The applicable formula is;
A = P(1-r)^n
Where;
A = Final purchasing power
P = Current purchasing power
r = inflation
n = Number of years when P changes to A
Confirming the first claim:
A = 1/2P (to be confirmed)
P = $3
r = 7% = 0.07
n = 10.25 years
Using the formula;
A = 3(1-0.07)^10.25 = 3(0.475) ≈ 3(0.5) = $1.5
And therefore, A = 1/2P after 10.25 years.
Now, give;
P = $9
A = 1/4P = $9/4 = $2.25
r = 6.5% = 0.065
n = ? (nearest year).
Substituting;
2.25 = 9(1-0.065)^n
2.25/9 = (1-0.065)^n
0.25 = (1-0.065)^n
ln (0.25)= n ln(1-0.065)
-1.3863 = -0.0672n
n = (-1.3863)/(-0.0672) = 20.63 years
To nearest year;
n = 21 years
Therefore, it would take approximately 21 years fro purchasing power to reduce by 4. That is, from $9 to $2.25.
Answer:
False
Explanation:
Contribution margin per unit = Sales - variable cost
Contribution margin per unit (Model A) = $432 - $404
Contribution margin per unit (Model A) = $28 per unit
Contribution margin per unit (Model B) = $410 - $304
Contribution margin per unit (Model B) = $106 per unit
False, Contribution margin per unit (Model B) is higher so, motivated to push sales of Model A will be false.
Break-even in units = Fixed cost / Contribution margin per unit
Break-even in units (Model A) = Fixed cost / $28
Break-even in units (Model B) = Fixed cost / $106
Answer:
$25,400
Explanation:
Equity which represents the amount owed to the owners of the business includes retained earnings (which is the accumulation of the net income/loss over the years less dividends paid) and common shares.
The movement in the retained earnings balance may be expressed as
Opening balance + net income - cash dividend paid = closing retained earnings balance
Cash dividend declared - Cash dividend paid = Cash dividend payable
$49,000 - Cash dividend paid = $23,600
Cash dividend paid = $49,000 - $23,600
= $25,400
Answer:
Residual Income = $6,000
Explanation:
Residual income is the excess income of a firm leftover the opportunity cost of capital or over the desired income.
Given,
The minimum rate of return 12%
Average operating assets = $300,000
Net operating income = $42,000
We know,
Residual Income = Net Operating Income - (Average operating assets x the minimum rate of return)
Residual Income = $42,000 - ($300,000 x 12%)
Residual Income = $42,000 - $36,000
Residual Income = $6,000
