Liabilities, Interest, Present Value & Bond Valuation（负债、利息、现值与债券估值）

1. Sources of Financing（融资来源）

1.1 Debt Financing – Funds from Creditors（债务融资——来自债权人的资金）
- Essence / 本质： Borrowed money that must be repaid with interest. （向外部借入资金，将来必须连本带息偿还。）
- Features / 特点：
  - Legal obligation to pay interest and principal.（利息与本金是法律义务。）
  - Creditors can force bankruptcy if unpaid.（未支付时债权人可以申请破产清算。）
- Advantages / 优点：
  - Interest is tax-deductible.（利息可税前抵扣。）
  - No ownership dilution.（不会稀释现有股东持股。）
- Capital structure / 资本结构：
  - Mix of debt and equity affects risk, return, and control. （债务与权益的组合会影响企业风险、收益与控制权。）
1.2 Equity Financing – Funds from Owners（权益融资——来自所有者的资金）
- Essence / 本质： Owners contribute capital in exchange for ownership (shares). （所有者投入资金换取股权。）
- Features / 特点：
  - Dividends are not legal obligations.（股利不是法律义务，可选择不发。）
  - Residual claim on assets and profits.（股东对剩余资产和利润拥有索取权。）
- Flexibility / 灵活性：
  - No fixed repayment schedule; improves solvency but可导致股权被摊薄。
1.3 Risk Comparison: Debt vs Equity（风险比较：债务 vs 权益）
- Debt is riskier for the company because:
  - Interest is a legal obligation.（利息支付刚性。）
  - Creditors can force bankruptcy.（债权人可通过法律程序强制破产。）
- Equity is riskier for investors (residual claim) but safer for company solvency. （权益对投资者风险更高，但对企业偿债能力更安全。）

2. Liabilities Overview（负债概念与分类）

2.1 Definition of Liabilities（负债的定义）
- Definition / 定义： Probable future sacrifices of economic benefits arising from present obligations from past transactions. （由于过去交易形成的现时义务，预计将导致未来经济利益的流出。）
- Usually paid with assets or services.（通常用现金、其他资产或劳务偿还。）
2.2 Classification: Current vs Noncurrent（分类：流动与非流动负债）
- Current liabilities（流动负债）：
  - Maturity within 1 year or the operating cycle.（一年或营业周期内到期。）
  - Examples: A/P, short-term notes, wages payable, taxes payable, current portion of long-term debt.
- Noncurrent liabilities（非流动负债）：
  - Maturity > 1 year.（一年以上到期。）
  - Examples: long-term notes, bonds payable, long-term leases.
2.3 Measurement at Present Cash Equivalent（按现时现金等价物计量）
- Current cash equivalent / 当前现金等价价值： Amount a creditor would accept today to cancel the debt. （债权人今天愿意接受以了结债务的金额。）
- Essentially the present value of future cash outflows： $P V = \sum_{t = 1}^{n} \frac{C F _{t}}{( 1 + r ) ^{t}}$
2.4 Common Liability Accounts（常见负债账户）
- 2.4.1 Accounts Payable / Trade Accounts Payable（应付账款）
  - Obligations to pay for goods and services used in normal operations. （因购买存货和服务形成的短期应付款项。）
- 2.4.2 Accrued Liabilities（应计负债）
  - Expenses incurred but not yet paid (wages, interest, taxes). （已发生但尚未支付的费用，如工资、利息、税金。）
- 2.4.3 Notes Payable（应付票据）
  - Formal written obligations, often with an explicit interest rate and maturity date. （书面票据形式的负债，通常注明利率和到期日。）
- 2.4.4 Deferred / Unearned Revenues（递延/预收收入）
  - Cash received before revenue is earned; obligation to provide goods/services. （先收款后履约，对客户负有提供商品或服务的义务。）

3. Liquidity Measures（短期偿债能力指标）

3.1 Current Ratio（流动比率）
- Formula / 公式： $Current Ratio = \frac{Current Assets}{Current Liabilities}$
- Interpretation / 含义： Higher ratio → stronger ability to pay short-term obligations. （比率越高，短期偿债能力越强；过高可能说明资产运用效率低。）
3.2 Working Capital（营运资金）
- Formula / 公式： $Working Capital = Current Assets - Current Liabilities$
- Interpretation / 含义： Positive working capital indicates a buffer of liquid resources. （为正说明企业有一定安全垫，可支持日常运营。）
3.3 Accounts Payable Turnover Ratio（应付账款周转率）
- Formula / 公式： $A/P Turnover = \frac{Total Net Credit Purchases}{Average Accounts Payable}$
- Interpretation / 含义：
  - Higher turnover → pay suppliers quickly.（周转率高表示付款速度快。）
  - Can be converted to days payable outstanding: $Days Payable = \frac{365}{A/P Turnover}$

4. Notes Payable & Interest（应付票据与利息）

4.1 Interest Basics（利息基础）
- Formula / 公式： $Interest = Principal \times Interest Rate \times Time$
- Time = 1 for full year; fraction (e.g., (2/12)) for partial year. （一年记为 1，少于一年按月数或天数折成分数。）
4.2 Lender vs Borrower Perspective（债权人与债务人视角）
- To the lender, interest = interest revenue.（对出借方是利息收入。）
- To the borrower, interest = interest expense.（对借款方是利息费用。）
4.3 Example: Starbucks Short-Term Note（短期票据示例）
- Borrow $100,000, 12% annual, 2 months: $Interest = 100, 000 \times 12$
4.4 Long-Term Notes at Present Value（长期票据按现值入账）
- Record note and related asset at PV of future payment using market rate.
- Example：FV $200,000, market rate 12%, (n=2)： $P V = 200, 000 \times P V I F (12$
4.5 Effective Interest Method（实际利率法）
- Each period: $Interest Expense = Beginning Carrying Amount \times Effective Rate$
- For discount notes, carrying amount increases toward face value; for premium notes, it decreases.

5. Contingent Liabilities（或有负债）

5.1 Probability vs Estimability Table（可能性与可计量性矩阵）
- Probable + Estimable（很可能且可估计） → Record liability and expense.（确认负债与费用。）
- Probable / Reasonably possible + Not estimable（难以估计金额） → Disclose in notes.（仅在附注披露。）
- Remote（可能性极低） → No action.（无需确认或披露。）
5.2 Typical Examples（典型例子）
- Lawsuits, guarantees, environmental obligations, warranties. （诉讼、担保、环境治理义务、产品保修等。）

6. Long-Term Liabilities（长期负债）

6.1 Nature & Maturity（性质与到期）
- Obligations with maturity greater than one year / operating cycle. （到期时间超过一年或一个营业周期的债务。）
- Current portion of long-term debt should be reclassified as current liability. （一年内到期部分需单独列示为流动负债。）
6.2 Collateral & Pledges（抵押与质押）
- Creditors may require borrowers to pledge assets as security. （债权人常要求以固定资产或其他资产作抵押。）
- Pledged assets must be disclosed in notes because they reduce flexibility. （被抵押资产通常需在附注中披露，会降低企业财务弹性。）
6.3 Financing Channels: Loans vs Bonds（筹资渠道：贷款 vs 债券）
- Small long-term needs → bank loans, insurance companies, pension funds.
- Large long-term needs → issue bonds to many investors.

7. Present Value Concepts（现值概念）

7.1 Time Value of Money（货币时间价值）
- A dollar today is worth more than a dollar in the future because it can earn interest. （今天的一元因可立即投资生息，价值大于未来的一元。）
7.2 Four Key Variables（四个关键变量）
- Present value (PV)、Future value (FV)、Interest rate (r)、Number of periods (n)。
- Knowing any three allows solving for the fourth.（已知任意三者即可求出剩下一项。）
7.3 Tools for PV Calculations（现值计算工具）
- Present value tables（现值表）
- Financial calculators（金融计算器）
- Excel functions (PV, FV, RATE, NPER 等)

8. Present Value of a Single Amount（单笔金额现值）

8.1 Definition & Timeline（定义与时间轴）
- PV = today’s value of a future single cash flow. （现值是单笔未来现金流折算到今天的价值。）
- Timeline: future value at time (n) discounted back to time 0.
8.2 Core Formulas（核心公式）
- Future value： $F V = P V (1 + r)^{n}$
- Present value： $P V = \frac{F V}{( 1 + r ) ^{n}} = F V \times P V I F (r, n)$
8.3 Example: $1,331 in 3 Years at 10%（例子）
- $P V = \frac{1 , 331}{1. 1 ^{3}} = 1, 000$
- Using PV table factor 0.7513: $1, 331 \times 0.7513 \approx 1, 000$

9. Present Value of an Annuity（年金现值）

9.1 Definition of Annuity（年金定义）
- Series of equal payments at regular intervals (ordinary annuity if at period end). （在固定间隔内支付等额现金流；期末支付为普通年金。）
9.2 PV of Annuity（年金现值公式）
- $P V_{annuity} = Payment \times P V I F A (r, n)$
- Equivalent to discounting each payment and summing: $P V = \sum_{t = 1}^{n} \frac{Payment}{( 1 + r ) ^{t}}$
9.3 Example: $1,000 Each Year for 3 Years at 10%（示例）
- Table factor：(PVIFA(10%,3) = 2.4869)
- $P V = 1, 000 \times 2.4869 = 2, 486.90$

10. Accounting Applications of PV – Long-Term Notes（现值在长期票据中的会计应用）

10.1 Initial Recognition at PV（按现值初始确认）
- Record asset and note payable at PV of future payment using market rate.
- Example：
  - (FV = 200{,}000)、(r = 12%)、(n = 2)： $P V = 200, 000 \times 0.7972 = 159, 440$
  - Entry：Dr Delivery trucks 159,440 / Cr Notes payable 159,440。
10.2 Effective Interest Method（实际利率法）
- Year 1 interest expense： $159, 440 \times 12$
- Entry：Dr Interest expense 19,133 / Cr Notes payable 19,133。
- Year 2 interest expense： $(159, 440 + 19, 133) \times 12$
10.3 Final Settlement（到期偿还）
- When carrying amount reaches face value 200,000：
  - Dr Notes payable 200,000
  - Cr Cash 200,000

11. Future Value Concepts（终值概念）

11.1 FV of Single Amount（单笔金额终值）
- Formula / 公式： $F V = P V (1 + r)^{n}$
- Example：(PV = 1{,}000, r = 10%, n = 3)： $F V = 1, 000 \times 1. 1^{3} = 1, 331$
11.2 FV of an Annuity（年金终值）
- Formula / 公式： $F V_{annuity} = Payment \times F V I F A (r, n)$
- Example：$1,000 each year, 10%, 3 years： $F V = 1, 000 \times 3.31 = 3, 310$

12. Bond Valuation Basics（债券估值基础）

12.1 Bond Cash Flows（债券现金流）
- Periodic interest (coupon) = face value × stated rate.
- Principal (face value) repaid at maturity.
12.2 Pricing by Present Value（用现值定价）
- Bond price = PV of interest annuity + PV of principal $P = C \times P V I F A (r, n) + F \times P V I F (r, n)$
- All discounted at market/effective rate (r)。
12.3 Stated vs Effective Interest Rate（票面利率 vs 实际利率）
- Stated rate → determines cash interest (C = F \times \text{stated rate})。
- Effective (market) rate → determines economic return & price。
12.4 Par, Premium, Discount（平价、溢价、折价）
- Stated = effective → price = face value (par).
- Stated > effective → price > face value (premium).
- Stated < effective → price < face value (discount).

13. Bond Valuation Terminologies（债券估值术语）

13.1 Face Value（面值）
- Principal repaid at maturity date.（到期偿还的本金金额。）
13.2 Bond Premium（债券溢价）
- Issue price − face value when price > face. （发行价高于面值的差额。）
13.3 Bond Discount（债券折价）
- Face value − issue price when price < face. （面值高于发行价的差额。）
13.4 Amortized Cost / Book Value（摊余成本 / 账面价值）
- Carrying amount = PV of remaining cash flows discounted at original effective rate.
- Changes each period via effective interest method;趋近于面值。
13.5 Fair Value vs Carrying Amount（公允价值 vs 账面金额）
- Fair value uses current market rate at day t.
- Carrying amount uses original effective rate at purchase date.

14. Discount Bond Example – Debt Instrument（折价债券示例：债务工具）

14.1 Initial Purchase at Discount（初始折价购买）
- Term 5 years; face value $1, 250; s t a t e d r a t e 4.7$ 1,000。
- Price computed as： $1, 000 = 59 \times P V I F A (10$ where coupon (59 = 1{,}250 \times 4.7%)。
14.2 Carrying Amount After 1 Year（一年后的账面价值）
- Remaining 4 coupons + principal discounted at 10%： $Carrying Amount = 1, 250 \times P V I F (10$
- Carrying amount > purchase price because effective rate > stated rate. （因实际利率高于票面利率，账面价值随着折价摊销逐年上升。）
14.3 Key Insights（关键理解）
- Discount represents extra yield beyond coupon interest. （折价提供了超出票息的额外收益。）
- Over time, carrying amount accretes upward to face value $1,250 at maturity. （随时间推移，账面价值逐渐接近并最终等于面值 1,250。）

Quartz 4

Explorer

Liabilities, Interest, Present Value & Bond Valuation（负债、利息、现值与债券估值）

Liabilities, Interest, Present Value & Bond Valuation（负债、利息、现值与债券估值）

1. Sources of Financing（融资来源）

2. Liabilities Overview（负债概念与分类）

3. Liquidity Measures（短期偿债能力指标）

4. Notes Payable & Interest（应付票据与利息）

5. Contingent Liabilities（或有负债）

6. Long-Term Liabilities（长期负债）

7. Present Value Concepts（现值概念）

8. Present Value of a Single Amount（单笔金额现值）

9. Present Value of an Annuity（年金现值）

10. Accounting Applications of PV – Long-Term Notes（现值在长期票据中的会计应用）

11. Future Value Concepts（终值概念）

12. Bond Valuation Basics（债券估值基础）

13. Bond Valuation Terminologies（债券估值术语）

14. Discount Bond Example – Debt Instrument（折价债券示例：债务工具）

Graph View

Table of Contents

Backlinks