There was no official "Principles Of Corporate Finance 14th Edition Solutions" PDF that ever explained things that way.
Problem 17.6a: VL = VU + Tc*D Wait — did you forget that debt is perpetual here? If interest is tax-deductible at 21%, the tax shield is 0.21 * $10M debt = $2.1M. So VL = $50M + $2.1M = $52.1M. (Book answer says 52.1 — good. But only if no growth. See p. 462.) She blinked. The voice in the note was patient, almost like a tutor sitting next to her. It didn't just give the answer—it caught the mistake she would have made .
Priya starred the repo. Then she opened a new markdown file and started writing her own annotations for Chapter 18—"How Much Should a Firm Borrow?" Principles Of Corporate Finance 14th Edition Solutions
A plain, gray GitHub repository. No stars, no forks, just a single file: brealey_myers_allen_solutions_ch17_20.md . The owner's name was fin_hermit_99 . Last commit: three years ago.
The first three links were dead ends. A Chegg paywall. A Quizlet set with obviously wrong answers (someone had confused WACC with IRR). A sketchy PDF download that wanted her credit card and probably her firstborn child. There was no official "Principles Of Corporate Finance
It was 2:47 AM, and the only light in Priya’s dorm room came from the pale blue glow of her laptop. The spreadsheet on her screen had stopped making sense two hours ago. Chapter 17 of Principles of Corporate Finance, 14th Edition —"Does Debt Policy Matter?"—lay open, its Modigliani-Miller theorem propositions staring back at her like a smug mathematical riddle.
She scrolled down.
She had tried. She really had. But the difference between Proposition I (with taxes) and Proposition II (the cost of equity) had dissolved into a blur of algebraic spaghetti. Her problem set was due in six hours. The "Solutions" section in the back of the book only gave final answers, not the path to get there.
At 8:30 AM, she handed in the assignment. Her professor raised an eyebrow at her derivation in 17.9. "You caught the personal tax effect," he said. "Most PhD students miss that." So VL = $50M + $2