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English: This shows series of bonds and CDs with staggered maturities whose coupon and principal payments will match the stream of income shown in the Target Cash Flows column in Table 1 (rates are fictitious for this example). The cash flow generated by the portfolio for the first year would be $100,380. This consists of the principal of the bond maturing on 2/15/2012 plus the coupon interest payments flowing from all the other bonds. The same would be true for the next year and every year thereafter. The total cash flows generated over the eight years sum to $889,350, compared to the target cash flow sum of $889,234, a difference of only $116. As with the first year, the cash flows are very close to the target cash flows needed for each year. The match cannot be perfect because bonds must usually be purchased in denominations of $1,000 (municipal bonds in denominations of $5,000). However, with the use of fairly sophisticated mathematical optimization techniques, correlations of 99 percent or better can usually be obtained. These techniques also determine which bonds to buy so as to minimize the cost of meeting the cash flows, which in this example is $747,325. Note that in this example, the bonds all mature on February 15, the middle of the first quarter. Other dates may be used, of course, such as the anniversary date of the portfolio’s implementation.
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Author Huxleys

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