CTAS

CTAS — Valuation Models

Interactive models with editable assumptions. All calculations run client-side.

Valuation Summary

ModelIntrinsic Valuevs Price ($201.60)
DCF$88.79-56.0%
Graham Number$34.03-83.1%
Reverse DCFimplied g: 24.6%
DDM$37.08-81.6%
EV/EBITDA$201.60+0.0%

Values reflect default assumptions. Adjust inputs in each model below to update.

1 — Discounted Cash Flow (DCF)

Assumptions

Yahoo: $1.55B
Rev: 9.3% / EPS: 11.0%
Computed: 9.13%
Computed WACC: 9.13%
Cost of equity (Re)9.49%(Rf 4.30% + β 0.94 × ERP 5.50%)
Cost of debt (Rd)0.00%(no debt / unavailable → 0%)
Tax rate (T)21.00%(US statutory fallback)
Equity weight (E/V)96.16%
Debt weight (D/V)3.84%

Results

Intrinsic Value / share$86.76
Current Price$201.60
Upside / Downside-57.0%
Net Debt (used)$3.04B
Sensitivity: WACC (rows) × Near-term g (cols)
WACC \ Near-term3.0%7.0%11.0%15.0%19.0%
7.0%$92.85$112.37$134.92$160.84$190.51
8.0%$74.03$89.62$107.62$128.29$151.93
9.0%$61.03$73.93$88.79$105.85$125.33
10.0%$51.53$62.45$75.04$89.46$105.92
11.0%$44.28$53.71$64.56$76.98$91.15

2 — Graham Number

Assumptions

Graham used 22.5 (15× P/E × 1.5× P/B)
Yahoo: $4.62
Yahoo: $11.14

Results

Graham Number$34.03
Current Price$201.60
Margin of Safety-83.1%
Formula: √(22.5 × max(0,EPS) × max(0,BVPS))

3 — Reverse DCF (Implied Growth)

Assumptions

Computed: 9.13%
Computed WACC: 9.13%
Cost of equity (Re)9.49%(Rf 4.30% + β 0.94 × ERP 5.50%)
Cost of debt (Rd)0.00%(no debt / unavailable → 0%)
Tax rate (T)21.00%(US statutory fallback)
Equity weight (E/V)96.16%
Debt weight (D/V)3.84%

Results

Current Price$201.60
Implied Near-term FCF Growth25.0%
Historical Revenue Growth9.3%
Historical Earnings Growth11.0%
Base FCF (TTM)$1.55B
Implied growth is the FCF growth rate (yrs 1–5) that makes the DCF intrinsic value equal the current price. Long-term growth is set to half the implied near-term rate.

4 — Dividend Discount Model (DDM)

Assumptions

Yahoo: $1.80

Results

DDM Intrinsic Value / share$37.08
Current Price$201.60
Upside / Downside-81.6%
Formula: D0 × (1+g) / (r − g)

5 — EV/EBITDA Multiple

Assumptions

Yahoo: $2.85B
Current: 29.4×
Default: $3.04B

Results

Implied Equity Value / share$201.60
Current Price$201.60
Upside / Downside+0.0%
Implied EV$83.66B
Sensitivity: EV/EBITDA multiple (rows) × Net Debt (cols)
Mult \ Net Debt$1.04B$2.04B$3.04B$4.04B$5.04B
25.4x$178.11$175.61$173.10$170.60$168.10
27.4x$192.36$189.85$187.35$184.85$182.35
29.4x$206.60$204.10$201.60$199.10$196.60
31.4x$220.85$218.35$215.85$213.35$210.85
33.4x$235.10$232.60$230.10$227.60$225.10