Exercise 1: Why the Two Pots Use Different Assumed Returns — Possible Solution ==================================================================== Both pots are genuinely "invested" in the sense this course uses the word throughout - both hold real stocks and bonds rather than sitting in cash - but this capstone's own real allocations differ between them, which is exactly what produces the different assumed returns. WHAT THE TWO POTS ACTUALLY HOLD Per this capstone's own Step 7, the retirement pot follows Chapter 9's own "100 minus age" heuristic, applied to Sam's real age of 30 - roughly 70% stocks. The house-deposit pot instead uses a more conservative 50% stocks / 50% bonds blend, deliberately different from what the age-based heuristic alone would suggest. WHY A HIGHER STOCK ALLOCATION JUSTIFIES A HIGHER ASSUMED RETURN This course's own real material, particularly Chapter 2's real S&P 500 figures and Chapter 7's own bond material, establishes that stocks carry a real, historically higher long-run average return than bonds, in exchange for real, higher volatility. A pot holding a larger real share of stocks (70%, for retirement) would therefore reasonably be assigned a higher blended assumed return than a pot holding a smaller real share of stocks and a larger share of bonds (50/50, for the house deposit) - not because one pot is "more invested" than the other, but because the actual mix of assets held differs. WHY THIS CONNECTS TO TIME HORIZON, PER CHAPTER 7 AND CHAPTER 9 This capstone's own Step 7 explains the real reasoning directly: the house-deposit pot's shorter, 5-year horizon leaves far less real time to recover from a rate shock like Chapter 7's own real 2022 example than the retirement pot's 30-year horizon does. Choosing a more conservative, bond-heavier blend for the shorter goal is a deliberate real trade-off - accepting a lower assumed return in exchange for less real exposure to the kind of volatility that could genuinely derail a near-term goal. WHY THIS ISN'T AN INCONSISTENCY Using two different assumed returns for two different real portfolios is not a contradiction - it's the correct, direct consequence of the two pots genuinely holding two different asset mixes, chosen deliberately because of their two different real time horizons. ANSWER: The two pots use different assumed returns because they hold genuinely different asset allocations, not because one is "more invested" than the other. The retirement pot follows the real "100 minus age" heuristic at roughly 70% stocks, given its long, 30-year horizon, while the house-deposit pot deliberately uses a more conservative 50/50 stocks/bonds blend because its much shorter 5-year horizon leaves far less time to recover from a real rate shock like 2022's. Since stocks carry a real, historically higher long-run return than bonds, the pot holding more stocks reasonably carries a higher assumed return - a direct, deliberate consequence of the two pots' different time horizons, not an inconsistency. WHY THIS WORKS AS AN ANSWER ------------------------------ This identifies the real underlying cause (different asset allocations) behind the different assumed returns, and connects that difference directly back to the deliberate time-horizon-driven reasoning this capstone's own Step 7 already establishes.