prism-d1-velocity

PRISM D1 Velocity – ROI Calculation Model

A practical, defensible framework for quantifying return on AI-augmented engineering investment. Designed to be presented to CFOs and board-level stakeholders alongside PRISM maturity assessments.


Input Variables

Collect these values before running calculations. Sources noted for each.

Team & Cost Inputs

Variable Symbol Source Example
Fully-burdened engineering cost per hour C_hr Finance / HR $125/hr
Average team size (engineers) N_eng Org chart 8
Number of teams N_teams Org chart 5
Working hours per month per engineer H_month Standard 160
Average new hire onboarding time (weeks) T_onboard Engineering management 6 weeks
New engineers onboarding per quarter N_new Hiring plan 3

Current Metric Inputs (Pre-AI or Current State)

Variable Symbol Source Example
Current deployment frequency (deploys/day) DF_current PRISM/D1/DeploymentCount 1.2
Current lead time (hours) LT_current PRISM/D1/LeadTimeSeconds / 3600 72h
Current change failure rate CFR_current PRISM/D1/ChangeFailureRate 25%
Current MTTR (hours) MTTR_current PRISM/D1/MTTRSeconds / 3600 12h
Current monthly defect count D_current Incident tracking 15
Average cost per production incident C_incident Post-incident reviews $8,000
Average incident blast radius cost C_blast SRE estimates $25,000
Monthly AI platform spend S_ai AWS Cost Explorer $3,500

Target Metric Inputs (Post-AI at Next PRISM Level)

Variable Symbol Source Example
Target deployment frequency DF_target PRISM level thresholds 3.0
Target lead time (hours) LT_target PRISM level thresholds 24h
Target change failure rate CFR_target PRISM level thresholds 12%
Target MTTR (hours) MTTR_target PRISM level thresholds 4h
Target monthly defect count D_target Based on CFR improvement 8
Target onboarding time (weeks) T_onboard_target AI-assisted ramp 3 weeks

ROI Dimension 1: Velocity ROI

What it measures: Engineering time saved through faster cycle times and higher deployment frequency.

Formula

Hours saved per engineer per month:
  H_saved = (LT_current - LT_target) / LT_current * H_month * utilization_factor

Where utilization_factor = 0.35
  (proportion of eng time spent in commit-to-deploy cycle)

Velocity ROI (monthly, per team):
  ROI_velocity = H_saved * N_eng * C_hr

Velocity ROI (monthly, org-wide):
  ROI_velocity_org = ROI_velocity * N_teams

Example: L2 to L3

H_saved = (72 - 24) / 72 * 160 * 0.35 = 37.3 hours/eng/month
ROI_velocity = 37.3 * 8 * $125 = $37,333/month per team
ROI_velocity_org = $37,333 * 5 = $186,667/month

Example: L3 to L4

H_saved = (24 - 4) / 24 * 160 * 0.35 = 46.7 hours/eng/month
ROI_velocity = 46.7 * 8 * $125 = $46,667/month per team
ROI_velocity_org = $46,667 * 5 = $233,333/month

ROI Dimension 2: Quality ROI

What it measures: Cost avoided through fewer production defects and failures.

Formula

Defects prevented per month:
  D_prevented = D_current - D_target

  Alternative calculation from CFR:
  D_prevented = DF_current * 30 * (CFR_current - CFR_target)

Quality ROI (monthly):
  ROI_quality = D_prevented * C_incident

MTTR improvement value (monthly):
  ROI_mttr = D_target * (MTTR_current - MTTR_target) * C_hr * N_eng_on_incident

Where N_eng_on_incident = 2.5
  (average engineers pulled into incident response)

Example: L2 to L3

D_prevented = 15 - 8 = 7 defects/month
ROI_quality = 7 * $8,000 = $56,000/month

ROI_mttr = 8 * (12 - 4) * $125 * 2.5 = $20,000/month

Total Quality ROI = $76,000/month

Example: L3 to L4

D_prevented = 8 - 3 = 5 defects/month
ROI_quality = 5 * $8,000 = $40,000/month

ROI_mttr = 3 * (4 - 1) * $125 * 2.5 = $2,813/month

Total Quality ROI = $42,813/month

ROI Dimension 3: Eval ROI

What it measures: Value of incidents prevented by eval gates catching defective AI-generated code before merge.

Formula

Eval-blocked merges per month:
  M_blocked = total_ai_merges * (1 - EvalGatePassRate)

Incidents prevented (assuming X% of blocked merges would have caused incidents):
  I_prevented = M_blocked * incident_probability

Where incident_probability = 0.15
  (estimated probability a failed-eval merge causes a production incident)

Eval ROI (monthly):
  ROI_eval = I_prevented * C_blast

Example: L2 to L3

Assume 200 AI-assisted merges/month, 82% pass rate:
M_blocked = 200 * (1 - 0.82) = 36 blocked merges
I_prevented = 36 * 0.15 = 5.4 incidents prevented
ROI_eval = 5.4 * $25,000 = $135,000/month

Example: L3 to L4

Assume 350 AI-assisted merges/month, 94% pass rate:
M_blocked = 350 * (1 - 0.94) = 21 blocked merges
I_prevented = 21 * 0.15 = 3.15 incidents prevented
ROI_eval = 3.15 * $25,000 = $78,750/month

Note: Eval ROI is often the most impactful and most surprising number. It makes the case for investing in eval infrastructure.


ROI Dimension 4: Platform ROI

What it measures: Reduced onboarding time for new engineers through AI-assisted codebase navigation, documentation, and code generation.

Formula

Onboarding weeks saved per new hire:
  W_saved = T_onboard - T_onboard_target

Onboarding hours saved per new hire:
  H_onboard_saved = W_saved * 40

Platform ROI (quarterly):
  ROI_platform = N_new * H_onboard_saved * C_hr

Platform ROI (monthly):
  ROI_platform_monthly = ROI_platform / 3

Example: L2 to L3

W_saved = 6 - 4 = 2 weeks
H_onboard_saved = 2 * 40 = 80 hours
ROI_platform = 3 * 80 * $125 = $30,000/quarter = $10,000/month

Example: L3 to L4

W_saved = 4 - 2 = 2 weeks
H_onboard_saved = 2 * 40 = 80 hours
ROI_platform = 3 * 80 * $125 = $30,000/quarter = $10,000/month

Total ROI Summary

L2 to L3 Transition (Example: 5 teams, 8 eng each)

Dimension Monthly Value
Velocity ROI $186,667
Quality ROI $76,000
Eval ROI $135,000
Platform ROI $10,000
Total Monthly Value $407,667
Monthly AI Platform Spend ($3,500)
Net Monthly ROI $404,167
ROI Multiplier 115x

L3 to L4 Transition (Example: 5 teams, 8 eng each)

Dimension Monthly Value
Velocity ROI $233,333
Quality ROI $42,813
Eval ROI $78,750
Platform ROI $10,000
Total Monthly Value $364,896
Monthly AI Platform Spend ($7,000)
Net Monthly ROI $357,896
ROI Multiplier 52x

Sensitivity Analysis Guidance

ROI models are only as good as their inputs. Run these sensitivity tests before presenting:

Key Variables to Stress-Test

Variable Low Estimate Base High Estimate Impact on Total ROI
C_hr (eng cost) $85/hr $125/hr $175/hr Scales Velocity + Platform linearly
C_incident (incident cost) $3,000 $8,000 $20,000 Scales Quality linearly
C_blast (blast radius) $10,000 $25,000 $75,000 Scales Eval linearly
incident_probability 5% 15% 30% Scales Eval linearly
utilization_factor 20% 35% 50% Scales Velocity linearly

Running a Sensitivity Range

For CFO presentation, show a 3-column table:

                Conservative    Base Case    Optimistic
Velocity ROI    $112,000        $186,667     $266,667
Quality ROI     $28,500         $76,000      $190,000
Eval ROI        $27,000         $135,000     $405,000
Platform ROI    $6,800          $10,000      $14,000
---------------------------------------------------
Total           $174,300        $407,667     $875,667
ROI Multiplier  50x             115x         250x

Use the conservative estimate as your “floor” when presenting. If the floor is still compelling, the investment case is strong.

What CFOs Want to Hear

  1. Payback period. At $3,500/month spend, the investment pays for itself in the first day of each month even at conservative estimates.
  2. Marginal cost. Bedrock pricing is usage-based. Show the cost curve: spend scales sub-linearly with adoption because prompt caching and model improvements reduce per-query cost over time.
  3. Opportunity cost. What does NOT doing this cost? Frame it as: “Every month at L2 instead of L3 represents $400K+ in unrealized engineering value.”
  4. Comparison to alternatives. A single senior engineer hire costs ~$25K/month fully burdened. The AI platform delivers equivalent output value of 3-5 senior engineers.

How to Present This to a CFO

Slide 1: The Headline

Slide 2: The Scorecard

Slide 3: ROI Breakdown

Slide 4: Investment Profile

Slide 5: What Happens If We Don’t

Language Tips for CFO Audiences


This ROI model is part of the PRISM D1 Velocity metrics platform. All input metrics are sourced from the PRISM/D1 CloudWatch namespace and Timestream database. Update input variables quarterly or when team structure changes significantly.