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Usimov [2.4K]
3 years ago
9

Vangaurd Health System bonds have an annual coupon rate of 8 percent and a par value of $1,000 and will mature in 20 years. If y

ou require a 7 percent return, what price would you be willing to pay for a Vangaurd bond
Business
1 answer:
Umnica [9.8K]3 years ago
8 0

Answer:

Price willing to pay=$1105.94

Explanation:

Annual Coupon Payment=$1,000*0.08

Annual Coupon Payment=$80

Calculating Present Value (PV) of Par Value:

PV=\frac{FV}{(1+i)^{20}}

Where:

i is the rate of return.

FV is par value

PV=\frac{\$1000}{(1+0.07)^{20}}

PV= $258.419.

Calculating PV of annual Coupon Payment:

PV=A\frac{1-(1+i)^{-20}}{i}

i is the coupon rate

A is the annual Payment

PV=\$80\frac{1-(1+0.07)^{-20}}{0.07}

PV=$847.521

Price willing to pay= Present Value (PV) of Par Value+ PV of annual Coupon Payment

Price willing to pay=$258.419+$847.521

Price willing to pay=$1105.94

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Workman Software has 8.8 percent coupon bonds on the market with 19 years to maturity. The bonds make semiannual payments and cu
OverLord2011 [107]

Answer:

current yield 8.2089552%

YTM = 8.05%

effective annual yield = 4.92%

Explanation:

(A)

current yield = C/P

coupon payment / market price

8.8/107.2 = 0.082089552 = 8.2089552%

(B)

P = \frac{C}{2} \times\frac{1-(1+YTM/2)^{-2t} }{YTM/2} + \frac{CP}{(1+YTM/2)^{2t}}

First par being the present value of the coupon payment and second the redeem of the face value at the end of the bond.

market price 107.2

face value 100

time = 19

rate 8.8%

C = annual coupon payment 100 x 8.8% = 8.8

You solve this using a financial calculation and get the semiannual rate

YTM/2 = 0.040268160

then multiply by 2 to get the annual YTM

0.040268160  x 2 =

YTM = 0.08053632 = 8.05%

(C)

Effective Annual Yield

(1+HPR)^{365/time} -1 = EAY

where:

Holding period return:

\frac{Net \: Return}{Investment} = HPR

In this case:

coupon payment + redem - investment = net return

8.8 * 19 + 100 - 107.2 = 160

160/107.2 = 1.492537313

Then

(1+HPR)^{365/time} -1 = EAY

(1+1.142537313)^{\frac{365}{19\times365}} -1 = EAY

EAY = 0.049242509 = 4.9242509%

8 0
3 years ago
If the economy booms, Meyer&Co. stock will have a return of 20.4 percent. If the economy goes into a recession, the stock wi
Mnenie [13.5K]

Answer:

The standard deviation of the returns on the stock is 15.56%(Approx).

Explanation:

Expected Return=Respective return*Respective probability

=(20.4*0.67)+(-12.7*0.33)=9.477%

probability Return probability*(Return-Expected Return)^2

0.67          20.4 0.67*(20.4-9.477)^2=79.93899243

0.33          -12.7 0.33*(-12.7-9.477)^2=162.3003786

Total=242.239371%

Standard deviation=[Total probability*(Return-Expected Return)^2/Total probability]^(1/2)

=15.56%(Approx).

4 0
2 years ago
The following information pertains to Rik Co.'s two employees: Name Weekly salary Number of weeks worked in 2005 Vacation rights
Lapatulllka [165]

Answer: $1600

Explanation:

From the information given, it can be noted that while Ryan is vested, on the other hand, Todd isn't vested.

Therefore, since the vacation is for two weeks, the amount of vacation expense and liability should be reported will be for Ryan alone and this will be:

= $800 × 2

= $1600

In this case, service has already been rendered ans there's accumulated rights, therefore a vacation expense and liability of $1600 should be reported.

8 0
2 years ago
g For this question, ignore inflation. Suppose Jenny earns $60,000 per year working as a tax analyst. After ten years, she quits
arsen [322]

Answer:

If Jenny doesn’t earn any interest on her savings and wants to perfectly smooth consumption across her life, how much will she consume every year?

Jenny's total income during her life = income as tax analyst ($60,000 x 10) + income as PhD student ($12,000 x 5) + income as Art Director (35 x $95,000) = $3,985,000

she generated income during 50 years and expects to live 20 more, so in order to perfectly smooth consumption across her life, she must divide her total life income by 70 years = $3,985,000 / 70 years = $56,928.57 per year

What might prevent her from perfectly smoothing consumption?

First of all, besides inflation, you also earn interest on your savings. That is why 401k and other retirement accounts work so well (the magic of compound interest). Even if inflation and interests didn't exist, you cannot know exactly what you are going to earn in the future and for how many years. In this case, she earned $60,000 for 10 years, but then earned only $12,000 during 5 years. If she really wanted to smooth her consumption, she would have needed to get a loan because her savings during the first 10 years wouldn't be enough.

4 0
2 years ago
The ________, published by the Department of Labor, lists more than 20,000 job titles and descriptions and serves as a useful to
matrenka [14]

Answer:

Dictionary of Occupational Titles

Explanation:

The answer is the Dictionary of Occupational Titles because this is a document created by the United States Department of Labor in which it establishes a big amount of different jobs in many areas and what they involve to help employers and the government to be able to define them in their organizations.

6 0
2 years ago
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