<!DOCTYPE book PUBLIC "-//OASIS//DTD DocBook V4.1//EN">
<book>
  <title>Math Example</title>
  <chapter>
    <title>Example</title>
    <para>PV of CF today:
CF&times;&sum;exp[-f<subscript>i</subscript>t<subscript>i</subscript>]</para>
  <para>PV of CF at each future point in time <emphasis>j</emphasis>:
CF&times;&sum;<subscript>i&gt;j</subscript>exp[-f<subscript>i</subscript>t<subscript>i</subscript>]</para>
    <para>The relationship between the price of a future and the implied rate
is P&equals;100&times;(1&minus;R&divide;4), where R is a simple annualized
rate, so a change in the price of a future is exactly equal to a change in the
rate implied by the future.</para>
    <para>If rate f<subscript>k</subscript> changes by one basis point, then
the PV of CF today and for all points is changed by
CF&times;&sum;exp<superscript>-0.0001&times;t<subscript>i</subscript>
</superscript><footnote><para>Footnote here</para></footnote></para>
  </chapter>
  <chapter>
    <title>Example</title>
    <para>PV of CF today:
CF&times;&sum;exp[-f<subscript>i</subscript>t<subscript>i</subscript>]</para>
  <para>PV of CF at each future point in time <emphasis>j</emphasis>:
CF&times;&sum;<subscript>i&gt;j</subscript>exp[-f<subscript>i</subscript>t<subscript>i</subscript>]</para>
    <para>The relationship between the price of a future and the implied rate
is P&equals;100&times;(1&minus;R&divide;4), where R is a simple annualized
rate, so a change in the price of a future is exactly equal to a change in the
rate implied by the future.</para>
    <para>If rate f<subscript>k</subscript> changes by one basis point, then
the PV of CF today and for all points is changed by
CF&times;&sum;exp<superscript>-0.0001&times;t<subscript>i</subscript>
</superscript><footnote><para>Footnote here</para></footnote></para>
  </chapter>
</book>




