Free Testosterone Calculator (Vermeulen)

Quick answer

The free testosterone calculator estimates free and bioavailable testosterone from total testosterone, SHBG and albumin with the Vermeulen equation, the method recommended by the Endocrine Society when free testosterone is not measured directly.

nmol/L
Free testosterone
274 pmol/L
Free testosterone (pg/mL)
78.9
Free testosterone as % of total
1.82 %
Bioavailable testosterone
6.41 nmol/L

Only 1–3% of testosterone circulates free; the rest is bound tightly to SHBG or loosely to albumin. Free and albumin-bound (bioavailable) testosterone reflect androgen activity better than total testosterone when SHBG is abnormal – for example in obesity, ageing, liver or thyroid disease.

How to use the Free Testosterone Calculator

  1. Total testosterone
  2. SHBG
  3. Albumin

Results update as you type, and every field accepts the units shown in its menu.

How it works

Enter total testosterone, SHBG and albumin from a morning blood test.

Inputs explained

Field What to enter
Total testosterone Units: nmol/L, ng/dL
SHBG In nmol/L
Albumin Units: g/dL, g/L

What each result means

  • Free testosterone = (-[b] + sqrt([b]^2 + 4×[a]×[Total testosterone]×1e-9))÷(2×[a])×1e12
  • Free testosterone (pg/mL) = [Free testosterone]×0.2884
  • Free testosterone as % of total = [Free testosterone]÷1000÷[Total testosterone]×100
  • Bioavailable testosterone = [Free testosterone]×[N]÷1000

Example values

How the main result changes when Total testosterone changes and everything else stays at the example values above:

Total testosterone (nmol/L) Free testosterone (pmol/L)
7.5 127
11.25 198
15 274
18.75 354
22.5 439
30 624

Health note: this calculator is for education and screening only and is not a diagnosis or treatment advice. Discuss your results with a qualified clinician.

Formula

FT = (−b + √(b² + 4a·TT)) ÷ 2a, with N = 1 + Ka × albumin, a = N × Kt, b = N + Kt × (SHBG − TT) Ka (albumin) = 3.6 × 10⁴ L/mol, Kt (SHBG) = 10⁹ L/mol Bioavailable T = FT × N

Worked example

Inputs — Total testosterone: 15 nmol/L; SHBG: 40 nmol/L; Albumin: 4.3 g/dL.
Results — Free testosterone = 274 pmol/L; Free testosterone (pg/mL) = 78.9; Free testosterone as % of total = 1.82 %; Bioavailable testosterone = 6.41 nmol/L.

Key terms

SHBG
Sex hormone-binding globulin.

Frequently asked questions

What is a normal free testosterone in men?

Roughly 200–600 pmol/L (60–170 pg/mL), depending on the lab and age.

Why calculate rather than measure?

Direct analogue assays are inaccurate; equilibrium dialysis is accurate but expensive.

When is free testosterone useful?

When total testosterone is borderline or SHBG is abnormal.

Sources

  1. Vermeulen A et al. A critical evaluation of simple methods for the estimation of free testosterone in serum. J Clin Endocrinol Metab, 1999

Cite this calculator

Speedy Calculator. (2026). Free Testosterone Calculator (Vermeulen). Speedy Calculator. https://speedycalculator.com/calculators/health/free-testosterone/