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You are a bond portfolio manager who is in the business of providing a guaranteed rate...

You are a bond portfolio manager who is in the business of providing a guaranteed rate of return to your clients over a given investment horizon. The following information has been provided to you on bonds X and Y

                                       Bond          Coupon          Maturity               Price

                                          X                  8%               10 Years                96.72

                                          Y                  9%              30 Years              105.37

1.   What fractions should be invested in X and Y to obtain a portfolio with duration of a) 8 years b) 9 years c) 10 years?

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