Investment Risk & Return Calculator|风险与收益模拟器

风险与收益模拟器 | Investment Risk & Return Calculator

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
作为模拟起点的资产规模。若你有分批投入,可在下面设置“每月定投”。
Starting portfolio value. If you invest periodically, set “Monthly Contribution” below.
模拟中按月追加投入(默认在每月月初投入,随后经历当月涨跌)。
Adds a monthly contribution in the simulation (default: contributed at the start of each month, then that month’s return applies).
工具会按“每月一步”模拟,年数会换算成月数(四舍五入)。
We simulate in monthly steps. Years are converted to months (rounded).
这是“长期平均”的假设值,并不代表每年都能实现。
This is a long-run average assumption, not a guaranteed yearly outcome.
波动率越大,结果区间越“宽”,上行和下行的不确定性都会更高。
Higher volatility widens the distribution—more upside potential and more downside risk.
一般 5,000~10,000 次就足够看“区间感”。电脑性能较弱可选 2,000。
5,000–10,000 runs are usually enough for a stable “range sense”. Use 2,000 on slower devices.
“区间”不是保证,只是统计意义上的覆盖范围。区间越高,范围越宽。
An interval is not a guarantee—just statistical coverage. Higher coverage means a wider range.
用于计算“达到目标的概率”。若不想算,清空即可。
Used to compute “probability of hitting the target”. Clear it if you don’t need this metric.
不填则每次运行结果略有不同;填入任意文本/数字可复现同一组随机序列(便于对比参数)。
Leave blank for slightly different results each run. Enter any text/number to reproduce the same random sequence (useful for comparing assumptions).

模型默认使用“对数正态 / 几何布朗运动(GBM)”的离散近似:每月收益由预期收益与波动率共同决定,并通过随机扰动生成路径。
We use a discrete approximation of a lognormal / geometric Brownian motion (GBM): monthly returns are generated from the expected return and volatility plus random shocks.

3. 使用说明 · Notes
  • 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.