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A 30-year maturity bond with face value of $1,000 makes semiannual coupon paymen

ID: 2711916 • Letter: A

Question

A 30-year maturity bond with face value of $1,000 makes semiannual coupon payments and has a coupon rate of 10%.


What is the bond’s yield to maturity if the bond is selling for $1,020? Enter annual yield to maturity as your answer. (Do not round intermediate calculations. Round your answer to 3 decimal places.)





What is the bond’s yield to maturity if the bond is selling for $1,220? Enter annual yield to maturity as your answer. (Do not round intermediate calculations. Round your answer to 3 decimal places.)


A 30-year maturity bond with face value of $1,000 makes semiannual coupon payments and has a coupon rate of 10%.

Explanation / Answer

A 30-year maturity bond with face value of $1,000 makes semiannual coupon payments and has a coupon rate of 10%.

a.What is the bond’s yield to maturity if the bond is selling for $1,020? Enter annual yield to maturity as your answer. (Do not round intermediate calculations. Round your answer to 3 decimal places.)

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

Nper (indicates the semi annual period) = 30*2 =60

PV (indicates the price) = -1020

PMT (indicate the semi annual payment) = 1000*10%*1/2 = 50

FV (indicates the face value) = 1000

Rate (indicates YTM) = ?

Annual yield to maturity = rate(60,50,-1020,1000)*2

Annual yield to maturity = 9.792%


b. What is the bond’s yield to maturity if the bond is selling for $1,000? Enter annual yield to maturity as your answer. (Do not round intermediate calculations.)  

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

Nper (indicates the semi annual period) = 30*2 =60

PV (indicates the price) = -1000

PMT (indicate the semi annual payment) = 1000*10%*1/2 = 50

FV (indicates the face value) = 1000

Rate (indicates YTM) = ?

Annual yield to maturity = rate(60,50,-1000,1000)*2

Annual yield to maturity = 10%

c.What is the bond’s yield to maturity if the bond is selling for $1,220? Enter annual yield to maturity as your answer. (Do not round intermediate calculations. Round your answer to 3 decimal places.)  

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

Nper (indicates the semi annual period) = 30*2 =60

PV (indicates the price) = -1220

PMT (indicate the semi annual payment) = 1000*10%*1/2 = 50

FV (indicates the face value) = 1000

Rate (indicates YTM) = ?

Annual yield to maturity = rate(60,50,-1220,1000)*2

Annual yield to maturity = 8.047%

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