Answer:
-5.14 for sam
-18.01% for dave
Explanation:
We first calculate for Sam
R = 7.3%
We have 2% increase
= 9.3%
We calculate for present value of coupon and present value at maturity using the formula for present value in the attachment
To get C
1000 x 0.073/2
= 36.5
time= 3 years x 2 times payment = 6
Ytm = rate = 9.3%/2 = 0.0465
Putting values into the formula
36.5[1-(1+0.0465)^-6/0.0465]
= 36.5(1-0.7613/0.0465)
36.5(0.2385/0.0465)
= 36.5 x 5.129
Present value of coupon = 187.20
We solve for maturity
M = 1000
T = 6 months
R = 0.0465
1000/(1+0.0465)⁶
= 1000/1.3135
Present value = 761.32
We add up the value of present value at maturity and that at coupon
761.32 + 187.20
= $948.52
Change in % = 948.52/1000 - 1
= -0.05148
= -5.14 for sam
We calculate for Dave
He has 20 years and payment is two times yearly
= 20x2 = 40
36.5 [1-(1+0.0465)^-40/0.0465]
Present value = 36.5 x 18.014
= 657.511
At maturity,
Present value = 1000/(1+0.0465)⁴⁰
= 1000/6.1598
= 162.34
We add up these present values
= 657.511+162.34 = $819.851
Change = 819.851/1000 -1
= -0.1801
= -18.01%
Answer:
The total amount of dividends paid over these three years: $8000
Explanation:
- Net income (loss) in three years
$7,100, ($1,600), and $3,600
=> the total net income is the first three years of operation is:
$7,100 - ($1,600) + $3,600
= $9,100
This money is not kept in the Retained Earnings because it is used for dividend payment. But Earnings balance at the end of year three is $1,100, so the total amount of dividends paid over these three years:
= Total net incomes - Retained Earnings
= $9,100 - $1,100,
= $8000
Hope it will find you well.
Answer:
Re = 8.79%
Explanation:
annual growth rates:
($1.38 - $1.25) / $1.25 = 0.104
($1.49 - $1.38) / $1.38 = 0.078
($1.60 - $1.49) / $1.49 = 0.074
($1.69 - $1.60) / $1.60 = 0.056
geometric growth rate = ⁴√(1.104 x 1.078 x 1.074 x 1.056) - 1 = ⁴√1.34976 - 1 = 1.0779 - 1 = 0.0779 = 7.79%
P₀ = Div₁ / (Re - g)
$199 = $2 / (Re - 0.0779)
Re - 0.0779 = $2 / $199 = 0.01
Re = 0.01 + 0.0779 = 0.0879 = 8.79%
It will decrease
because the marginal productivities of workers will decrease. Diminishing marginal product occurs when the
marginal product of an input goes down as the quantity of the input goes up. The transformation in product resulting from
employing one more unit of a particular input for instance, the change in
output when a firm's labor is mark up from five to six units, assuming that the
mass of other product are kept constant is
called The input of marginal product or marginal physical product.
