风险与收益模拟器 Investment Risk & Return Calculator
在「预期收益」与「波动率」的假设下,用 Monte Carlo 随机路径模拟资金未来可能的结果区间(分位数、亏损概率、目标达成概率)。
Under assumed expected return and volatility, run Monte Carlo simulations to estimate a range of possible portfolio outcomes (percentiles, loss probability, target-hit probability).
1. 输入参数 · Simulation Parameters
3. 使用说明 · Notes
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你在模拟什么? · What are we simulating?
中文: 你给出“预期年化收益”和“年化波动率”,工具用随机路径去模拟未来每个月的涨跌,并在期末汇总出一个“可能结果分布”。这不是预测某个确定值,而是帮助你建立“区间思维”。
English: You provide an expected annual return and annual volatility. The tool simulates random monthly paths and summarizes an ending-value distribution. It’s not a single-point forecast—it’s for building range-based thinking. -
中位数 vs 平均值 · Median vs Mean
中文: 在“对数正态”分布下,平均值往往会被少数极端高收益路径拉高;中位数更像“典型结果”。投资规划时,很多人更关心中位数和分位区间。
English: With lognormal outcomes, the mean is often pulled up by a small number of very large winners. The median usually reflects a more “typical” outcome. For planning, percentiles and the median can be more informative than the mean. -
波动率不是“坏事”,但它会放大不确定性 · Volatility isn’t always “bad” — it widens uncertainty
中文: 波动率越大,你看到的“上界可能更高、下界可能更低”。这意味着:你需要更强的风险承受能力、更长的持有时间、或更合理的仓位与分散。
English: Higher volatility increases both upside potential and downside risk. It typically requires higher risk tolerance, longer holding periods, and/or better diversification and position sizing. -
“亏损概率”如何理解? · How to interpret “Probability of Loss”
中文: 这里的亏损口径是:期末资产是否小于“总投入”(初始资金 + 所有定投)。它是一个“结果概率”,不是说中间过程没有回撤;很多路径会经历大幅回撤后又恢复。
English: Loss here means: ending value is below total contributed (initial + contributions). It’s an outcome probability, not a statement about drawdowns along the way—many paths can dip deeply and later recover. -
为什么需要“目标金额”? · Why set a target?
中文: 目标达成概率能帮助你把“收益假设”转成更直观的决策问题:在当前假设与投入节奏下,达到某个目标的把握有多大?如果概率太低,你可以尝试调整:投入、期限、预期收益(更保守/更积极)、或降低波动(更分散)。
English: Target probability turns assumptions into a decision-oriented question: under your return/volatility assumptions and contribution plan, how likely are you to reach a goal? If the probability is too low, try adjusting contributions, horizon, assumptions, or diversification. -
参数怎么填更“现实”? · How to pick more realistic inputs?
中文: 预期收益与波动率通常来自:历史回测(长期)、资产配置(股票/债券比例)、或你对策略的长期判断。一般建议做三组情景:保守 / 基准 / 乐观,然后比较区间与亏损概率,而不是只盯一组数字。
English: Expected return and volatility can be informed by long-run history, asset allocation (e.g., stock/bond mix), or your strategy’s long-term view. A practical approach is to run three scenarios—conservative / base / optimistic—and compare ranges and loss probabilities rather than fixating on one set of numbers. -
重要限制 · Key limitations (very important)
中文: 本工具使用简化模型:收益独立同分布、波动恒定、没有交易成本/税费/滑点、没有极端事件的“肥尾”结构,也没有考虑再平衡与现金流在真实市场中的复杂行为。因此结果仅用于学习与估算,不构成任何投资建议。
English: This is a simplified model: i.i.d. returns, constant volatility, no fees/taxes/slippage, and limited handling of fat tails and extreme events. It also ignores rebalancing and many real-world market frictions. Use it for education and rough estimation only—this is not investment advice. -
一个实用的用法 · A practical workflow
中文: 先固定期限与投入(更接近你能控制的变量),然后分别调“收益/波动”做情景对比。你会更清楚:自己承担的到底是“收益不足”的风险,还是“波动过大导致路径风险/心态崩盘”的风险。
English: First fix the horizon and contribution plan (things you can control), then vary return/volatility assumptions across scenarios. This helps you see whether your main risk is “insufficient returns” or “path/volatility risk that breaks discipline”.
免责声明 / Disclaimer:本页面内容仅用于教育与测算参考,不构成投资建议或收益承诺。投资有风险,入市需谨慎。
This page is for educational and estimation purposes only. It does not constitute investment advice or any return guarantee. Investing involves risk.
