The underlying mathematical formulas, algorithm derivations, and baseline engineering equations powering Yield Empire's 400+ free institutional solvers.
\text{Required Wh} = \frac{\sum (\text{Watts} \times \text{Hours})}{0.85 \times \text{Depth of Discharge}}
Calculates total battery storage capacity in Watt-hours by summing daily watt-hour loads and adjusting for inverter efficiency loss (15%) and usable battery chemistry depth.
\text{MIG Wire (lbs)} = \frac{0.5 \times \text{Leg}_1 \times \text{Leg}_2 \times \text{Length} \times 0.283}{0.85}
Calculates total deposited weld metal weight (lbs) for fillet welds using carbon steel density (0.283 lbs/in³) adjusted for MIG solid wire deposition efficiency (85%).
\text{DSCR} = \frac{\text{Net Operating Income (NOI)}}{\text{Total Debt Service (Annual Principal + Interest)}}
Determines whether cash-flowing real estate produces sufficient net income to cover annual mortgage obligations. Institutional lenders require DSCR ≥ 1.20x to 1.25x.
\text{TDEE} = \left(10W + 6.25H - 5A + S\right) \times \text{Activity Multiplier}
The Mifflin-St Jeor equation calculates Basal Metabolic Rate (BMR) from weight (kg), height (cm), and age (years), multiplied by physical activity index to determine total daily calorie burn.
\text{Required Portfolio} = \frac{\text{Annual Retirement Expenses}}{\text{Safe Withdrawal Rate (e.g. 0.035 - 0.040)}}
Determines the total capital required to sustain lifetime retirement withdrawals adjusted for inflation, sequence of returns risk, and portfolio longevity.
\text{RevPAR} = \text{Average Daily Rate (ADR)} \times \text{Occupancy Rate (\%)}
Measures revenue per available rental night across 12-month peak, shoulder, and low seasons to model break-even operating margins and annual cash-on-cash yield.