Corporate Governance & Capital Structure
Jensen Free Cash Flow Agency & Debt Discipline Formula
Model Michael Jensen’s (1986) Free Cash Flow overinvestment agency loss and quantify how mandatory debt service curbs negative-NPV empire building before triggering underinvestment.
Balance Jensen (1986) empire-building discipline against Myers debt overhang!
Michael Jensen (1986) defined Free Cash Flow (FCF) as internal operating cash flow in excess of that required to fund all positive-NPV projects! When a mature cash-cow firm generates Internal_Cash_Flow CF = 500 ($M, B2) with Positive-NPV_Core_Capex_Opportunity I_good = 200 (B3) earning Perpetual_ROIC_good = 0.18 (18.0%, B4) over WACC = 0.10 (10.0%, B5 -> Core Value Created = 200 * (0.18 - 0.10) / 0.10 = +160.00 $M), $300M of unencumbered FCF sits in managerial hands! If entrenched managers divert Empire_Diversion_Share phi = 0.60 (60%, B6) of unencumbered cash into Negative-NPV_Pet_Acquisitions earning ROIC_pet = 0.04 (4.0% < 10.0%, B7), an all-equity firm (Mandatory_Debt_Service D = 0) wastes I_pet = 0.60 * 300 = 180 $M, destroying 180 * (0.04 - 0.10) / 0.10 = -108.00 $M and slashing Net Shareholder Value Added to +52.00 $M!
Now test Jensen’s Control Hypothesis by setting Mandatory_Debt_Service D = 250 ($M, B8) via a leveraged recapitalization: Senior debt service absorbs 250 of excess cash BEFORE managers can spend it on pet projects (Unencumbered FCF = MAX(0, 500 - 250 - 200) = 50), shrinking I_pet to 30, cutting agency destruction from -108.00 to -18.00, and lifting Net Value Added from +52.00 to +142.00 $M (+90.00 $M Debt-Discipline Gain)! Push D too far (D = 350 > CF - I_good = 300): debt crowds out 50 of Core Capex (I_good_funded = MIN(I_good, MAX(0, CF - D)) = 150), cutting Core NPV to +120.00 $M ("Excess Leverage Crowds Core Capex")!
| Capital Structure Regime (CF=500, I_good=200, ROIC_g=18%, ROIC_p=4%, WACC=10%) | Debt Service D | Net Value Added ($M) |
|---|---|---|
| Unlevered Cash Cow (Full Agency Waste) | D = 0 | +52.00 (Core +160 - Pet 108) |
| Leveraged Recap (Partial Discipline) | D = 250 | +142.00 (Core +160 - Pet 18) |
| Optimal FCF Sweep (D* = CF - I_good) | D = 300 | +160.00 (Zero Waste, Full Core) |
| Over-Leveraged Squeeze (Crowds Core) | D = 350 | +120.00 (Core Cut to 150) |
Jensen (1986) Net Firm Value Added Under Debt Service Formula
Prioritize mandatory debt service D first out of CF, fund Core Positive-NPV Capex up to I_good = MIN(B3, MAX(0, B2 - B8)), and divert phi * MAX(0, B2 - B8 - I_good_funded) into pet projects!
=LET(cf_in, B2, ig_mx, B3, rg_rt, B4, wc_rt, B5, ph_dv, B6, rp_rt, B7, db_sv, B8, IF(OR(cf_in < 0, ig_mx < 0, wc_rt <= 0, rg_rt <= wc_rt, rp_rt >= wc_rt, ph_dv < 0, ph_dv > 1, db_sv < 0), "Invalid FCF Agency Input", LET(ig_fd, MIN(ig_mx, MAX(0, cf_in - db_sv)), fc_ex, MAX(0, cf_in - db_sv - ig_fd), ip_fd, ph_dv * fc_ex, ROUND(ig_fd * (rg_rt - wc_rt) / wc_rt + ip_fd * (rp_rt - wc_rt) / wc_rt, 2))))Agency Pet-Project Destruction & Leverage Regime Formula
Compare D = 0, D = 250, and D = 350 to locate exact optimal debt service D* = CF - I_good = 300!
=LET(cf_in, B2, ig_mx, B3, wc_rt, B5, ph_dv, B6, rp_rt, B7, db_sv, B8, IF(ISTEXT(E3), E3, LET(ig_fd, MIN(ig_mx, MAX(0, cf_in - db_sv)), fc_ex, MAX(0, cf_in - db_sv - ig_fd), ROUND(ph_dv * fc_ex * (rp_rt - wc_rt) / wc_rt, 2))))Try the example
Use the original values or change them to test your understanding.