All categories

2 years ago

Consider the production function

Business

1 answer:

hichkok12 [17]2 years ago

6 0

Answer:

Requirement 1: Production Output will be 61.42 Units.

Requirement 2: Production Output will be doubled.

Requirement 3: Constant Returns to Scale

Explanation:

Requirement 1:

The output at K=46 and N=82 is given as under:

Y = (46)^1/2 * (82)^1/2

Y = 61.42 Units

Requirement 2:

Now if we double "K" and "N" then:

Y' = (2K)^1/2 * (2N)^1/2

Y' = 2 [(K)^1/2 * (N)^1/2]

Y' = 2Y

This means that the output will be doubled.

Requirement 3:

Option A. Constant Returns to Scale

Constant returns to scale occurs when the increase in the input causes same proportional increase in the production output. Such same proportional increase in the production output is referred to as Constant Returns to Scale.

In the given scenario, as the production output doubles with the doubling of input which was seen in the requirement above. We can say that the production function is characterized by Constant Returns to Scale.

You might be interested in

Consider the following limit order book for a share of stock. The last trade in the stock occurred at a price of $70. Limit Buy

harkovskaia [24]

Answer:

$69.80

Explanation:

Note, a market order is an order designed to execute an order immediately by matching the best available price on the sell order list.

When we look carefully at the sell order book, we observe that the only sell order containing the specified quantity of 120 units of shares at a price close to the market price is $69.80. Even though there are other cheaper orders are available, their order quantity does not match the market buy order for the 120 shares and thus would not be filled.

7 0

2 years ago

What is is the most important factor in what a nation produces and trades

Serga [27]

The most important factor is currency exchange rate.

5 0

3 years ago

_____ advertising is done by local merchants to encourage consumers to shop at a specific store, use a local service, or patroni

ololo11 [35]

Answer:

The correct answer is letter "D": Retail.

Explanation:

Retail advertising is developed by retailers to attract consumers to their local stores. This type of marketing may not be necessarily focused on the product features but how they are sold, meaning in bundles or at discount. It is the final merchandising made to products before they reach end-consumers.

8 0

3 years ago

Which of the following does not influence parent-child relationship

NISA [10]

Answer:

Monetary Contribution

Explanation:

Parent-child relationship refers to the way the parents nurture the social, physiological, and psychological development of the children.

Monetary contribution implied that in order for parents to give love and care to the children, the children need to provide the parents with a certain amount of money in return.

The type of care and attention that parents give to their children tend to be voluntary. It's purely based on unconditional love and affection. This is why we don't consider monetary contribution as a factor that influence parent-child relationship.

6 0

2 years ago

Instructions: Please make sure that you show all your work when solving the problems. Feel free to make any assumptions whenever

My name is Ann [436]

Answer:

Explanation:

From the given information:

The current price = $\dfrac{Dividend(D_o) \times (1+ Growth \ rate) }{\text{Cost of capital -Growth rate}}$

$15 = \dfrac{0.50 \times (1+ Growth rate)}{8\%-Growth rate}$

$15 \times (8 -Growth \ rate) = 0.50 +(0.50 \times growth \ rate)$

$1.20 - (15 \times Growth \ rate) = 0.50 + (0.50 \times growth \ rate)$

$0.70 = (15 \times growth \ rate) \\ \\ Growth \ rate = \dfrac{0.70}{15.50} \\ \\ Growth \ rate = 0.04516 \\ \\ Growth \ rate \simeq 4.52\% \\ \\$

2. The value of the stock

Calculate the earnings at the end of 5 years:

$Earnings (E_o) \times Dividend \ payout \ ratio = Dividend (D_o) \\ \\ Earnings (E_o) \times 35\% = \$0.50 \\ \\ Earnings (E_o) =\dfrac{\$0.50}{35\%} \\ \\ = \$1.42857$

$Earnings (E_5) year \ 5 = Earnings (E_o) \times (1 + Growth \ rate)^{no \ of \ years} \\ \\ Earnings (E_5) year \ 5 = \$1.42857 \times (1 + 12\%)^5 \\ \\ Earnings (E_5) year \ 5 = \$2.51763$

Terminal value year 5 = $\dfrac{Earnings (E_5) \times (1+ Growth \ rate)}{Interest \ rate - Growth \ rate}$

$=\dfrac{\$2.51763\times (1+0.04516)}{8\%-0.04516}$

=$75.526

Discount all potential future cash flows as follows to determine the stock's value:

$\text{Value of stock today} =\bigg( \sum \limits ^{\text{no of years}}_{year =1} \dfrac{Dividend (D_o) \times 1 +Growth rate ) ^{\text{no of years}}}{(1+ interest rate )^{no\ of\ years} }$

$+ \dfrac{Terminal\ Value }{(1+interest \ rate )^{no \ of \ years}} \Bigg)$

$\implies \bigg(\dfrac{\$0.50\times (1 + 12\%)^1) }{(1+ 8\%)^{1} }+ \dfrac{\$0.50\times (1+12\%)^2 }{(1+8\% )^{2}}+ \dfrac{\$0.50\times (1+12\%)^3 }{(1+8\% )^{3}} + \dfrac{\$0.50\times (1+12\%)^4 }{(1+8\% )^{4}} + \dfrac{\$0.50\times (1+12\%)^5 }{(1+8\% )^{5}} + \dfrac{\$75.526}{(1+8\% )^{5}} \bigg )$

$\implies \bigg(\dfrac{\$0.5600}{1.0800}+\dfrac{\$0.62720}{1.16640}+\dfrac{\$0.70246}{1.2597}+\dfrac{\$0.78676}{1.3605}+\dfrac{\$0.88117}{1.4693}+ \dfrac{\$75.526}{1.4693} \bigg)$

=$ 54.1945

As a result, the analysts value the stock at $54.20, which is below their own estimates.

3. The value of the stock

Calculate the earnings at the end of 5 years:

$Earnings (E_o) \times Dividend payout ratio = Dividend (D_o) \\ \\ Earnings (E_o) \times 35\% = \$0.50 \\ \\ Earnings (E_o) =\dfrac{\$0.50}{35\%}\\ \\ = \$1.42857$

$Earnings (E_5) year \ 5 = Earnings (E_o) \times (1 + Growth \ rate)^{no \ of \ years} \\ \\ Earnings (E_5) year \ 5 = \$1.42857 \times (1 + 12\%)^5 \\ \\ Earnings (E_5) year \ 5 = \$2.51763 \\ \\$

Terminal value year 5 = $\dfrac{Earnings (E_5) \times (1+ Growth \ rate)\times dividend \ payout \ ratio}{Interest \ rate - Growth \ rate}$

$=\dfrac{\$2.51763\times (1+ 7 \%) \times 20\%}{8\%-7\%}$

=$53.8773

Discount all potential cash flows as follows to determine the stock's value:

$\text{Value of stock today} =\bigg( \sum \limits ^{\text{no of years}}_{year =1} \dfrac{Dividend (D_o) \times 1 + Growth rate ) ^{\text{no of years}}}{(1+ interest rate )^{no \ of\ years} }+ \dfrac{Terminal \ Value }{(1+interest \ rate )^{no \ of \ years }} \bigg)$

$\implies \bigg( \dfrac{\$0.50\times (1 + 12\%)^1) }{(1+ 8\%)^{1} }+ \dfrac{\$0.50\times (1+12\%)^2 }{(1+8\% )^{2}}+ \dfrac{\$0.50\times (1+12\%)^3 }{(1+8\% )^{3}} + \dfrac{\$0.50\times (1+12\%)^4 }{(1+8\% )^{4}} + \dfrac{\$0.50\times (1+12\%)^5 }{(1+8\% )^{5}} + \dfrac{\$53.8773}{(1+8\% )^{5}} \bigg)$

$\implies \bigg (\dfrac{\$0.5600}{1.0800}+\dfrac{\$0.62720}{1.16640}+\dfrac{\$0.70246}{1.2597}+\dfrac{\$0.78676}{1.3605}+\dfrac{\$0.88117}{1.4693}+ \dfrac{\$53.8773}{1.4693} \bigg)$

=$39.460

As a result, the price is $39.460, and the other strategy would raise the value of the shareholders. Not this one, since paying a 100% dividend would result in a price of $54.20, which is higher than the current price.

Notice that the third question depicts the situation after 5 years, but the final decision will be the same since we are discounting in current terms. If compounding is used, the future value over 5 years is just the same as the first choice, which is the better option.

The presumption in the second portion is that after 5 years, the steady growth rate would be the same as measured in the first part (1).

8 0

3 years ago