Fixed Income

Fixed Income

UBS 的核心投资建议
“Be most suspicious when a bond looks excessively attractive.”
  • 高收益 ≠ 免费午餐
  • Yield 太好 → 一定有原因
  • 风险往往被:
    • 流动性
    • 结构条款
    • 信用恶化
    • 隐含期权
      • 低估了
 
 
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Who Invests in Bonds

Institutional Investors (dominate the market in terms of volume and influence)

  • Central Banks / Governments
    • – Conduct monetary policy (e.g., quantitative easing via sovereign bond purchases)
      – Manage foreign exchange reserves (e.g., holding U.S. Treasuries)
      – Stabilize financial markets during crises
  • Asset Management Firms
    • – Allocate bonds in mutual funds, ETFs, and separately managed accounts
      – Provide diversified fixed-income exposure to retail and institutional clients
      – Adjust duration and credit risk based on market outlook
  • Insurance Companies
    • – Match long-term liabilities (e.g., life insurance payouts) with stable bond cash flows
      – Comply with regulatory requirements for high-quality liquid assets
      – Favor investment-grade and government bonds
  • Pension Funds
    • – Use liability-driven investing (LDI) to ensure future retirement payouts
      – Prioritize capital preservation and predictable income
      – Typically hold long-duration, high-credit-quality bonds
  • Hedge Funds
    • – Trade bonds for relative value, arbitrage, or directional bets (often with leverage)
      – May invest in high-yield, distressed, or emerging market debt
      – Frequently use derivatives and short-selling strategies
  • Corporates / Family Offices
    • – Corporates invest excess cash in short-term, low-risk instruments (e.g., T-bills, commercial paper)
      – Family offices allocate to bonds for wealth preservation, income, and portfolio diversification
      – May access private placements or structured credit products

Retail Investors (smaller scale, often indirect participation)

  • Individual Investors
    • – Seek income, capital preservation, and portfolio diversification (e.g., “60/40” stock/bond mix)
      – Often invest via bond ETFs, mutual funds, or government savings bonds
      – Common among retirees or conservative investors
  • Private Banks / Brokers
    • – Construct customized bond portfolios for high-net-worth clients
      – Offer access to municipal bonds (for tax advantages), corporates, or international debt
      – Provide execution, research, and advisory services on fixed-income securities
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Types of Bonds

Government Bonds: Issued by national governments (e.g., U.S. Treasury bonds).
  • 政府发行的 Debt Security
  • 本质:
    • 投资者 lends money 给政府
      政府承诺未来 pay coupons + repay principal
为什么政府要发债?
  • Government Expenditures(政府支出)
  • 如果:
    • Taxes < Expenditures → Budget Deficit
    • 多年赤字累积 → Public Debt
  • 政府通过发行债券为赤字融资
Why Are Government Bonds Considered Safe?(为什么被认为“安全”)

核心原因

  • Low Default Probability(违约概率低)
  • 政府通常:
    • 有征税权
    • 有货币主权(本币债)
  • 因此:
    • 政府债通常被视为 low-risk asset
Main Benefits of Government Bonds(政府债的主要优点)

1️⃣ Predictable Cash Flows(现金流可预测)

  • 投资时即已确定:
    • Coupon payments(利息)
    • Principal repayment(本金)
    • Maturity(到期日)

2️⃣ Capital Protection at Maturity(到期还本)

  • 到期时:
    • 投资者 receives principal back
  • Equities(股票) 对比:
    • 股票可能 lose all value
    • 政府债通常不会

3️⃣ Low Risk, Low Return(低风险,低回报)

  • 风险顺序(从低到高):
      1. Cash
      1. Government Bonds
      1. Corporate Bonds
      1. Equities
Finance principle:
There Ain’t No Such Thing As A Free Lunch (TANSTAAFL)
回报越高 → 风险越高
Government Bonds (Risks)
尽管政府债通常被视为 low-risk assets,但它们并非 risk-free
政府债主要存在 5 类核心风险
Risk Type
核心含义
对债券价格的影响
Economic
财政违约
价格大幅下跌
Political
主权拒付
价格暴跌
Interest Rate
利率变动
Duration 决定幅度
Inflation
购买力下降
实际回报下降
Currency
汇率变动
外币投资回报不确定
Economic Risk

定义

Economic Risk
  • 政府 unable to repay its debt
  • 本质:Default risk

直观理解

  • 政府财政困难
  • 税收不足以覆盖支出
  • 无法持续为债务融资

历史案例

  • Greece(多次违约,包括近代)
  • Argentina(反复主权违约)
  • 多个 Latin American countries

关键逻辑

  • 当政府财政恶化:
    • 投资者要求 higher yield
    • 新债利率上升
    • 旧债价格下降
违约概率低,但不为零
Political Risk

定义

Political Risk
  • 政府 able but unwilling to repay
  • 属于 deliberate default

与 Economic Risk 的区别

类型
是否有能力
是否愿意
Economic Risk
Political Risk

典型案例

  • Russia(1917 年革命)
  • Russia 1998 crisis
    • Currency devaluation
    • Sovereign default
Interest Rate Risk

核心结论(必须背)

Interest rates ↑ → Bond prices ↓
Interest rates ↓ → Bond prices ↑

原因回顾

  • 新债利率更高 → 更有吸引力
  • 旧债必须 price down 才能竞争

Duration 的作用

Duration
  • 衡量:
    • Bond price 对利率变化的 sensitivity
  • Duration 越大:
    • 利率变动 → 价格波动越大

公式(定性理解即可)

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数值直觉(非常重要)

  • Duration = 6.55
  • 利率:10% → 12%(+2%)
  • 结果:
    • Bond price ↓ 约 12%
Duration 是管理利率风险的核心指标
Inflation Risk
Inflation Risk
  • Inflation reduces real purchasing power
  • 固定现金流在高通胀下变得“不值钱”

机制解释

  • 你持有:
    • 固定 coupon(例如每年 $100)
  • 若发生 unexpected inflation
    • 新债利率上升
    • 旧债 coupon 的 real value 下降
    • 旧债价格下跌

关键关系

Inflation ↑ → Interest rates ↑ → Bond prices ↓
Currency Risk
Currency Risk
  • 当债券币种 ≠ 投资者本币

举例

  • 投资者:Euro / CHF
  • 投资标的:USD Treasury
  • 若:
    • USD depreciates
  • 则:
    • 即使 coupon 正常支付
    • 换回本币后仍可能 亏损

特点

  • 汇率波动:
    • 可非常剧烈
  • 风险大小:
    • 有时 大于利率风险
Municipal Bonds: Issued by states, municipalities, or other local government entities.
states / municipalities / local governments 发行,用于公共项目融资(如学校、道路、医院)。
核心特点
  • Tax advantage:利息通常 federal tax-exempt(有时州税也免)
  • Risk level:低于公司债,但高于国债
  • Yield:名义收益率较低,但税后收益可能更高
主要风险
  • Credit risk(地方财政恶化)
  • Interest rate risk
  • Liquidity risk(部分市政债交易不活跃)
典型投资者
  • 高税率个人投资者(high-net-worth individuals)
Corporate Bonds: Issued by companies to raise capital.
companies 发行,用于融资、扩张或再融资。
核心特点
  • Higher yield than government bonds
  • 信用风险与公司财务状况强相关
  • 分为:
    • Investment Grade
    • High Yield / Junk Bonds
主要风险
  • Credit / default risk
  • Interest rate risk
  • Credit spread risk(利差扩大)
典型投资者
  • 寻求更高收益的机构或个人投资者
Mortgage-Backed Securities (MBS): Bonds backed by mortgage payments.
mortgage payments(房贷现金流) 作为支持的债券。
核心特点
  • Cash flows 来自大量房贷池
  • 通常由:
    • Government-sponsored entities
    • 或 private issuers 支持
独特风险
  • Prepayment risk(提前还款风险)
  • Extension risk(利率上升时久期变长)
  • Interest rate risk
关键理解
MBS ≠ 普通固定现金流债券
现金流 不确定性更高
Convertible Bonds: Can be converted into a predetermined number of the issuing company's shares.
债券可在特定条件下 转换为发行公司的股票
核心特点
  • 兼具:
    • Bond-like downside protection
    • Equity-like upside potential
  • 通常:
    • Coupon 较低
    • Embedded equity option
主要风险
  • Equity price risk(股价下跌)
  • Credit risk
  • Valuation complexity(期权定价)
典型用途
  • 成长型公司融资

    Bond Characteristics

    1.Coupon(票息)
    • 每期固定支付的利息
    • 通常每年或每半年支付
    2.Principal / Face Value(本金 / 面值)
    • 债券到期时政府返还的金额
    • 又称 Par Value
    3.Maturity(到期)
    • 债券存在的期限
    • 例:5-year bond = 5年后还本
    4.Yield:
    The return an investor will earn on the bond. It can be expressed in various forms such as current yield, yield to maturity (YTM), and yield to call (YTC).
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    Bond Price ↑ → Yield ↓
    Bond Price ↓ → Yield ↑

    用直觉解释:

    • 你持有一只 2% yield 的老债
    • 市场新发债券 3% yield
    • 投资者更愿买新债
    • 为了卖出旧债:
      • 你必须 lower the price
      • 使其 effective yield = 3%
    5.Maturity vs Duration
    Maturity(到期)
    • 法律意义上的“终点”
    • 本金返还时间点
    Duration(久期
    所有现金流(coupons + principal)的加权平均时间
    • 衡量 利率敏感度
    • 越长 → 对利率变化越敏感
    关键结论
    Duration 通常 小于 maturity
    不是 maturity 的一半

    Bond Pricing

    1. Present Value: Bond prices are determined by the present value of future cash flows (coupon payments and principal repayment), discounted at the required rate of return.
    1. Discount and Premium: Bonds can be sold at a discount (below par value) or at a premium (above par value) depending on interest rates and the bond’s coupon rate.
    As bond yields increase, prices will fall.
    As bond yields decrease, prices will rise.
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    Credit Risk

    1. Credit Ratings: Agencies like Moody’s, S&P, and Fitch provide ratings that assess the creditworthiness of the bond issuer. Ratings range from high-grade (low risk) to junk (high risk).
    1. Credit Spread: The difference in yield between a corporate bond and a comparable maturity government bond, reflecting the additional credit risk of the corporate bond.
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    Credit spreads may widen due to:
    •deteriorating financials
    •negative news
    •excess supply in secondary markets
    •new issuance coming out
    Credit spreads may tighten due to:
    •positive news on credit fundamentals
    •excess demand for certain issues


    Credit spreads move independently of each other.

    Yield Measures

    1. Current Yield: Annual coupon payment divided by the current bond price.
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    1. Yield to Maturity (YTM): The total return expected if the bond is held until maturity, accounting for all coupon payments and the difference between the purchase price and par value.
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    1. Yield to Call (YTC): Similar to YTM, but assumes the bond will be called (repurchased by the issuer) at the earliest call date.
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    Bond Market Concepts

    1. Liquidity: The ease with which a bond can be bought or sold in the market without affecting its price.
    1. Inflation Risk: The risk that inflation will erode the purchasing power of future cash flows from the bond.
    1. Reinvestment Risk: The risk that future coupon payments will be reinvested at a lower interest rate than the original bond.
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    Bond Valuation Models

    1. Discounted Cash Flow (DCF): Used to value bonds by discounting future cash flows (coupon payments and principal repayment) at the required rate of return.
    1. Binomial Model: A discrete-time model used to value options and interest rate-sensitive instruments, including bonds with embedded options.

    Derivatives on Bonds

    1. Bond Futures: Contracts to buy or sell a bond at a future date at a predetermined price.
    1. Bond Options: Options to buy or sell a bond at a specified price before a certain date.
    1. Interest Rate Swaps: Contracts to exchange fixed interest payments for floating rate payments, used to hedge interest rate risk.
     

    Interest Rate Risk

    Duration:

    Measures the sensitivity of a bond's price to changes in interest rates. The higher the duration, the more sensitive the bond is to interest rate changes.
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    1.1 麦考利久期(Macaulay Duration)
    Macaulay duration is the weighted average time to all cash flows, measured in years. 
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    1.2 Dollar duration
    The dollar price changes as yield moves.
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    Modified and dollar durations are metrics for how sensitive a bond’s price is to movements in its yield.
    • Longer duration means the price will move significantly.
    • Shorter duration means the price will move much less

    Convexity:

    Measures the curvature of how the price of the bond changes as interest rates change, providing a more accurate measure than duration for large interest rate movements.
    • Prices rise at an increasing rate as yield falls.
    • Prices fall at a decreasing rate as yields increase.
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    Use convexity to adjust the accuracy of the price impact on a bond given changes in yield.
    • Use duration to calculate the price change for a given change in yield.
    • The total change in price is calculated with the following formula:
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    Drivers of Convexity
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    Key Points About Convexity
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