03 // 双向 STEM 与金融计算器 // 金融理财、企业估值与 SAAS 指标计算器PV = D₁ / ((r - g) / 100)

永续增长年金与戈登增长模型估值计算器

基于戈登增长模型 PV = D₁ / (r - g),反推内在估值、下期现金流、股权资本成本或永续增长率。

PV = D₁ / ((r - g) / 100)
选择要计算的未知量(或直接在任意输入框中输入数值):当前求解: PV — Intrinsic Present Value
计算结果

Present value of the infinite growing cash-flow stream

100100,000,000.00

Expected distributable cash flow in the next 12 months

1010,000,000.00

Required annual rate of return in percent

130
%

Long-term terminal annual growth rate in percent (must be < r)

-515
%
计算结果 · Intrinsic Present Value (PV)
2,000,000.00$
单位换算:

分步代入计算过程

01Canonical Law: PV = D₁ / ((r - g) / 100)
02Given Inputs (Base Units): D₁ = 120,000 $, r (%) = 9, g (%) = 3
03Solve for PV (Intrinsic Present Value): PV = 2,000,000 $

A growing perpetuity values an infinite stream of cash flows growing at constant rate g discounted at required return r (where r > g): PV = D₁ / ((r - g) / 100).

常见参考标准值

DCF Terminal Growth Rate (g)2.0% – 3.0%

Bounded by long-run nominal GDP growth

Cap Rate (r - g)4.5% – 7.5%

Real estate & infrastructure capitalization spread

Zero-Growth Perpetuityg = 0% → PV = D₁ / r

Preferred stock and British consol valuation

20 行数值对照表

Intrinsic Present Value (PV) · Year-1 Cash Flow / Dividend (D₁)

Growing Perpetuity & Gordon Growth Valuation Solver — Year-1 Cash Flow / Dividend → Intrinsic Present Value
#Year-1 Cash Flow / Dividend ($)Intrinsic Present Value ($)Δ %
0110 $166.6667 $-99.99%
0278,693.61 $1,311,560.20 $-34.42%
03120,000.00 $当前2,000,000.00 $0.00%
04236,060.84 $3,934,347.26 $+96.72%
05314,744.45 $5,245,740.79 $+162.29%
06393,428.06 $6,557,134.32 $+227.86%
07472,111.67 $7,868,527.85 $+293.43%
08550,795.28 $9,179,921.38 $+359.00%
09629,478.89 $10,491,314.91 $+424.57%
10708,162.51 $11,802,708.44 $+490.14%
11786,846.12 $13,114,101.97 $+555.71%
12865,529.73 $14,425,495.50 $+621.27%
13944,213.34 $15,736,889.04 $+686.84%
141,022,896.95 $17,048,282.57 $+752.41%
151,101,580.57 $18,359,676.10 $+817.98%
161,180,264.18 $19,671,069.63 $+883.55%
171,258,947.79 $20,982,463.16 $+949.12%
181,337,631.40 $22,293,856.69 $+1014.69%
191,416,315.01 $23,605,250.22 $+1080.26%
201,494,998.63 $24,916,643.75 $+1145.83%
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常见问题解答 (FAQ)

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