Revision as of 18:16, 19 November 2023 by Admin (Created page with "'''Solution: E''' Let F, C, r, and i have their usual interpretations. The discount is <math></math>and the discount in the coupon at time t is . Then, <math display = "block"> \begin{array}{l}{{194.82=(C i-F r)\nu^{26}}}\\ {{306.69=(C i-F r)\nu^{21}}}\\ 0.63523=\nu^{5}\Longrightarrow\nu=0.91\,324\Longrightarrow i=0.095 \\ (C i-F r)=194.82(1.095)^{26}=2062.53 \\ \mathrm{Discount} = 2062.53a_{\overline{40}|0.095}=21,135. \end{array} </math> {{soacopyright | 2023 }}")
Exercise
ABy Admin
Nov 19'23
Answer
Solution: E
Let F, C, r, and i have their usual interpretations. The discount is [math][/math]and the discount in the coupon at time t is . Then,
[[math]]
\begin{array}{l}{{194.82=(C i-F r)\nu^{26}}}\\ {{306.69=(C i-F r)\nu^{21}}}\\ 0.63523=\nu^{5}\Longrightarrow\nu=0.91\,324\Longrightarrow i=0.095 \\
(C i-F r)=194.82(1.095)^{26}=2062.53 \\
\mathrm{Discount} = 2062.53a_{\overline{40}|0.095}=21,135.
\end{array}
[[/math]]
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