Question

In: Finance

Assume the term structure remains constant and that you sell the bond after holding it only four years. For what price can you sell it?

Assume that the following data on U.S. Treasury securities is current:                                                   

            Years to maturity        Yield to maturity                                

                        1                      0.800%                                   

                        2                      0.910%                                   

                        3                      1.300%                                   

                        4                      1.350%                                   

                        5                      2.400%                                   

                        7                      2.560%                                   

                        10                    3.080%                                   

                        20                    4.200%                       

You purchase a $1000, zero-coupon, Treasury bond that matures in seven years.  Assume the term structure remains constant and that you sell the bond after holding it only four years.  For what price can you sell it?

Solutions

Expert Solution

Price you can sell = ($1000 / (1 + 2.560%)^7) * (1 + 1.350%)^4
= $837.8261567 * 1.01350^4
= $883.99

The Price you can sell it for $883.99


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