Case 8 / 183 Entry

3-Statement Change: Take Out a $100 Loan

Accounting & Financial Statements

The prompt

“Walk me through what happens across the income statement, cash flow statement, and balance sheet if a company takes out a $100 loan, first at the moment the loan is issued and then over the following year as it accrues interest, with everything else held constant.”

📋 What you're given

Walk me through what happens across the income statement, cash flow statement, and balance sheet if a company takes out a $100 loan, first at the moment the loan is issued and then over the following year as it accrues interest, with everything else held constant.

1. Task Overview

Task: trace the immediate balance sheet impact of taking out a $100 loan, then the Year 1 income statement, cash flow statement, and balance sheet effects once the loan starts accruing interest.

Step 1: Given Data — Starting Position and Loan Terms

Before modeling the loan, here is the company's starting position and the terms of the new borrowing.

Line ItemValue
Starting Cash$1,000
Starting Debt$500
New Loan Amount$100
Interest Rate on New Loan5% (0.05)
Tax Rate25% (0.25)

Step 2: Day 0 — Immediate Effect of Taking Out the Loan

On the day the loan is issued, the company receives cash and records a matching liability — nothing flows through the income statement yet.

Show Day 0 Balance Sheet Effect Formula

ΔCash = +Loan Amount; ΔDebt = +Loan Amount; ΔNet Income = $0

Using this formula, compute the new Cash and Debt balances immediately after the loan is issued.

Step 3: Year 1 — Interest Expense on the New Loan

Over the following year, the loan accrues interest, which is the first item that actually reaches the income statement.

Show Interest Expense Formula

Interest Expense = Loan Amount × Interest Rate

Using this formula, compute the Year 1 interest expense on the loan.

Step 4: Year 1 — Net Income, Cash Flow, and Balance Sheet Effects

Show After-Tax Interest Impact Formula

ΔNet Income = -Interest Expense × (1 - Tax Rate)

Assume:

  • Interest is paid in cash during the year (not accrued or capitalized)
  • No principal is repaid during Year 1 — the loan is interest-only
  • The tax benefit from the interest deduction is realized in the same period

Using these inputs, compute the after-tax impact on Net Income, Retained Earnings, Cash Flow from Operations, and the ending Cash balance.

💡 Model answer

Try answering out loud first — then reveal the model answer and compare.

⚠️ Common mistakes

  • Recording an income statement impact on Day 0 — receiving loan proceeds is a balance sheet event only; interest hasn't accrued yet.
  • Forgetting the tax shield and using the full pre-tax interest expense as the cash flow and Retained Earnings impact instead of the after-tax figure.
  • Double-counting the loan proceeds by adding $100 to both Cash Flow from Financing and Cash Flow from Operations.
  • Assuming the loan amortizes (reduces Debt) in Year 1 when the case specifies an interest-only loan.
  • Confusing the interest rate with the tax rate when computing the after-tax Net Income impact.

🔁 Follow-up questions

Previous Case 7: 3-Statement Change: Buy $100 of Inventory for Cash

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