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The Mathematical Proof That VoIP Saves Money (For Sceptics Who Want Hard Numbers)

Some finance directors want proof, not promises. Fair enough. Here is the mathematical model for VoIP cost savings, with every variable exposed and every assumption documented.

The Model

Variables

N  = number of phone users
Cl = current monthly cost per line (legacy)
Cv = VoIP monthly cost per user
H  = hardware cost per desk phone (one-time)
P  = percentage of users needing desk phones (vs softphone-only)
I  = implementation cost (one-time)
M  = months in analysis period
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Legacy Total Cost of Ownership (M months)

TCO_legacy = N × Cl × M
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Note: legacy Cl includes line rental, maintenance, features, long distance, and IT admin time allocated per user.

VoIP Total Cost of Ownership (M months)

TCO_voip = (N × Cv × M) + (N × P × H) + I
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Monthly Savings

S_monthly = N × (Cl - Cv)
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Break-Even Point (months)

BEP = (N × P × H + I) / (N × (Cl - Cv))
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Return on Investment (over M months)

ROI = ((N × (Cl - Cv) × M) - (N × P × H + I)) / (N × P × H + I) × 100%
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Plugging In Real UK Numbers

Typical UK Values

Variable Legacy Value VoIP Value Source
Cl (per user/month) £58 Avg from 500 bill audits
Cv (per user/month) £24 DialPhone standard plan
H (per desk phone) £130 Yealink T33G
P (% needing desk phone) 40% Industry average 2026
I (implementation) £0 DialPhone includes it

Results by Company Size

Users (N) Legacy/month VoIP/month Monthly Save Hardware Break-Even 3-Year Savings 3-Year ROI
10 £580 £240 £340 £520 1.5 mo £11,720 2,154%
25 £1,450 £600 £850 £1,300 1.5 mo £29,300 2,154%
50 £2,900 £1,200 £1,700 £2,600 1.5 mo £58,600 2,154%
100 £5,800 £2,400 £3,400 £5,200 1.5 mo £117,200 2,154%
200 £11,600 £4,800 £6,800 £10,400 1.5 mo £234,400 2,154%

Sensitivity Analysis

What if our assumptions are wrong?

Scenario Cl Cv P Break-Even 3-Year Savings (50 users)
Base case £58 £24 40% 1.5 mo £58,600
Legacy cheaper than avg £42 £24 40% 2.4 mo £29,000
VoIP more expensive £58 £32 40% 1.7 mo £44,200
Everyone needs desk phone £58 £24 100% 3.8 mo £55,000
High implementation cost £58 £24 40% 1.8 mo £56,100
Worst case (all above) £42 £32 100% 13 mo £11,800

Even in the absolute worst case — where legacy is cheaper than average, VoIP is more expensive than expected, every user needs a desk phone, and implementation costs extra — VoIP still saves £11,800 over 3 years with a 13-month break-even.

In the base case, break-even is 6 weeks and 3-year savings are £58,600.

The Proof

VoIP saves money under EVERY realistic scenario because:

  1. Cl > Cv in 100% of the 500 bills we audited. The average legacy per-user cost (£58) is 2.4× the average VoIP per-user cost (£24).

  2. Hardware cost is one-time. A £130 phone is paid once. The £34/month saving recurs every month for years.

  3. 60% of users do not need desk phones. Softphone + headset (£60) costs less than a desk phone (£130).

  4. Implementation cost is £0 with most cloud providers. Even if it is £5,000, it is recovered in 3 months of savings.

The maths does not require faith. It requires a calculator.

For your own calculation, use the model above with your actual numbers. Or send your invoices to DialPhone for a free analysis — we will run the model for you and show you the exact break-even point for your business.

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