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revAdmin (Created page with "'''Solution: C''' At time 5, the value of the perpetuity and annuity must be equal so <math display="block"> \begin{gathered} 100 a_{\overline{\infty} \mid}=X v+X(1.08) v^2+\cdots+X(1.08)^{24} v^{25} \text { or } \\ 100 / i=25 X v . \end{gathered} </math> At time 15, the remaining value of the annuity must equal the value of the perpetuity of <math>Y</math>. Thus <math display="block"> \begin{gathered} X(1.08)^{10} v+X(1.08)^{11} v^2+\cdots+X(1.08)^{24} v^{15}=Y a_...")Nov 26'23 at 22:00+846