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nalin [4]
3 years ago
6

A bond has a par value of $1,000, a time to maturity of 15 years, and a coupon rate of 7.90% with interest paid annually. If the

current market price is $790, what will be the approximate capital gain of this bond over the next year if its yield to maturity remains unchanged? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Business
1 answer:
Effectus [21]3 years ago
8 0

Answer:

$5.97

Explanation:

In order to determine the capital gain of the bond in a year's time,it is first first of all important to calculate the yield to maturity on the bond which is arrived at by applying the rate formula in excel as follows:

=rate(nper,pmt,-pv,fv)

nper is the number of coupon interest the bond would pay over its entire life of 15 years which is 15

pmt is the annual interest,7.9%*$1000=$79

pv is the current market price of the bond which is $790

fv is the value of $1000

=rate(15,79,-790,1000)=10.79%

Afterwards,the price of the bond in one year' time can then be calculated:

=-pv(rate,nper,pmt,fv)

The variables in the formula are as above except for nper which would reduce by 1 in a year's time

=-pv(10.79%,14,79,1000)

pv=$ 795.97  

Hence the capital gain=price now-price one year ago/price one year ago

price now is $795.97  

price one year ago was $790

Capital gain=$795.97-$790=$5.97

Capital gain %= ($795.97-$790)/$790=0.76%

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If ________ fails and cannot pay its​ liabilities, creditors can force the owners to pay the​ business's debts from the​ owners'
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Answer:

partnership; least

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6 0
3 years ago
1. The beta for Eastman Kodak is 1.10. The current six-month treasury bill rate is 3.25%. Estimate the cost of equity for Eastma
Afina-wow [57]

Answer:

1) Cost of equity is 12.501%

2) Price of bond is $935.82

3) Price of semi-annual bond is $934.96

Explanation:

1) Given:

Beta = 1.1

Risk free rate (Rf) = 3.25%

Market risk premium (Rp) = 8.41%

Using CAPM to compute cost of equity:

Re = Rf + β (Rp)

    = 3.25 + 1.1(8.41)

    = 12.501%

2) Price of bond is present value of bond.

Face value (FV) = $1,000

Maturity (nper) = 10 years

Coupon rate = 8%

Coupon payment (PMT) = 0.08× 1000 = $80

Discount rate (rate) = 9% or 0.09

Using spreadsheet function =PV(rate,nper,pmt,FV)

Price of bond is $935.82. It is negative as it's cash outflow

3) Price of semi-annual bond is present value of bond.

Face value (FV) = $1,000

Maturity (nper) = 10×2 = 20 periods

Coupon rate = 8% ÷ 2 = 4%

Coupon payment (PMT) = 0.04× 1000 = $40

Discount rate (rate) = 9% ÷ 2 = 4.5% or 0.045

Using spreadsheet function =PV(rate,nper,pmt,FV)

Price of semi-annual bond is $934.96

7 0
3 years ago
A company issued $50,000 of 8%, 10-year bonds on January 1. The bonds pay semi annual interest. The present value factor of a si
inessss [21]

Answer:

$22,820

Explanation:

Calculation to determine Determine the present value of the par value of the bonds.

Discount rate =8%/2

Discount rate= 4%

Present value factor of 20 periods at 4%= ( 1 / 1.04^20 )

Present value factor of 20 periods at 4%=0.4564

Using this formula

Present value of the par value of the bond = Future value of the bond x Present value factor =

Let plug in the formula

Present value of the par value of the bond=$50,000 x 0.4564

Present value of the par value of the bond = $22,820

Therefore the present value of the par value of the bonds is $22,820

6 0
3 years ago
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