Find the duration of a 4.0% coupon bond making semiannually coupon payments if i
ID: 2745588 • Letter: F
Question
Find the duration of a 4.0% coupon bond making semiannually coupon payments if it has 3 years until maturity and has a yield to maturity of 4.0%. What is the duration if the yield to maturity is 6.0%? (Do not round intermediate calculations. Round your answers to 4 decimal places.)
Find the duration of a 4.0% coupon bond making semiannually coupon payments if it has 3 years until maturity and has a yield to maturity of 4.0%. What is the duration if the yield to maturity is 6.0%? (Do not round intermediate calculations. Round your answers to 4 decimal places.)
Explanation / Answer
Period Cash Flow PV of Cash Flow @ (Half yeat YTM=4%/2 = 2%) weight Weight * Period 1 1 20 0.98039216 19.6078431 1.96% 0.01960784 2 20 0.96116878 19.2233756 1.92% 0.03844675 3 20 0.94232233 18.8464467 1.88% 0.05653934 4 20 0.92384543 18.4769085 1.85% 0.07390763 5 20 0.90573081 18.1146162 1.81% 0.09057308 6 1020 0.88797138 905.73081 90.57% 5.43438486 1000 1.00 5.71345951 Duration of the project is 5.7134 /2 = 2.85673. Period Cash Flow PV of Cash Flow @ (Half yeat YTM=6%/2 = 3%) Present value of Cash Flows weight Weight * Period 1 1 20 0.97087379 19.4174757 2.05% 0.02052956 2 20 0.94259591 18.8519182 1.99% 0.03986323 3 20 0.91514166 18.3028332 1.94% 0.05805324 4 20 0.88848705 17.769741 1.88% 0.07514983 5 20 0.86260878 17.2521757 1.82% 0.09120125 6 1020 0.83748426 854.233942 90.32% 5.41894807 945.828086 1.00 5.70374518 Duration of the project is 5.7037/2 = 2.852.
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.