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A 10-year maturity bond with par value $1,000 makes semiannual coupon payments a

ID: 2775051 • Letter: A

Question

A 10-year maturity bond with par value $1,000 makes semiannual coupon payments at a coupon rate of 6%.

Find the bond equivalent and effective annual yield to maturity of the bond if the bond price is $940. (Round your intermediate calculations to 4 decimal places. Round your answers to 2 decimal places.)

Find the bond equivalent and effective annual yield to maturity of the bond if the bond price is $1,000. (Do not round intermediate calculations.Round your answers to 2 decimal places.)

Find the bond equivalent and effective annual yield to maturity of the bond if the bond price is $1,040.(Round your intermediate calculations to 4 decimal places. Round your answers to 2 decimal places.)

a.

Find the bond equivalent and effective annual yield to maturity of the bond if the bond price is $940. (Round your intermediate calculations to 4 decimal places. Round your answers to 2 decimal places.)

Explanation / Answer

A 10-year maturity bond with par value $1,000 makes semiannual coupon payments at a coupon rate of 6%.

Find the bond equivalent and effective annual yield to maturity of the bond if the bond price is $940. (Round your intermediate calculations to 4 decimal places. Round your answers to 2 decimal places.)

Bond equivalent yield to maturity= rate(nper,pmt,pv,fv)*2

Nper (indicates the semi annual period) = 10*2 = 20

PV (indicates the price) = 940

PMT (indicate the semi annual payment) = 1000*6%*1/2 = 30

FV (indicates the face value) = 1000

Rate (indicates YTM) = ?

Bond equivalent yield to maturity= rate( 20,30,-940,1000)*2

Bond equivalent yield to maturity = 6.84%

Effective annual yield to maturity = (1+Bond equivalent yield to maturity/2)^2 -1

Effective annual yield to maturity = (1+6.84%/2)^2 -1

Effective annual yield to maturity = 6.96%

Find the bond equivalent and effective annual yield to maturity of the bond if the bond price is $1,000. (Do not round intermediate calculations.Round your answers to 2 decimal places.)

Since Bond Price is trading at par

Bond equivalent yield to maturity = Coupon rate = 6%

Effective annual yield to maturity = (1+Bond equivalent yield to maturity/2)^2 -1

Effective annual yield to maturity = (1+6%/2)^2 -1

Effective annual yield to maturity = 6.09%

Find the bond equivalent and effective annual yield to maturity of the bond if the bond price is $1,040.(Round your intermediate calculations to 4 decimal places. Round your answers to 2 decimal places.)

Bond equivalent yield to maturity= rate(nper,pmt,pv,fv)*2

Nper (indicates the semi annual period) = 10*2 = 20

PV (indicates the price) = 1040

PMT (indicate the semi annual payment) = 1000*6%*1/2 = 30

FV (indicates the face value) = 1000

Rate (indicates YTM) = ?

Bond equivalent yield to maturity= rate( 20,30,-1040,1000)*2

Bond equivalent yield to maturity = 5.48%

Effective annual yield to maturity = (1+Bond equivalent yield to maturity/2)^2 -1

Effective annual yield to maturity = (1+5.48%/2)^2 -1

Effective annual yield to maturity = 5.55%

a.

Find the bond equivalent and effective annual yield to maturity of the bond if the bond price is $940. (Round your intermediate calculations to 4 decimal places. Round your answers to 2 decimal places.)

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