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It is possible to extend the process of immunization to the term structure framework. A portfolio of bonds designed to fund a stream of obligations
It is possible to extend the process of immunization to the term structure framework. A portfolio of bonds designed to fund a stream of obligations can be immunized against a parallel shift in the spot rate curve by matching both the present values and the quasi-modified durations of the bonds and the obligations. Consider the following stream of obligations, in dollars, over the next 8 years as shown in the table below below: Year 1 2 3 4 5 6 7 8 100 200 300 400 500 600 700 800 You are given the spot rate curve is as follows: Year 1 2 3 4 5 6 7 8 9 10 11 12 Spot 7.67 8.27 8.81 9.31 9.75 10.16 10.52 10.85 11.15 11.42 11.67 11.89 Find a portfolio, consisting of the two bonds below, that has the same present value as the obligation stream and is immunized against an additive shift in the spot rate curve: Bond 1 is a 12-year 6% annual coupon bond Bond 2 is a 5-year 10% annual coupon bond Both bonds have a face value of $100. How many units of Bond 2 should be held in the immunized portfolio? Please round your numerical answer to the nearest integer number of units. It is possible to extend the process of immunization to the term structure framework. A portfolio of bonds designed to fund a stream of obligations can be immunized against a parallel shift in the spot rate curve by matching both the present values and the quasi-modified durations of the bonds and the obligations. Consider the following stream of obligations, in dollars, over the next 8 years as shown in the table below below: Year 1 2 3 4 5 6 7 8 100 200 300 400 500 600 700 800 You are given the spot rate curve is as follows: Year 1 2 3 4 5 6 7 8 9 10 11 12 Spot 7.67 8.27 8.81 9.31 9.75 10.16 10.52 10.85 11.15 11.42 11.67 11.89 Find a portfolio, consisting of the two bonds below, that has the same present value as the obligation stream and is immunized against an additive shift in the spot rate curve: Bond 1 is a 12-year 6% annual coupon bond Bond 2 is a 5-year 10% annual coupon bond Both bonds have a face value of $100. How many units of Bond 2 should be held in the immunized portfolio? Please round your numerical answer to the nearest integer number of units
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