Answer:
i. Discounted cashflow equations.
a. $180,000 at the end of five years.
This is a lump sum present value/ discounted cashflow which can be calculated as;
Formula = 180,000 / ( 1 + r)^n
= 180,000/ ( 1 + 12%)^5
= $102,136.83
b. $11,400 a year forever
This is a perpetuity. The present value/ discounted cashflow of a perpetuity is calculated as;
Formula = Amount/rate
= 11,400/12%
= $95,000
c. $19,000 for each of 10 years.
This is an annuity. The formula for calculating the Present value/ discounted cashflow of an annuity is;
![Formula = Annuity * [\frac{( 1 - (1 + i)^{-n} )}{i} ]](https://tex.z-dn.net/?f=Formula%20%3D%20Annuity%20%2A%20%5B%5Cfrac%7B%28%201%20-%20%281%20%2B%20i%29%5E%7B-n%7D%20%29%7D%7Bi%7D%20%5D)
where <em>i </em>is interest rate and <em>n</em> is number of periods
![= 19,000 * [\frac{( 1 - (1 + 0.12)^{-10} )}{0.12} ]](https://tex.z-dn.net/?f=%3D%2019%2C000%20%2A%20%5B%5Cfrac%7B%28%201%20-%20%281%20%2B%200.12%29%5E%7B-10%7D%20%29%7D%7B0.12%7D%20%5D)
= $107,354.24
d. $6,500 next year and increasing thereafter by 5% a year forever.
This is a growing perpetuity. The present value/ discounted cashflow formula is;
= Amount / ( discount rate - growth rate)
= 6,500 / ( 12% - 5%)
= $92,857.14
ii. Choose <u>$19,000 for each of 10 years</u> as it has the highest present value.
Answer:
C. Sleeping in late and waking up early.
Explanation:
Two or more events are said to be mutually exclusive if and only if they can't happen at the same time.
Going with the above brief analysis, we.can easily say which of the pair of events is not mutually exclusive.
1. Rolling a 4 on a six-sided die and on a four-sided die
It's 100% possible to have an outcome of 4 when a 4 sided die and when a 6 sided die are rolled, whether at the same time or on different occasions. So, this pair of events are not mutually exclusive
2. Making rice and making corn
This pair of events are not mutually exclusive because it's possible to make rice and corn at the same time either together as a meal or separately using different cooking utensils
3. Sleeping in late and waking up early
This pair of events are mutually exclusive. This is so because literally, it's not possible to sleep late and wake up early at the same time.
You sleep early to wake early and you sleep late to wake late.
4. Going to work and riding the bus.
This pair of events are not mutually exclusive because they can occur at the same time when you go to work a bus.
So, option C is the correct answer
Answer:
$372,000
Explanation:
The computation of the amount to be reported in the balance sheet is shown below:
= Number of shares of common stock × fair value of the Papa stock on that date per share
= 6,200 shares × $60
= $372,000
Since in the question it is given that the Nana company does not have significant influence over Papa Company which means that the net income, retained earning, dividend is not be considered.
Therefore, the investment should be reported at the fair value
Answer:
The correct answer is letter "B": False.
Explanation:
The controlling function of management is characterized by having managers supervise employees on the progress of their tasks to find out if they are meeting the expectations the company has from them and to verify if they are reaching the objectives the firm hired them for. It has nothing to do with the fact of seeking and recruiting the best prospective employees for the job positions necessary in the organization.
Answer:
It offers an excellent combination of reach and frequency
Explanation:
The question basically seeks to extract the advantage of radio advertising in contemporary time. It must be noted that there are varying forms of advertisements, with one edging the other by one feature or the other.
The feature that ultimately stands radio advertising is the ubiquitous nature of its distribution. Simply put, it offers an excellent combination of reach and frequency. The implication of this is that the messages and information being passed out from this medium commands a far reach, attention and feedback from the larger audience.
While other listed options could be relevant, it must be stated that option A is the feature that categorically set radio advertisements apart from others.
