Question
you are a consultant to a firm evaluating an expansion of its current business. The cash flow forecasts (in millions of dollar) for the project as follows:
Year cashflow
0 -100
1-10 15
0n the basis of the behavior of the firm's stock, you believe that the beta of the firm is 1.30. Assuming that the rate of return available on risk-free investments is 5% and that the expected rate of return on the market portfolio is 15% what is the net present value of the project
Answer:
NPV= -$32.58
Explanation:
The net present value of the investment is the cash inflow from the investment discounted at required rate of return. The required rate of return can be determined using the the formula below:
Ke= Rf +β(Rm-Rf)
Ke =? , Rf- 5%,, Rm-15%, β- 1.30
Ke=5% + 1.30× (15-5)= 18%
The NPV = Present value of cash inflow - initial cost
= A×(1-(1+r)^(-10)/r - initial cost
A- 15, r-18%
NPV = 15× (1-1.18^(-10)/0.18 - 100= -32.58
NPV = -$32.58
The correct answer to this open question is the following.
Although there are not options provided, we can say that some additions that could be implemented which are aligned with this company’s values are the inclusion on the menu of organic food, vegan food, and kosher products so all kinds of customers can find a good option in the restaurant.
Another important thing is the way to market and communicate their innovations to consumers. In college, the son should have learned that the way a restaurant markets its products and services is as important as the kinds of food it offers.
I think the answer would be alone
Answer:
- <em>As explained below, given that the score of the person is among the 0.03125 fraction of the best applicants, </em><u><em>he can count on getting one of the jobs.</em></u>
<em></em>
Explanation:
The hint is to use <em>Chebyshev’s Theorem.</em>
Chebyshev’s Theorem applies to any data set, even if it is not bell-shaped.
Chebyshev’s Theorem states that at least 1−1/k² of the data lie within k standard deviations of the mean.
For this sample you have:
- mean: 60
- standard deviation: 6
- score: 84
The number of standard deviations that 84 is from the mean is:
- k = (score - mean) / standar deviation
- k = (84 - 60) / 6 = 24 / 6 = 4
Thus, the score of the person is 4 standard deviations above the mean.
How good is that?
Chebyshev’s Theorem states that at least 1−1/k² of the data lie within k standard deviations of the mean. For k = 4, that is:
- 1 - 1/4² = 1 - 1/16 = 0.9375
- That means that half of 1 - 0.9375 are above k = 4: 0.03125
- Then, 1 - 0.03125 are below k = 4: 0.96875
Since there are 70 positions and 1,000 aplicants, 70/1,000 = 0.07. The compnay should select the best 0.07 of the applicants.
Given that the score of the person is among the 0.03125 upper fraction of the applicants, this person can count of geting one of the jobs.
