量化计算器与风险定价工具 · E-E-A-T 透明公式验证

ETFYield Lab 机构级金融与风险量化计算器中心

ETFYield Lab 所有量化工具均在浏览器本地确定性运行，完整披露底层数学公式、市场计息惯例（ACT/360 与 ACT/365）及模型边界假设，数据绝不离开您的终端。

交互式金融与风险量化计算器目录

每款计算器均提供实时敏感度阶梯表、明确公式推导与边界条件说明。

How much two expense ratios cost you over time, with regular contributions.

Each year: Value = (Value × (1 + gross return)) × (1 − expense ratio) + contribution

Yield to maturity, Macaulay and modified duration, convexity and DV01 from a bond’s price.

Price = Σ CFₜ ÷ (1 + y ÷ f)^(t × f)

Project an income portfolio with and without reinvesting dividends.

Each year: shares += shares × dividend per share × (1 − tax) ÷ price

Compare state-tax-exempt US Treasury bills against fully taxable bond ETFs and duration risk.

After-tax T-Bill yield = y_tbill × (1 − [t_fed + t_state × (1 − exempt%)])

透明展示各工具的核心数学恒等式与模型适用限制，便于合规与风控团队交叉复核。

量化工具名称	核心数学公式	关键审慎假设与边界条件	直达入口
ETF expense ratio calculator	Each year: Value = (Value × (1 + gross return)) × (1 − expense ratio) + contribution	Contributions are added at the end of each year. Returns are constant and before tax.	打开交互式计算器 →
Bond yield & duration calculator	Price = Σ CFₜ ÷ (1 + y ÷ f)^(t × f) ; Macaulay duration = Σ t × PV(CFₜ) ÷ Price ; Modified duration = Macaulay ÷ (1 + y ÷ f)	Assumes the bond is priced on a coupon date (no accrued interest) and that all payments are made in full.	打开交互式计算器 →
Dividend reinvestment calculator	Each year: shares += shares × dividend per share × (1 − tax) ÷ price	Annual compounding, constant growth rates and no trading costs.	打开交互式计算器 →
T-Bill vs duration ETF tax-equivalent yield comparator	After-tax T-Bill yield = y_tbill × (1 − [t_fed + t_state × (1 − exempt%)]) ; Tax-equivalent yield = After-tax T-Bill yield ÷ (1 − (t_fed + t_state)) ; Duration break-even yield rise = After-tax ETF yield ÷ Modified duration	Models ordinary income tax on distributions; does not model capital gains tax on price changes.	打开交互式计算器 →

ETFYield Lab 的量化计算器如何在保证隐私的前提下运行？

所有输入参数（头寸规模、波动率、利率与税率）均在您的浏览器本地内存中实时运算，不会向服务器发送任何交易或持仓数据。

为什么计算器同时展示公式与模型假设限制？

根据机构级 E-E-A-T 透明度标准，任何量化输出都依赖于计息基准（如 ACT/360 vs ACT/365）和分布假设（如正态分布与尾部风险）。公开公式便于风险团队独立复现结果。

这些计算结果是否构成投资建议或监管背书？

不构成。所有计算结果仅供量化研究与风险参数校准参考，实际交易前请结合持牌机构合同条款与官方监管登记册进行核实。

免责声明：本页量化工具仅供金融工程研究与教育参考，不构成任何投资或交易建议。在做出资金决策前，请务必通过官方监管登记册独立核实签约主体资质。