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| rev | Admin | (Created page with "'''Solution: A''' For a <math>7.5 \%</math> yield rate, the present value and Macaulay duration of the assets are, respectively, <math>30,000+20,000=50,000</math> and <math>\frac{30,000(28)+20,000(35)}{30,000+20,000}=30.8</math> The present value and Macaulay duration, of the liabilities are, respectively, <math>\frac{50,000(1.075)^y}{(1.075)^y}=50,000</math> and <math>y</math>. Note that the present values of assets and liabilities already match. Since Macaulay durat...") | Nov 20'23 at 22:34 | +538 |