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Estimation, Evaluation, and Selection of Actuarial Models

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Appendix B<br />

Using Micros<strong>of</strong>t Excel TM<br />

Excel is a useful tool for doing the calculations in this Note. In particular, the Solver add-in has the<br />

ability to numerically maximize functions <strong>of</strong> several variables. Its use is covered in this Appendix.<br />

The Solver is not automatically available when Excel is installed. If it is available, you can tell<br />

because “Solver” will appear on Excel’s Tools menu. If it does not, it must be added in. To do<br />

this, select “Add-ins” from the Tools menu, check the Solver box <strong>and</strong> then click OK. If Solver does<br />

not appear on the Add-in list, Solver was not installed when Excel was installed on your machine.<br />

This will be the case if a typical (as opposed to full or custom) install was done. To install Solver,<br />

go to Add/Remove Programs in the Control Panel <strong>and</strong> modify your Office installation. You will<br />

not need to reinstall all <strong>of</strong> Office to add the Solver.<br />

Use <strong>of</strong> the Solver is illustrated with an example in which maximum likelihood estimates for the<br />

gamma distribution are found for Data Set B right censored at 200. If you have not read far enough<br />

to appreciate this example, it is not important.<br />

Begin by setting up a spreadsheet in which the parameters (alpha <strong>and</strong> theta) are in identifiable<br />

cells as is the objective function (lnL). In this example the parameters are in E1 <strong>and</strong> E2 <strong>and</strong> the<br />

objective function is in E3.<br />

131

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