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    How Do You Calculate the Sum Involving Series and Normal CDF?

    I am trying to calculate the following sum: vt\Phi(a)+\frac{(vt)^2}{2!}\Phi(\sqrt{2}a)+\frac{(vt)^3}{3!}\Phi(\sqrt{3}a)+\frac{(vt)^4}{4!}\Phi ( \sqrt{4}a)+\ldots where \Phi is the standard normal CDF. v,t,a are constants. A relevant formula is...
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