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Problem 7-5 Bond valuation An investor has two bonds in his portfolio that both

ID: 2647095 • Letter: P

Question

Problem 7-5
Bond valuation

An investor has two bonds in his portfolio that both have a face value of $1,000 and pay a 8% annual coupon. Bond L matures in 19 years, while Bond S matures in 1 year.

Assume that only one more interest payment is to be made on Bond S at its maturity and that 19 more payments are to be made on Bond L.

What will the value of the Bond L be if the going interest rate is 4%? Round your answer to the nearest cent.
$   

What will the value of the Bond S be if the going interest rate is 4%? Round your answer to the nearest cent.
$   

What will the value of the Bond L be if the going interest rate is 8%? Round your answer to the nearest cent.
$   

What will the value of the Bond S be if the going interest rate is 8%? Round your answer to the nearest cent.
$   

What will the value of the Bond L be if the going interest rate is 12%? Round your answer to the nearest cent.
$   

What will the value of the Bond S be if the going interest rate is 12%? Round your answer to the nearest cent.
$   

Explanation / Answer

What will the value of the Bond L be if the going interest rate is 4%? Round your answer to the nearest cent.

Bond Value = pv(rate, nper,pmt,fv)

Nper  (indicates the period) = 19

PV (indicates the price) = ?

PMT (indicate the annual payment) = 1000*8% = 80

FV (indicates the face value) = 1000

Rate (indicates YTM) = 4%

Bond Value = pv( 4%,19,80,1000)

Bond Value = $ 1525.36

What will the value of the Bond S be if the going interest rate is 4%? Round your answer to the nearest cent.

Bond Value = pv(rate, nper,pmt,fv)

Nper  (indicates the period) = 1

PV (indicates the price) = ?

PMT (indicate the annual payment) = 1000*8% = 80

FV (indicates the face value) = 1000

Rate (indicates YTM) = 4%

Bond Value = pv( 4%,1,80,1000)

Bond Value = $ 1038.46

What will the value of the Bond L be if the going interest rate is 8%? Round your answer to the nearest cent.

Bond Value = pv(rate, nper,pmt,fv)

Nper  (indicates the period) = 19

PV (indicates the price) = ?

PMT (indicate the annual payment) = 1000*8% = 80

FV (indicates the face value) = 1000

Rate (indicates YTM) = 8%

Bond Value = pv( 8%,19,80,1000)

Bond Value = $ 1000

What will the value of the Bond S be if the going interest rate is 8%? Round your answer to the nearest cent.

Bond Value = pv(rate, nper,pmt,fv)

Nper  (indicates the period) = 1

PV (indicates the price) = ?

PMT (indicate the annual payment) = 1000*8% = 80

FV (indicates the face value) = 1000

Rate (indicates YTM) = 8%

Bond Value = pv( 8%,1,80,1000)

Bond Value = $ 1000

What will the value of the Bond L be if the going interest rate is 12%? Round your answer to the nearest cent.

Bond Value = pv(rate, nper,pmt,fv)

Nper  (indicates the period) = 19

PV (indicates the price) = ?

PMT (indicate the annual payment) = 1000*8% = 80

FV (indicates the face value) = 1000

Rate (indicates YTM) = 12%

Bond Value = pv( 12%,19,80,1000)

Bond Value = $ 705.37

What will the value of the Bond S be if the going interest rate is 12%? Round your answer to the nearest cent.

Bond Value = pv(rate, nper,pmt,fv)

Nper  (indicates the period) = 19

PV (indicates the price) = ?

PMT (indicate the annual payment) = 1000*8% = 80

FV (indicates the face value) = 1000

Rate (indicates YTM) = 12%

Bond Value = pv( 12%,19,80,1000)

Bond Value = $ 964.29