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| rev | Admin | (Created page with "'''Solution: D''' The present value of the perpetuity = X/i. Let B be the present value of Brian’s payments. <math display = "block"> \begin{align*} B=X a_{\overline{n}|i}=0.4{\frac{X}{i}} \\ K=0.36{\frac{X}{i}} \\ a_{\overline{n}|i}=\frac{0.4}{i}\Longrightarrow0.4=1-{\nu}^{n}\Longrightarrow{\nu}^{n}=0.6 \\ K=\nu^{2n}\,{\frac{X}{i}} \\ K = 0.36 \frac{X}{i} \end{align*} </math> Thus the charity’s share is 36% of the perpetuity’s present value. {{soacopyright | 2...") | Nov 18'23 at 8:52 | +481 |