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A bond currently sells for $1,150, which gives it a yield to maturity of 5%. Sup

ID: 2644426 • Letter: A

Question

A bond currently sells for $1,150, which gives it a yield to maturity of 5%. Suppose that if the yield increases by 10 basis points, the price of the bond falls to $1,130. What is the duration of this bond? (Do not round intermediate calculations. Round your answer to 4 decimal places.)

A bond currently sells for $1,150, which gives it a yield to maturity of 5%. Suppose that if the yield increases by 10 basis points, the price of the bond falls to $1,130. What is the duration of this bond? (Do not round intermediate calculations. Round your answer to 4 decimal places.)

Explanation / Answer

                      
Question:                      
A bond currently sells for $1,150, which gives it a YTM of 5%. Suppose that if the yield increases                       
by 10 basis points, the price of the bond falls to $1,130. What is the duration of this bond?          

           
Solution: Computation of the During of the Bond              

       
Given information                      


Par Value    $(1,000.00)

YTM    5%                  


Present Value   $1,150.00           

       
Coupon amount   0                  
                      


No of years   = - NPER(5%,0,1150,(-1000)) =   2.864551591                  
                      


Par Value    $(1,000.00)                  


YTM    5.10%                  


Present Value   $1,130.00                   


Coupon amount   0                  
                      
No of years   = - NPER(5.1%,0,1130,(-1000)) =   2.457026395                  
                      

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