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Lady bird [3.3K]
2 years ago
14

Let's say that you choose to buy bread in a grocery store. According to the marginal benefit and marginal cost principle, how ma

ny loaves of bread will you purchase if you know the following:
A loaf of bread costs $2.00. Each dollar is worth 100 utils to you (so $2 is worth 200 utils). The first loaf of bread gives you 400 utils of satisfaction. The second loaf of bread gives you 320 utils of satisfaction. The third loaf of bread gives you 280 utils of satisfaction. The fourth loaf of bread gives you 220 utils of satisfaction. The fifth loaf of bread gives you 160 utils of satisfaction. The sixth loaf of bread gives you 30 utils of satisfaction. The seventh loaf of bread gives you no more additional utils.

1. Four loaves.
2. One loaf.
3. Three loaves.
4. Two loaves.
5. Six loaves.
6. Five loaves.
7. Seven loaves.
Business
1 answer:
snow_lady [41]2 years ago
8 0
Six is your answer because if it cost $2.00 and you have 4 it makes sense
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What is the present value of the future cash flows, if you also could earn $110,000 per year rent on the property? The rent is p
dem82 [27]

Answer:

a. The present value of the sales price is $1.657 million.

b. No. This is because an investment in the property will result in a negative net present value (NPV) of $0.443 million.

c-1. The present value of the future cash flows is $2.122 million.

c-2. Yes. Yes. This is because an investment in the property will result in a positive net present value (NPV) of $0.022 million.

Explanation:

Note: This question is not complete. The complete question is therefore presented before answering the question as follows:

You can buy property today for $2.1 million and sell it in 6 years for $3.1 million. (You earn no rental income on the property.)

a. If the interest rate is 11%, what is the present value of the sales price? (Do not round intermediate calculations. Enter your answer in millions rounded to 3 decimal places.)

b. Is the property investment attractive to you?

c-1. What is the present value of the future cash flows, if you also could earn $110,000 per year rent on the property? The rent is paid at the end of each year. (Do not round intermediate calculations. Enter your answer in millions rounded to 3 decimal places.)

c-2. Is the property investment attractive to you now?

The explanation to the answers is now provided as follows:

a. If the interest rate is 11%, what is the present value of the sales price? (Do not round intermediate calculations. Enter your answer in millions rounded to 3 decimal places.)

The present value of the sales price can be calculated using the simple present value formula as follows:

PV = FV / (1 + r)^n ……………………….. (1)

Where;

PV = Present value of the sales price = ?

FV = Future value or the sales price in 6 years = $3.1 million

r = interest rate = 11%, or 0.11

n = number of years = 6

Substitute the values into equation (1), we have:

PV = $3.1 / (1 + 0.11)^6

PV = $3.1 / 1.11^6

PV = $3.1 / 1.870414552161

PV = $1.65738659187525 million

Rounding to 3 decimal places, we have:

PV = $1.657 million

Therefore, the present value of the sales price is $1.657 million.

b. Is the property investment attractive to you?

No. This is because an investment in the property will result in a negative net present value (NPV) of $0.443 million.

The negative net present value (NPV) of $0.443 million is determined as follows:

NPV = Present value of the sales price - Acquisition cost = $1.657 million - $2.1 million = -$0.443 million

c-1. What is the present value of the future cash flows, if you also could earn $110,000 per year rent on the property? The rent is paid at the end of each year. (Do not round intermediate calculations. Enter your answer in millions rounded to 3 decimal places.)

The present value of the future cash flows can be calculated using the following steps:

<u>Step 1: Calculation of the present value of the $110,000 per year rent</u>

Since the rent is paid at end of each year, this can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PVR = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (2)

Where;

PVR = Present value of yearly rent = ?

P = Annual rent =$110,000

r = interest rate = 11%, or 0.11

n = number of years = 6

Substitute the values into equation (2) to have:

PVR = $110,000 * ((1 - (1 / (1 + 0.11))^6) / 0.11)

PVR = $110,000 * 4.23053785373826

PVR = $465,359.163911209

Converting to million and rounded to 3 decimal places, we have:

PVR = $0.465 million

<u>Step 2: Calculation of the present value of the future cash flows</u>

Present value of future cash flows = Present value sales price + Present value of annual rent ……. (3)

Where;

Present value sales price = $1.657 million, as already calculate in part a above

Present value of annual rent = PVR = $0.465 million

Substituting the values into equation (3), we have:

Present value of future cash flows = $1.657 million + $0.465 million = $2.122 million

Therefore, the present value of the future cash flows is $2.122 million.

c-2. Is the property investment attractive to you now?

Yes. This is because an investment in the property will result in a positive net present value (NPV) of $0.022 million.

The positive net present value (NPV) of $0.022 million is determined as follows:

NPV = Present value of tof the future cash flows - Acquisition cost = $2.122 million - $2.1 million = 0.0219999999999998 million

Converting to million and rounded to 3 decimal places, we have:

NPV = $0.022 million

6 0
2 years ago
Careco Company and Audaco Inc are identical in size and capital structure. However, the riskiness of their assets and cash flows
LenKa [72]

Answer:

E) if the firm evaluates these projects and all other projects at the new overall corporate wacc, it will probably become riskier over time.

Explanation:

Before the merger, Audaco would have rejected any project with an IRR of less than 12% (more risky investments) while Careco only required a 10% IRR (less risky projects). But after the merger the combined WACC will be lower than Audaco's, but higher than Careco's. Therefore, the new merged company will start accepting more risky projects and that tendency will continue over time. Eventually, the company's WACC will have to adjust and increase, and the cycle will continue.

5 0
2 years ago
The pdca cycle is a powerful approach for problem solving as it provides the foundation for teams to
natima [27]

The pdca cycle is a powerful approach for problem solving as it provides the foundation for teams to figure out ways to change and implement new ideas within their group setting and project or business. The PDCA stands for plan-do-check-act. In the planning stage your team will plan by determining what the problem is and what ways to fix it. In the do stage, your team will act on the ways you can solve the problem. In the check stage you are looking to check your work and see what worked and what needs to be changed. The final stage is the act stage which if you find solutions that work, implement them moving forward.


4 0
2 years ago
A company purchased a tract of land for its natural resources at a cost of $1,500,000. It expects to mine 2,000,000 tons of ore
Natasha2012 [34]

Answer:

Option c is the correct answer.

Explanation:

The depletion expense or charge for the period can be calculated using the following formula,

Depletion expense = [(Cost - Salvage Value) / Total units expected to be mined] * Units mined during the period

Depletion expense = [(1500000 - 250000) / 2000000] * 150000

Depletion expense = $93750

The entry to record the expense is,

Depletion expense            93750 Dr

     Accumulated depletion         93750 Cr

So, option c is the correct answer.

7 0
2 years ago
Pendergast, Inc., has no debt outstanding, and has a total market value of $180,000. Earnings before interest and taxes (EBIT) a
satela [25.4K]

Answer:

See the explanation below:

Explanation:

a- Calculate ROE and EPS under each of the economic scenarios before any debt is issued.

Under an expansion

Earnings before interest and taxes (EBIT) = $23,000 * (100% + 20%) = $27,600

Earnings after taxes = $27,600 * (100% - 35%) = $17,940

Return on equity (ROE) = Earnings after taxes / Total market value of equity = $17,940 / $180,000 =

0.0997, or 9.97%

Earnings per share (EPS) = Earnings after taxes / Number of shares of stock outstanding = $17,940 /

6,000 = $2.99 per share

Under a recession

Earnings before interest and taxes (EBIT) = $23,000 * (100% - 30%) = $16,100

Earnings after taxes = $16,100 * (100% - 35%) = $10,465

Return on equity (ROE) = Earnings after taxes / Total market value of equity = $10,465 / $180,000 =

0.0581, or 5.81%

Earnings per share (EPS) = Earnings after taxes / Number of shares of stock outstanding = $10,465 /

6,000 = $1.74 per share

b- Repeat part a, assuming that the company goes through with the capitalization.

Under an expansion

Earnings before interest and taxes (EBIT) = $23,000 * (100% + 20%) = $27,600

Interest on debt = $75,000 * 7% = $5,250

Page 2 of 2

Earnings after interest = $27,600 - $5,250 = $22,350

Earnings after taxes = $22,350 * (100% - 35%) = $14,527.50

Return on equity (ROE) = Earnings after taxes / Total market value of equity = $14,527.50/ $180,000 =

0.0807, or 8.07%

Earnings per share (EPS) = Earnings after taxes / Number of shares of stock outstanding = $14,527.50 /

6,000 = $2.42 per share

Under a recession

Earnings before interest and taxes (EBIT) = $23,000 * (100% - 30%) = $16,100

Interest on debt = $75,000 * 7% = $5,250

Earnings after interest = $16,100 - $5,250 = $10,850

Earnings after taxes = $10,850 * (100% - 35%) = $7,052.50

Return on equity (ROE) = Earnings after taxes / Total market value of equity = $7,052.50 / $180,000 =

0.0392, or 3.92%

Earnings per share (EPS) = Earnings after taxes / Number of shares of stock outstanding = $7,052.50 /

6,000 = $1.18 per share

c- Calculate the percentage changes in EPS when the economy expands or enters a recession.

Percentage change under expansion = ($2.42 - $2.99)/$2.99 = 0.1902 decrease, or 19.02% decrease.

Percentage change under recession = ($1.18 - $1.74)/ $1.74 = 0.3218 decrease, or 32.18% decrease

5 0
2 years ago
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