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3 years ago

The following is the cash flow from a manufacturing plant in the next five years:

Business

1 answer:

Svetllana [295]3 years ago

6 0

Answer:

The sum of the present values of the stream of cash flows is $1,011,772.58

Explanation:

We need to compute the present value of the cash flows separately for each amount

The first cash flow is occurring at the end of the first year

We use the formula PV = FV/(1+i)^n

Where PV = Present Value, FV = Future value, i = Interest rate, which is the rate at which the cash flows are to be discounted and n = the year in which the cash flow occurs

Plugging the values in the formula, we get the present value for the first year

PV = 250,000/(1+0.065)^1 = 250,000/1.065 = 93,896.71= $93,896.71

The present values for the successive years are provided as under

PV = 20,000/(1+0.065)^2 = 20,000/(1.065)2 = 17,633.1857= $17,633.1857

PV = 180,000/(1+0.065)^3 =180,000/(1.065)3 = 149,012.8365= $149,013.8365

PV = 450,000/(1+0.065)^4 =450,000/(1.065)4 = 349,795.3909= $349,795.3909

PV = 550,000/(1+0.065)^5 =550,000/(1.065)5 = 401,434.4601= $401,434.4601

Adding up the present values for each of the years, we obtain the present value of the cash flow stream

93,896.71+17,633.1857+149,013.8365+349,795.3909+401,434.4601 = $1,011,773,.58 approximately (only the final answer is rounded off to two decimal points)

The solution in word format is also attached here

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A manufacturing process produces integrated circuit chips. Over the long run, the fraction of bad chips produced by the process

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Answer:

(a) Given that a chip passes the test, what is the probability that it is a good chip?

LetB = {the chip is good}

A={the chip passes the cheap test}.

Bc={the chip is bad}

Ac={the chip fails the cheap test}

P(A | B) = 1

P(A | B c ) = 0.075

= $\frac{P(A | B)P(B)}{P(A | B)P(B) + P(A | Bc)P(Bc)}$ = $\frac{1.0.8}{1.0.8+ 0.075 · 0.2}$ ≈ 0.9751

(b) If the company sells all chips that pass the cheaper test, what percentage of sold chips will be bad?

P(B c |A) = 1 − P(B | A) = 1 - 0.9751 = 0.0249

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3 years ago

Production possibilities curve. the curve of the graph<br><br> is called "The Frontier"

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The PPC, sometimes referred to as the production possibilities frontier, depicts scarcity and tradeoffs.

<h3>What does the curve of the production possibility frontier represent?</h3>

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1 year ago

Maria spends all of her money on paperback novels and beignets. In 2011 she earned $27.00 per hour, the price of a paperback nov

marishachu [46]

Answer:

1. The price of a beignet is $3.00 in 2011 and Maria's wage is $27.00 per hour in 2011.

2. The price of a paperback novel is 3 beignets in 2011 and Maria's wage is 9 beignets per hour in 2011.

3. 3 Beignets

4. increases and remains the same

Explanation:

1. Nominal value is the value of a product based on the money of the day that we see. The price of a beignet is $3.00 in 2011 and Maria's wage is $27.00 per hour in 2011 are the values of the product and wage quoting the money of the day.

2. The real value of a varaible is the value in terms of the value of some other goods. In this case Paperback and Maria's wage are valued in terms of beignets.

3. The relative price of paperback is valued in terms of beignets. So if a beignet costs $6 and a paperback novel is $18. The relative price of a paperback novel will be three times the cost of beignet, since a beignet costs $6.

4. Between 2011 and 2016, the nominal value of Maria's wage increases and the real value of her wage remains the same.

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3 years ago

Bond X is a premium bond making semiannual payments. The bond has a coupon rate of 7.5 percent, a YTM of 6 percent, and 13 years

bija089 [108]

Answer:

a. What are the prices of these bonds today?

price of bond X:

0.03 = {37.5 + [(1,000 - MV)/26]} / [(1,000 + MV)/2]

0.03 x [(1,000 + MV)/2] = 37.5 + [(1,000 - MV)/26]

0.03 x (500 + 0.5MV) = 37.5 + 38.46 - 0.03846MV

15 + 0.015MV = 75.96 - 0.03846MV

0.05346MV = 60.96

MV = 60.96 / 0.05346 = $1,140.29

price of bond Y:

0.0375 = {30 + [(1,000 - MV)/26]} / [(1,000 + MV)/2]

0.0375 x [(1,000 + MV)/2] = 30 + [(1,000 - MV)/26]

0.0375 x (500 + 0.5MV) = 30 + 38.46 - 0.03846MV

18.75 + 0.01875MV = 68.46 - 0.03846MV

0.05721MV = 49.71

MV = 49.71 / 0.05721 = $868.90

b. What do you expect the prices of these bonds to be in one year?

price of bond X:

0.03 = {37.5 + [(1,000 - MV)/24]} / [(1,000 + MV)/2]

0.03 x [(1,000 + MV)/2] = 37.5 + [(1,000 - MV)/24]

0.03 x (500 + 0.5MV) = 37.5 + 41.67 - 0.04167MV

15 + 0.015MV = 79.17 - 0.04167MV

0.05667MV = 64.17/0.05667 = $1,132.29

price of bond Y:

0.0375 = {30 + [(1,000 - MV)/24]} / [(1,000 + MV)/2]

0.0375 x [(1,000 + MV)/2] = 30 + [(1,000 - MV)/24]

0.0375 x (500 + 0.5MV) = 30 + 41.67 - 0.04167MV

18.75 + 0.01875MV = 71.67 - 0.04167MV

0.06042MV = 52.92

MV = 52.92 / 0.06042 = $875.87

c. What do you expect the prices of these bonds to be in three years?

price of bond X:

0.03 = {37.5 + [(1,000 - MV)/20]} / [(1,000 + MV)/2]

0.03 x [(1,000 + MV)/2] = 37.5 + [(1,000 - MV)/20]

0.03 x (500 + 0.5MV) = 37.5 + 50 - 0.05MV

15 + 0.015MV = 87.5 - 0.05MV

0.065MV = 72.5

MV = 72.5 / 0.065 = $1,115.38

price of bond Y:

0.0375 = {30 + [(1,000 - MV)/20]} / [(1,000 + MV)/2]

0.0375 x [(1,000 + MV)/2] = 30 + [(1,000 - MV)/20]

0.0375 x (500 + 0.5MV) = 30 + 50 - 0.05MV

18.75 + 0.01875MV = 80 - 0.05MV

0.06875MV = 61.25

MV = 61.251 / 0.06875 = $890.91

d. What do you expect the prices of these bonds to be in eight years?

price of bond X:

0.03 = {37.5 + [(1,000 - MV)/10]} / [(1,000 + MV)/2]

0.03 x [(1,000 + MV)/2] = 37.5 + [(1,000 - MV)/10]

0.03 x (500 + 0.5MV) = 37.5 + 100 - 0.1MV

15 + 0.015MV = 137.5 - 0.1MV

0.115MV = 122.5

MV = 122.5 / 0.115 = $1,065.22

price of bond Y:

0.0375 = {30 + [(1,000 - MV)/10]} / [(1,000 + MV)/2]

0.0375 x [(1,000 + MV)/2] = 30 + [(1,000 - MV)/10]

0.0375 x (500 + 0.5MV) = 30 + 100 - 0.1MV

18.75 + 0.01875MV = 130 - 0.1MV

0.11875V = 111.25

MV = 111.25 / 0.11875 = $936.84

7 0

3 years ago

Which statement does not accurately describe a characteristic of cash value for whole life insurance?

otez555 [7]

If this question has the same list of choices as the ones posted before, the statement that does not accurately describe a characteristic of cash value for whole life insurance is:
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3 years ago