Advanced Retirement Corpus Goal Planner

The mathematical methodology used to determine the required retirement corpus combines inflation adjustments and real return annuity pricing: 1. **Expenses Adjusted for Inflation at Retirement**: $$\text{Retire Expense} = \text{Current Monthly Expense} \times (1 + f)^{N_{\text{pre}}}$$ Where $f$ is the inflation rate and $N_{\text{pre}}$ is the number of years until retirement (Retirement Age - Current Age). 2. **Real Rate of Return (Inflation-Adjusted)**: $$r_{\text{real}} = \frac{1 + R_{\text{post}}}{1 + f} - 1$$ Where $R_{\text{post}}$ is the annual return rate earned on the corpus during retirement. 3. **Total Retirement Corpus Goal**: $$\text{Corpus} = (\text{Retire Expense} \times 12) \times \frac{1 - (1 + r_{\text{real}})^{-N_{\text{post}}}}{r_{\text{real}}} \times (1 + r_{\text{real}})$$ Where $N_{\text{post}}$ is the retirement duration (Life Expectancy - Retirement Age). Note that if the real rate of return is exactly zero (return matches inflation), the corpus required is simply the annual expense multiplied by the number of years in retirement.