Business, 21.05.2021 17:40, ashiteru123

A 15-year maturity bond with par value of $1,000 makes annual coupon payments at a coupon rate of 10%. Find the bond equivalent and effective annual yield to maturity of the bond for the following bond prices. List Bond Equivalent Annual Effective annual
bond prices Yield to maturity Yield to maturity
a $940 % %
b $1,000 % %
c $1,040 % %

Answers: 2

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Answers

answered: BigGirlsTheBest

A. Bond equivalent 10.82%

Effective annual yield to maturity of the bond 11.11%

B. Bond equivalent 10%

Effective annual yield to maturity of the bond 10.25%

C. Bond equivalent 9.49%

Effective annual yield to maturity of the bond 9.73%

Explanation:

A. Calculation to Find the bond equivalent

We would determine the yield to maturity on a semi-annual basis using Financial Calculator which is:

N = 10*2 = 30

PV = -940

PMT = [10%/2]*1000 = 50

FV = 1000

Press CPT, then I/Y, which gives us 5.41%

Bond equivalent yield to maturity=5.41% × 2

Bond equivalent yield to maturity= 10.82%

Calculation to determine the Effective Annual Yield To Maturity of the bond

Effective annual yield to maturity = (1+.0541)^2– 1

Effective annual yield to maturity = (1.0541)^2– 1

Effective annual yield to maturity =1.1111 – 1

Effective annual yield to maturity = 0.1111 *100

Effective annual yield to maturity = 11.11%

Therefore the bond equivalent and effective annual yield to maturity of the bond will be:

Bond equivalent 10.82%

Effective annual yield to maturity of the bond 11.11%

b. Calculation to determine the bond equivalent

Based on the information given the bond is selling at par which therefore means that the yield to maturity on a semi annual basis will be the same as the semi annual coupon 5%.

Bond equivalent yield to maturity =5%*2

Bond equivalent yield to maturity= 10%.

Calculation to determine Effective annual yield to maturity

Effective annual yield to maturity = (1+.05)^2– 1

Effective annual yield to maturity = (1.05)^2– 1

Effective annual yield to maturity=1.1025-1

Effective annual yield to maturity=.1025*100

Effective annual yield to maturity =10.25%

Therefore the bond equivalent and effective annual yield to maturity of the bond will be:

Bond equivalent 10%

Effective annual yield to maturity of the bond 10.25%

c.Calculation to determine the bond equivalent

N = 10*2 = 30

PV = -1,040

PMT = [10%/2]*1000 = 50

FV = 1000

Bond equivalent yield to maturity=9.49%, or 4.75% on a semi-annual basis.

Calculation to determine the Effective Annual Yield To Maturity of the bond

Effective annual yield to maturity = (1+.0475)^2– 1

Effective annual yield to maturity = (1.0475)^2– 1

Effective annual yield to maturity =1.0973– 1

Effective annual yield to maturity = 0.0973*100

Effective annual yield to maturity = 9.73%

Therefore the bond equivalent and effective annual yield to maturity of the bond will be:

Bond equivalent 9.49%

Effective annual yield to maturity of the bond 9.73%

answered: Guest

answer; strategic planning;

answered: Guest

match the scenarios with terms related to financial aid.

pell grant

student loan

merit-based scholarship

richard is one of the leading college basketball players in the state of florida. he also maintains a good academic record. looking at his talent and potential, furman university offers to bear the expenses for his college education.

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anita wants to pursue a certificate program in sports nutrition. to pay for the course, she borrows money by filing the fafsa.

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nathan comes from a low-income household. he wants to pursue an undergraduate degree in marketing. he receives financial aid covering 50 percent of his college expenses. nathan does not have to pay back this amount.

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A 15-year maturity bond with par value of $1,000 makes annual coupon payments at a coupon rate of 10...