Answer:
<u>A. A perpetuity is a stream of regularly timed, equal cash flows that continue forever</u>
<u>D. The current value of a perpetuity is based more on the discounted value of its nearer (in time) cash flows and less by the discounted value of its more distance (in the future) cash flows.</u>
<u>Explanation:</u>
First, we need to note that perpetuity is a term used in finance to refer to any continuous periodic payments of equal face value. In other words, the payments last forever.
Part of the characteristics of perpetuity is that the payments are of equal cash value and <em>the current value of a perpetuity is based more on the discounted value of its nearer (in time) cash flows</em> rather than by the discounted value of its more distance (in the future) cash flow.
Answer:
Objective function (maximize)
Constraints
- Availabitily of salt: 
- Availability of herbs: 
- Availability of flour: 
Explanation:
This a linear programming problem. We have an objective function (in this case it is the profit) that we want to optimize, but complying with constraints (in this case, the availability of ingredients).
The objective function can be defined taking into account the profits of the two kind of chips:
The constraints can be expressed taking into account the amount of ingredients every unit of chip needs and stating that it has to be less or equal to the availability of this ingredient:
- Availabitily of salt:
- Availability of herbs
- Availability of flour
With these expressions the linear programming problem can be solved.
Answer and Explanation:
a. Here it is reasonable to presume that the treasury bond generates high returns when there is a recession.
b. The calculation of the expected rate of return and the standard deviation for each investment is shown below:
For stocks
= (Expected return of the boom × weightage of boom) + (expected return of the normal economy × weightage of normal economy) + (expected return of the recession × weightage of recession)
= (29% × 0.30) + (18% × 0.50) + (-4% × 0.20)
= 8.7% + 9% - 0.80%
= 16.9%
For bonds
= (Expected return of the boom × weightage of boom) + (expected return of the normal economy × weightage of normal economy) + (expected return of the recession × weightage of recession)
= (6% × 0.30) + (9% × 0.50) + (16% × 0.20)
= 1.8% + 4.5% + 3.2%
= 9.5%
Now the standard deviation calculation is to be shown in the excel spreadsheet
For the stock it is 11.48%
And, for the bond it is 3.5%
c. The investment that should be prefer could be computed by determine the coefficient of variation which is shown below:
Formula i.e. used is
= Standard deviation ÷ expected return
For stock, it is
= 16.9% ÷ 11.48%
= 1.47
And, for bonds it is
= 9.5% ÷ 3.5%
= 2.71
Since for the bonds the coefficient of variation is greater so the same is to be considered
Therefore the bond should be prefer
Answer:
The temporary unemployment resulting from such sectoral shifts in the economy is best described as frictional unemployment.
This is because it is temporary and people in the affected sector could opt for jobs in other performing sectors of the economy.
Explanation:
Suppose the world price of cotton falls substantially, the following scenario will ensue.
The demand for labor among cotton-producing firms in Texas will reduce .
The demand for labor among textile-producing firms in South Carolina, for which cotton is an input, will also decline .
The temporary unemployment resulting from such sectoral shifts in the economy is best described as frictional unemployment.
Frictional unemployment is seasonal employment that could occur when there is no demand or work period is completed unlike structural unemployment that can last for long.
It is a temporary unemployment situation because workers in the cotton industry could opt for jobs in other performing sectors of the economy.
Answer:
Net Increase in cash = $124,200
Explanation:
Note: The correct value for Year 2021 inventory is $510,300 not $10,300.
Also note: See the attached excel file for the statement of cash flows for 2022.
In the attached excel file, the following workings are used:
Workings:
w.1: Increase in accounts receivable = Account receivable in 2022 - Account receivable in 2021 = $237,600 - $205,200 = $32,400
w.2: Decrease in inventory = Inventory in 2022 - Inventory in 2021 = $450,900 - $510,300 = -$59,400
w.3: Decrease in accounts payable = Accounts receivable 2022 - Accounts receivable 2021 = $105,300 - $116,100 = -$10,800
w.4: Disposal of land = Land in 2021 - Land in 2022 = $270,000 - $216,000 = $54,000
w.5: Purchase of equipment = Equipment in 2022 - Equipment in 2021 = $702,000 - $540,000 = $162,000
