Careers · Education Economics

The Real Math of a "Free" Scholarship

Funded cohorts (like the 500-seat DevCareer × Coursera program) remove tuition — but your hours are the real investment. Model them honestly before you apply.

Your 12-month skill trajectory, in 3D

total hours invested
expected extra income / yr
expected value per study hour
months to break even on time

Green bars = cumulative expected skill value by month (salary lift × completion odds, ramping in after month 6). Drag to rotate. Every slider reshapes the bars.

Why completion probability dominates

MOOC research consistently finds completion rates between 5–15% for free self-paced courses, but 40–70% for funded cohorts with deadlines, mentors, and peer pressure. That is the entire economic argument for cohort scholarships: the certificate isn't worth more, the probability of finishing is. Doubling your completion odds doubles your expected ROI without studying one extra hour — check it on the slider above.

A worked example

Suppose you study 10 hrs/week for 12 months (~520 hours), earn $400/month now, and a completed credential + portfolio typically lifts earnings 40% in your market. With a 60% chance of finishing:

QuantityFormulaValue
Hours invested10 × 52520 hrs
Full-success gain$400 × 40% × 12$1,920 / yr
Expected gain$1,920 × 0.60$1,152 / yr
Value per hour$1,152 ÷ 520≈ $2.22 / hr, recurring every year

The per-hour number looks small in year one — but unlike wage work it recurs: the lift compounds across your whole career. Ten years at that lift is $11,500+ from one funded cohort.

How to actually win one of 500 seats

1. Apply early: rolling reviews mean late applications compete for fewer seats. 2. Show consistency, not credentials: selectors look for evidence you finish things — a 60-day GitHub streak beats a list of started courses. 3. State a specific outcome: "I will build X and apply to Y roles" outperforms "I want to learn tech." 4. Budget the hours first: programs report that dropouts overwhelmingly cite time, not difficulty. If the slider above says 15 hrs/week and you have 5, pick a lighter track — a finished small program beats an abandoned big one.

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