Alimond

$Min\ TBAL={\frac {Incremental\ Cost}{Days\ Saved\times \left[k-ECR\times \left(1-rr\right)\right]/365}}$

$Min\ TBAL={\frac {\$15-\$0.30}{1\times \left[9\%-0\%\times \left(1-12\%\right)\right]/365}}=\$59,617$

$Min\ TBAL={\frac {\$15-\$0.30}{1\times \left[9\%-4\%\times \left(1-12\%\right)\right]/365}}=\$97,911$

$Total\ Cost=Fee+\left(k\times \left\{ACB-\left[{\frac {\left(SC-Fee\right)}{ECR\left(1-rr\right)}}\right]\right\}\right)$

$Total\ Cost=0+\left({\frac {12\%}{52}}\times \left\{\$35,000-\left[{\frac {\left(\$2-0\right)}{\frac {6\%\left(1-12\%\right)}{52}}}\right]\right\}\right)=\$76.22$

$Total\ Cost=\$100-\left({\frac {12\%}{52}}\times \$35,000\right)=\$19.23$

$Total\ Cost=0+\left({\frac {10\%}{52}}\times \left\{\$15,000-\left[{\frac {\left(\$10-0\right)}{\frac {4.5\%\left(1-12\%\right)}{52}}}\right]\right\}\right)=\$3.59$

$Total\ Cost=\$100-\left({\frac {10\%}{52}}\times \$15,000\right)=\$71.15$

$NPV={\frac {1,000\times \$0.40}{10\%/12}}-\$60,000=-\$12,000$

$NPV={\frac {5,000\times \$0.40}{10\%/12}}-\$40,000=\$200,000$

$NPV={\frac {1,000\times \$0.40}{5\%/12}}-\$40,000=\$56,000$

$NPV={\frac {1,000\times \$1}{10\%/12}}-\$40,000=\$80,000$

$NPV={\frac {5,000\times \$1}{5\%/12}}-\$60,000=\$1,140,000$

$NPV={\frac {1,000\times \$0.40}{(1+.10)^{(1/12)}-1}}-\$40,000=\$10,162$

$NPV={\frac {1,000\times \$0.40}{(1+.10)^{(1/12)}-1}}-\$60,000=-\$9,838$

$NPV={\frac {5,000\times \$0.40}{(1+.10)^{(1/12)}-1}}-\$40,000=\$210,811$

$NPV={\frac {1,000\times \$0.40}{(1+.05)^{(1/12)}-1}}-\$40,000=\$58,181$

$NPV={\frac {1,000\times \$1}{(1+.10)^{(1/12)}-1}}-\$40,000=\$85,405$

$NPV={\frac {5,000\times \$1}{(1+.05)^{(1/12)}-1}}-\$60,000=\$1,167,258$

$PV={\frac {-\$20,000}{\left[1+\left(.12\times {\frac {4}{365}}\right)\right]}}-\$8.35=-\$19,982$

$PV={\frac {-\$20,000}{\left[1+\left(.12\times {\frac {1}{365}}\right)\right]}}-\$3.00=-\$19,996$

$PV={\frac {-\$20,000}{\left[1+\left(.08\times {\frac {4}{365}}\right)\right]}}-\$8.35=-\$19,991$

$PV={\frac {-\$20,000}{\left[1+\left(.08\times {\frac {1}{365}}\right)\right]}}-\$3.00=-\$19,999$

${\frac {\frac {\$8.35-\$3.00}{\$20,000}}{4-1}}\times 365=3.254\%$

$Z={\frac {\left|\$0-\$300,000\right|}{\$275,000}}=1.091$

$EFN={\frac {\Delta S}{S_{o}}}\times TA-{\frac {\Delta S}{S_{o}}}\times CL-PM\times S_{1}\times (1-b)$

$EFN=30\%\times \$3,000-30\%\times \$500-\left[{\frac {\$479.8}{\$5,500}}\times \left(\$5,500\times 130\%\right)\times \left(1-{\frac {\$400}{\$479.8}}\right)\right]$

<math>EFN=\$900,000-\$150,000-\$103,740=\$646,260