exercise:C70a6d365d: Difference between revisions

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(Created page with "'''Solution: A''' The 3-year interest rate is <math>1.07^3-1=0.225043</math> Then, <math display = "block"> 735=X\ddot{a}_{\overline{\infty}|0.225043}=X\,\frac{1.225043}{0.225043}=5.443595X\,\,\,\mathrm{and}\,X=735/5.443595=135.02. </math> {{soacopyright | 2023 }}")
 
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'''Solution: A'''
The present value of a perpetuity-due with payments of X at the beginning of each 3-year period with an annual effective interest rate of 7% is 735.


The 3-year interest rate is <math>1.07^3-1=0.225043</math>
Calculate X.


Then,
<ul class="mw-excansopts"><li>135</li><li>138</li><li>141</li><li>144</li><li>147</li></ul>
 
<math display = "block">
735=X\ddot{a}_{\overline{\infty}|0.225043}=X\,\frac{1.225043}{0.225043}=5.443595X\,\,\,\mathrm{and}\,X=735/5.443595=135.02.
 
</math>


{{soacopyright | 2023 }}
{{soacopyright | 2023 }}

Latest revision as of 11:54, 18 November 2023

The present value of a perpetuity-due with payments of X at the beginning of each 3-year period with an annual effective interest rate of 7% is 735.

Calculate X.

  • 135
  • 138
  • 141
  • 144
  • 147

Copyright 2023 . The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.