40
D2= Do(1+g)2 = $2(1+0.2)2 = $2.88
D3= Do(1+g)3 = $2(1+0.2)3 = $3.456
D4= Do(1+g)4 = $2(1+0.2)4 = $4.1472
D5= Do(1+g)5 = $2(1+0.2)5 = $4.97664
PHASE 1
V1 = D1/1+ke + D2/(1+ke)2 + D3/(1+ke)3 +D4/(1+ke)4 + D5/(1+ke)5
V1 = 2.40/(1+0.15) + 2.88/(1+0.15)2 + 3.456/(1+0.15)3 + 4.1472/(1+0.15)4 + 4.97664/(1+0.15)5
V1 = $2.0870 + $2.1777 + $2.2723 + $2.3712 + $2.4742
V1 = $11.3824
PHASE 2
V2 = DN(1+g)/ (Ke-g )(1+k e)n
V2 = $4.97664(1+0.02)/(0.15-0.02)(1+0.02)5
V2 = $5.0762/0.1435
V2 = $35.3742
Po = V1 + V2
Po = $11.3824 + $35.3742
Po = $46.76
Explanation: This is a typical question on valuation of shares with two growth rate regimes. In the first phase, the value of the share would be obtained by capitalizing the dividend for each year by the cost of equity of the company. The dividend for year 1 to year 5 was obtained by subjecting the current dividend paid(Do) to growth rate. The growth rate In the first regime was 20%.
In the second phase, the value of shares would be calculated by taking cognizance of the second growth rate of 2%. In this phase, the last dividend paid in year 5 would be discounted at the appropriate discount rate after it has been adjusted for growth.
Answer:
$40,000
Explanation:
Calculation to determine the amount of dividends received by the common stockholders in 2017
First step is to calculate the preferred stock
Preferred stock=(5,000 shares*$400)*6%
Preferred stock=$2,000,000*6%
Preferred stock=$120,000
Now let calculate the amount of dividends received by the common stockholders in 2017
Dividend Received=($200,000-$120,000)/2
Dividend Received=$80,000/2
Dividend Received=$40,000
Therefore the amount of dividends received by the common stockholders in 2017 will be$40,000
Answer: ER(P) = ERX(WX) + ERY(WY)
16 = 13(1-WY) + 9(WY)
16 = 13 - 13WY + 9WY
16 = 13 - 4WY
4WY = 13-16
4WY = -3
WY = -3/4
WY = -0.75
WX = 1 - WY
WX = 1 - (-0.75)
WX = 1 + 0.75
WX = 1.75
The amount to be invested in stock Y = -0.75 x $106,000
= -$79,500
The Beta of the portfolio could be calculated using the formula:
BP = BX(WX) + BY(WY)
BP = 1.14(1.75) + 0.84(-0.75)
BP = 1.995 - 0.63
BP = 1.365
Explanation: The expected return of the portfolio is equal to expected return of stock X multiplied by the weight of stock X plus the expected return of stock Y multiplied by weight of security Y. The weight of security Y is -0.75. The weight of security X is equal to 1 - weight of security Y. Thus, the weight of security X is 1.75 since the weight of security Y is negative. The amount to be invested in security Y is -0.75 x $106,000, which is equal to -$79,500
The Beta of the portfolio equals Beta of stock X multiplied by weight of stock X plus the Beta of stock Y multiplied by weight of stock Y. The weights of the two stocks have been obtained earlier. Therefore, the Beta of the portfolio is 1.365.
