[mathjax] Review Basic Concepts – Integrals: \(\int_{0}^{\infty }{{{t}^{n}}{{e}^{-ct}}dt}=\dfrac{n!}{{{c}^{n+1}}}\) \(\int_{0}^{u}{{{t}^{n}}{{e}^{-ct}}dt}=\dfrac{1-(1+cu){{e}^{-cu}}}{{{c}^{2}}}\) \({{(\bar{I}\bar{a})}_{u}}=\dfrac{{{{\bar{a}}}_{\overline{u}}}-u{{v}^{u}}}{\delta }\) – Geometric Series: \(\sum\nolimits_{k=0}^{n-1}{a{{r}^{k}}}=a\dfrac{1-{{r}^{n}}}{1-r}\) \({{i}^{(m)}}=m({{(1+i)}^{{}^{1}/{}_{m}}}-1)\) \({{d}^{(m)}}=m(1-{{(1+i)}^{-{}^{1}/{}_{m}}})\) – Survival Function: \({{S}_{x}}(0)=1\) \(\underset{t\to \infty }{\mathop{\lim }}\,{{S}_{x}}(t)=0\) \({{S}_{x}}(t)\) must be a non-increasing function of t Review from MFE – Rate of Discount: \(d=\dfrac{i}{1+i}\) – Discounting Rate: \(v=\dfrac{1}{1+i}=1-d\) – Continuously Compounded Interest Rate: \(\delta =\ln (1+i)\)  – Simple Interest Rate i: \({i}_{t}=1+it\) , \({{v}_{t}}=\dfrac{1}{1+it}\) – PV of …

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