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(Created page with "The one-year forward rates, deferred t years, are estimated to be: {| class="table table-bordered" | Year (t) || 0 || 1 || 2 || 3 || 4 |- | Forward Rate || 4% || 6% || 8% || 10% || 12% |} Calculate the spot rate for a zero-coupon bond maturing three years from now. <ul class="mw-excansopts"><li>4%</li><li>5%</li><li>6%</li><li>7%</li><li>8%</li></ul> {{soacopyright | 2023 }}")
 
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The one-year forward rates, deferred t years, are estimated to be:
Annuity A pays 1 at the beginning of each year for three years. Annuity B pays 1 at the beginning of each year for four years.
The Macaulay duration of Annuity A at the time of purchase is 0.93. Both annuities offer the same yield rate.


{| class="table table-bordered"
Calculate the Macaulay duration of Annuity B at the time of purchase.


| Year (t)  || 0 || 1 || 2 || 3 || 4
<ul class="mw-excansopts"><li>1.240</li><li>1.369</li><li>1.500</li><li>1.930</li><li>1.965</li></ul>
|-
| Forward Rate || 4% || 6% || 8% || 10% || 12%
|}
 
Calculate the spot rate for a zero-coupon bond maturing three years from now.
 
<ul class="mw-excansopts"><li>4%</li><li>5%</li><li>6%</li><li>7%</li><li>8%</li></ul>


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

Latest revision as of 00:27, 20 November 2023

Annuity A pays 1 at the beginning of each year for three years. Annuity B pays 1 at the beginning of each year for four years. The Macaulay duration of Annuity A at the time of purchase is 0.93. Both annuities offer the same yield rate.

Calculate the Macaulay duration of Annuity B at the time of purchase.

  • 1.240
  • 1.369
  • 1.500
  • 1.930
  • 1.965

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