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Maurinko [17]
2 years ago
12

Your client has been offered a 5-year, $1,000 par value bond with a 10 percent coupon. Interest on this bond is paid quarterly.

If your client is to earn a simple rate of return of 12 percent, compounded quarterly, how much should she pay for the bond
Business
1 answer:
Serjik [45]2 years ago
5 0

Answer:

$906.18

Explanation:

Step 1: Calculation of the present value of the coupon (PVC) cash flow

The formula for calculating the PV of an ordinary annuity is used as follows:

PVC = P × [{1 - [1 ÷ (1+r)]^n} ÷ r] …………………………………. (1)

Where;

PVC = Present value of the coupon (PVC) payment =?

P = Quarterly coupon amount = $1,000 × (10%/4) = $25

r = interest rate = 12% annual = 12% ÷ 4 quarterly = 3% or 0.03 quarterly

n = number of period = 5 years = 7 × 4 quarters = 28 quarters

Substitute the values into equation (1) to have:

PVC = 25 × [{1 - [1 ÷ (1+0.03)]^28} ÷ 0.03] = $469.10

Step 2: Calculation of the present value of the face value (PVFAV) of the bond

The simple PV formula is used as follows:

PVFAV = FAV ÷ (1 + r)^n ……………………………………. (2)

Where;

PVFAC = Present value of the face value of the bond = ?

FAC = Face value of the bond = $1,000

r and n are as already given in step 1 above

Substituting these values into equation (2), we have:

PVFAV = FAV ÷ (1 + 0.03)^28 = $437.08

Step 3: Calculation of the market price of the bond

Market price of the bond = PVC + PVFAC …………………………… (3)

From step 1, PVC is $469.10, and PVFAC is $437.08 from Step 2. We can them substitute for them  in equation (3) and have:

Market price of the bond = $469.10 + $437.08 = $906.18

Conclusion

Therefore, she should pay $906.18 for the bond.

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2 years ago
A population gathers plants and animals for survival. They need at least 360 units of​ energy, 300 units of​ protein, and 8 hide
stellarik [79]

Answer:

0 units of plants and 18 animals.

Explanation:

From the information provided, we know that this population must hunt at least 8 animals, to obtain the hides necessary to survive. When hunting such a quantity of animals, they would also obtain 160 units of energy and 200 units of protein. In terms of costs, this equals 80 hours of labor.

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In the former case, at least 10 units of a plant would have to be gathered, this is the only way to obtain the additional units of energy and protein they are looking for. With 8 animals and 10 units of plants, they would have 460 units of energy, 300 of protein and 8 hides, and would have to invest 280 hours of labor.

If the population decided to reduce labor by gathering fewer plants (which is the activity that requires more time) but hunting the same amount of animals, it would obtain 430 units of energy, 290 units of protein and 8 hides. That means that it would not survive because it would not meet the requirement of 300 proteins.

Therefore, the only way to reduce hours of labor without risking survival would be gathering fewer plants but hunting more animals. Following this logic, the optimal amount would be 18 animals and 0 units of plants, as this would allow people to obtain the necessary resources to survive at the minimum cost in terms of labor. Furthermore, it would fit the physical limit of 27 units of plants and 23 animals. This combination would allow to obtain 360 units of energy, 450 of protein and 18 hides by investing only 180 hours of labor.

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Which of the following is true if the production volume​ decreases? A. average cost per unit decreases B. fixed cost per unit in
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Answer:

B. fixed cost per unit increases

Explanation:

As we know that

If the production volume increases, the fixed cost per unit is decreases as it reflect an inverse relationship between the fixed cost per unit and the production volume

Let us take an example

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Production volume = 100,000

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So, the fixed cost per unit in the first case is

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vampirchik [111]

Answer:

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