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Monica [59]
3 years ago
12

Consider a bond that costs $1,000 and pays an $80 interest payment each year.

Business
1 answer:
Anna007 [38]3 years ago
7 0

Answer:

The interest rate for this bond is 8% per annum.

Explanation:

Given that,

a bond that costs $1,000 and pays an $80 interest each year.

To find the rate of interest, we use the following formula is

I=Prt

Here P = principal= $1,000

I=interest= $80

t=time= 1 year

∴80 = 1000×r×1

\Rightarrow r=\frac{80}{1000}

⇒r = 0.080

⇒r= 8%

The yield for this bond is 8% per annum.

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Answer:

Market value at 8% YTM  $ 743.2156

at 10% YTM                       $ 619.6960

Explanation:

Assuming the face value is 1,000 as common outstanding American company's bonds:

Market value under the current scenario:

<u>Present value of the coupon payment:</u>

<u />

C \times \frac{1-(1+r)^{-time} }{rate} = PV\\

Coupon: $1,000 x 5% =  50

time 15 years

rate 0.08

50 \times \frac{1-(1+0.08)^{-15} }{0.08} = PV\\

PV $427.9739

<u>Present Value of the Maturity</u>

<u />

\frac{Maturity}{(1 + rate)^{time} } = PV  

Maturity   1,000.00

time   15.00

rate  0.08

\frac{1000}{(1 + 0.08)^{15} } = PV  

PV   315.24

PV c $427.9739

PV m  $315.2417

Total $743.2156

If the interest rate in the market increaseby 2% then investor will only trade the bonds to get a yield 2% higher that is 10% so we recalculate the new price:

C \times \frac{1-(1+r)^{-time} }{rate} = PV\\

C 50.000

time 15

rate 0.1

50 \times \frac{1-(1+0.1)^{-15} }{0.1} = PV\\

PV $380.3040

\frac{Maturity}{(1 + rate)^{time} } = PV  

Maturity   1,000.00

time   15.00

rate  0.1

\frac{1000}{(1 + 0.1)^{15} } = PV  

PV   239.39

PV c $380.3040

PV m  $239.3920

Total $619.6960

Giving a lower price than before

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3 years ago
Student involvement in afterschool activities that are not part of a class or an academic requirement is known as
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Extracurricular activities
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3 years ago
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On June 1, Year 1 Oxian Corp. receives $24,000 from a customer for work to be performed evenly over the next 2 years. What is th
pav-90 [236]

Answer:

$7,000 is the amount of revenue in year 1

Explanation:

The amount received from the customer is $24,000,which is payment for work to be performed over 24-month period i.e 2 years

In year 1,the work would be performed from June -December,hence  7-month worth of revenue should be recognized in year 1 as follows

revenue recognition in year=$24,000*7/24=$7,000

The amount of revenue attributable to year 1 on the income statement is $7,000

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3 years ago
Xthe diffusion of digital technologies into nearly every workplace, remaking the economy and the world of work is referred to as
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The diffusion of digital technologies into nearly every workplace, remaking the economy and the world of work is referred to as digitalization.

Digitalization refers to the use of digital technologies in order to change a business model and provide new revenue and value-producing opportunities. Digitalization may be viewed as a technology which affects the main economic aggregates in the economy.

In recent decades, the diffusion of digital technology into nearly every business and workplace has been remaking the economy and the world work more effectively.

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5 0
2 years ago
Martin wants to provide money in his will for an annual bequest to whichever of his living relatives is oldest. That bequest wil
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Answer:

$16,667

Explanation:

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Cash flows = $1,000

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Interest rate = 12%

So by considering the above information, the amount would be

Amount = Cash flows ÷ (Interest rate - growth rate)

= $1,000 ÷ (12% - 6%)

= $16,667

We simply applied the above formula so that the amount could come by considering the given information

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3 years ago
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