Podcast
Questions and Answers
Given a scenario where a company requires short-term funding to cover raw materials and production costs, which financial instrument would be the MOST appropriate, considering the nuances of the money market?
Given a scenario where a company requires short-term funding to cover raw materials and production costs, which financial instrument would be the MOST appropriate, considering the nuances of the money market?
- Issuance of short-term debt security in the money market. (correct)
- Securing a line of credit from a commercial bank, specifically designed for operational expenses.
- Equity dilution through a secondary offering to raise immediate capital.
- Issuance of long-term corporate bonds with a floating interest rate.
How does the Federal Reserve exert influence over the interbank lending rate, considering that this rate is primarily determined by the supply and demand dynamics of private banks?
How does the Federal Reserve exert influence over the interbank lending rate, considering that this rate is primarily determined by the supply and demand dynamics of private banks?
- Through strategically modulating the level of reserves available in the banking system via open market operations. (correct)
- Via moral suasion, leveraging public statements to encourage specific lending behaviors among banks.
- Through quantitative directives that dictate specific lending quotas to member banks.
- By direct decree, setting a mandated floor and ceiling for interbank lending rates.
Critically analyze the statement: 'Money (currency) is not actually traded in the money markets.' Which of the following provides the most insightful interpretation of this statement?
Critically analyze the statement: 'Money (currency) is not actually traded in the money markets.' Which of the following provides the most insightful interpretation of this statement?
- The statement suggests that money markets facilitate only international currency swaps, not domestic transactions.
- The statement is technically incorrect; currency trading comprises a substantial portion of money market activity.
- The statement refers to the trading of derivative contracts, which indirectly influence currency valuations.
- The statement highlights that money markets primarily deal with short-term debt instruments rather than physical currency. (correct)
In the context of money market instruments, what distinguishes Treasury Bills from other instruments, particularly concerning their method of return and risk profile?
In the context of money market instruments, what distinguishes Treasury Bills from other instruments, particularly concerning their method of return and risk profile?
Given a Treasury bill quoted using a discount rate, articulate the critical nuances that differentiate this discount rate from the actual investment rate.
Given a Treasury bill quoted using a discount rate, articulate the critical nuances that differentiate this discount rate from the actual investment rate.
Evaluate the implications of a firm choosing to borrow in the money markets to address asynchronization of cash flows, particularly focusing on the strategic reasons behind this decision.
Evaluate the implications of a firm choosing to borrow in the money markets to address asynchronization of cash flows, particularly focusing on the strategic reasons behind this decision.
Assess the impact of the increasing cost of bank loans on the commercial paper market in the early 1980s, considering the roles of corporations.
Assess the impact of the increasing cost of bank loans on the commercial paper market in the early 1980s, considering the roles of corporations.
A corporation is evaluating whether to issue commercial paper or certificates of deposit (CDs) to cover its short-term financing needs. Articulate the principal risk-return trade-offs.
A corporation is evaluating whether to issue commercial paper or certificates of deposit (CDs) to cover its short-term financing needs. Articulate the principal risk-return trade-offs.
How do repurchase agreements (repos) function as a form of collateralized short-term borrowing, and are structured to mitigate risk for the lender?
How do repurchase agreements (repos) function as a form of collateralized short-term borrowing, and are structured to mitigate risk for the lender?
How do repurchase agreements (repos) reduce risks?
How do repurchase agreements (repos) reduce risks?
Devise a method where a central bank (CB) can lower the interbank lending rate in the market?
Devise a method where a central bank (CB) can lower the interbank lending rate in the market?
What role do banks with excess reserves play in the interbank market, and how does this affect the overall liquidity within the financial system?
What role do banks with excess reserves play in the interbank market, and how does this affect the overall liquidity within the financial system?
Outline key components the determination of the price of a bond today.
Outline key components the determination of the price of a bond today.
What fundamental risks are inherent in bond ownership, and how are they influenced by prevailing market conditions and the characteristics of the issuer?
What fundamental risks are inherent in bond ownership, and how are they influenced by prevailing market conditions and the characteristics of the issuer?
When determining a fair price for the bond, what are the key inputs?
When determining a fair price for the bond, what are the key inputs?
Consider a bond rated below BBB. What is the typical class that the bond will fall under?
Consider a bond rated below BBB. What is the typical class that the bond will fall under?
The stated annual interest rate on bond is commonly known as what?
The stated annual interest rate on bond is commonly known as what?
Elaborate on the primary distinctions between 'municipal bonds' and 'treasury bonds,' especially concerning their risk profiles, tax implications, and the entities that issue them.
Elaborate on the primary distinctions between 'municipal bonds' and 'treasury bonds,' especially concerning their risk profiles, tax implications, and the entities that issue them.
Given the economic principle that 'the riskier the security, the higher the yield,' how do market participants determine the appropriate yield for a corporate bond compared to a treasury bond?
Given the economic principle that 'the riskier the security, the higher the yield,' how do market participants determine the appropriate yield for a corporate bond compared to a treasury bond?
Explain how the yield to maturity (YTM) of a bond is related.
Explain how the yield to maturity (YTM) of a bond is related.
Discuss the implications of a callable bond for both the issuer and the investor, considering the interest rate environment and the potential for reinvestment.
Discuss the implications of a callable bond for both the issuer and the investor, considering the interest rate environment and the potential for reinvestment.
In the context of bond markets, what factors contribute the MOST to the price of the bond?
In the context of bond markets, what factors contribute the MOST to the price of the bond?
Define at par, below par and above par.
Define at par, below par and above par.
Given fluctuating interest and yield rate across a variety of reasons.
Given fluctuating interest and yield rate across a variety of reasons.
Considering interest rates and inflation rates, what are the implications of various types of bonds?
Considering interest rates and inflation rates, what are the implications of various types of bonds?
What is the difference between bond versus treasury notes.
What is the difference between bond versus treasury notes.
Given what is known about the risk of default, what is the meaning of investment grade for a bond?
Given what is known about the risk of default, what is the meaning of investment grade for a bond?
Given a fixed rate bond, what are the coupon characteristics within that specific category?
Given a fixed rate bond, what are the coupon characteristics within that specific category?
What is the implication of risk when deciding bonds versus zero rate.
What is the implication of risk when deciding bonds versus zero rate.
When determining a fair price for a bond, what are the key steps in determining the total discount rate?
When determining a fair price for a bond, what are the key steps in determining the total discount rate?
How is the price of a 'zero coupon bond' calculated, what is expected of the YTM?
How is the price of a 'zero coupon bond' calculated, what is expected of the YTM?
Define how governments typically are involved with bond agencies.
Define how governments typically are involved with bond agencies.
What is a bond that is not repaid.
What is a bond that is not repaid.
What role does bond ratings play in finance?
What role does bond ratings play in finance?
What is the role of a discount rate in bond price?
What is the role of a discount rate in bond price?
What key factors contributes in the determination to measure a money market risk level.
What key factors contributes in the determination to measure a money market risk level.
What is the distinction amount Treasury Bills with other money martket accounts? (risk or returns)
What is the distinction amount Treasury Bills with other money martket accounts? (risk or returns)
When the interbank bond rates decrease, what is a great strategic move for the issuer? Give an example.
When the interbank bond rates decrease, what is a great strategic move for the issuer? Give an example.
What is the correct formula? Where: P = Value, C = Coupons, i = Interest Rate, and F = Future Value
What is the correct formula? Where: P = Value, C = Coupons, i = Interest Rate, and F = Future Value
If a debt security day-count convention is 30 * 12, then what are the implications.
If a debt security day-count convention is 30 * 12, then what are the implications.
Considering a scenario where an investor seeks to capitalize on short-term interest rate fluctuations while maintaining the flexibility to re-evaluate their investment strategy frequently, which money market instrument would be MOST suitable, factoring in liquidity, risk, and regulatory considerations?
Considering a scenario where an investor seeks to capitalize on short-term interest rate fluctuations while maintaining the flexibility to re-evaluate their investment strategy frequently, which money market instrument would be MOST suitable, factoring in liquidity, risk, and regulatory considerations?
In a theoretical economic landscape characterized by pervasive negative interest rates set by central banks, how would corporations MOST likely recalibrate their short-term financing strategies in the money markets, assuming perfect rationality and awareness of regulatory constraints?
In a theoretical economic landscape characterized by pervasive negative interest rates set by central banks, how would corporations MOST likely recalibrate their short-term financing strategies in the money markets, assuming perfect rationality and awareness of regulatory constraints?
In the context of repurchase agreements (repos), which of the following scenarios would represent the GREATEST systemic risk, given the interconnectedness of financial institutions and the potential for cascading failures?
In the context of repurchase agreements (repos), which of the following scenarios would represent the GREATEST systemic risk, given the interconnectedness of financial institutions and the potential for cascading failures?
Assuming a central bank (CB) aims to implement a contractionary monetary policy, what specific action would it undertake in the interbank market to achieve a targeted INCREASE in the interbank lending rate, considering the multifaceted transmission mechanisms?
Assuming a central bank (CB) aims to implement a contractionary monetary policy, what specific action would it undertake in the interbank market to achieve a targeted INCREASE in the interbank lending rate, considering the multifaceted transmission mechanisms?
In an environment where the yield curve is inverted, and short-term interest rates exceed long-term rates, what arbitrage strategy could a sophisticated investor MOST effectively employ using money market and bond market instruments, considering associated risks and transaction costs?
In an environment where the yield curve is inverted, and short-term interest rates exceed long-term rates, what arbitrage strategy could a sophisticated investor MOST effectively employ using money market and bond market instruments, considering associated risks and transaction costs?
Given a scenario where a corporation anticipates a significant decrease in its effective tax rate in the upcoming fiscal year, how would this EXPECTED change MOST likely influence its decision on whether to issue municipal bonds versus taxable corporate bonds to finance a major infrastructure project?
Given a scenario where a corporation anticipates a significant decrease in its effective tax rate in the upcoming fiscal year, how would this EXPECTED change MOST likely influence its decision on whether to issue municipal bonds versus taxable corporate bonds to finance a major infrastructure project?
Assuming an investor holds a callable bond and anticipates a significant downward shift in the prevailing interest rate environment, what hedging strategy could they employ using interest rate derivatives to mitigate the risk of the bond being called, thereby protecting their anticipated future income stream?
Assuming an investor holds a callable bond and anticipates a significant downward shift in the prevailing interest rate environment, what hedging strategy could they employ using interest rate derivatives to mitigate the risk of the bond being called, thereby protecting their anticipated future income stream?
In a scenario where a bond is trading significantly below par value despite possessing a high credit rating from multiple agencies, what specific market inefficiency or anomaly could explain this discrepancy, assuming all public information is already incorporated into the bond's price?
In a scenario where a bond is trading significantly below par value despite possessing a high credit rating from multiple agencies, what specific market inefficiency or anomaly could explain this discrepancy, assuming all public information is already incorporated into the bond's price?
How does the presence of a sinking fund provision in a bond indenture MOST directly influence the bond's risk profile from an investor's standpoint, presuming that the issuer faces periodic financial strain?
How does the presence of a sinking fund provision in a bond indenture MOST directly influence the bond's risk profile from an investor's standpoint, presuming that the issuer faces periodic financial strain?
Given two bonds with identical coupon rates, maturities, and credit ratings, issued by entities operating in completely uncorrelated sectors, which factor would account for a PERSISTENT spread in their yields to maturity (YTMs)?
Given two bonds with identical coupon rates, maturities, and credit ratings, issued by entities operating in completely uncorrelated sectors, which factor would account for a PERSISTENT spread in their yields to maturity (YTMs)?
A treasury bill is priced using these variables, which best describes the interations?
A treasury bill is priced using these variables, which best describes the interations?
Given what is known about money markets and treasury bills, which formula calculation is correct?
Given what is known about money markets and treasury bills, which formula calculation is correct?
Given that the effective federal funds rate (EFFR) is influenced by the supply and demand dynamics in the market for reserves and the implication of a central bank, which scenario to decrease the EFFR is most accurate?
Given that the effective federal funds rate (EFFR) is influenced by the supply and demand dynamics in the market for reserves and the implication of a central bank, which scenario to decrease the EFFR is most accurate?
Given the potential implications of a firm deciding to secure short-term finances through money markets to manage asynchronization of cash flows, and an average 65 days from production til payment, what would be the optimal move?
Given the potential implications of a firm deciding to secure short-term finances through money markets to manage asynchronization of cash flows, and an average 65 days from production til payment, what would be the optimal move?
What are the major components when determining the price of a bond?
What are the major components when determining the price of a bond?
The yield to maturity calculation is made up of many components, which component will best measure the return over the life of the bond?
The yield to maturity calculation is made up of many components, which component will best measure the return over the life of the bond?
Which of the following actions could a central bank (CB) undertake to effectively lower the interbank lending rate, considering the operational complexities and potential market responses?
Which of the following actions could a central bank (CB) undertake to effectively lower the interbank lending rate, considering the operational complexities and potential market responses?
When determining a fair price for a bond, which represents the MOST accurate approach?
When determining a fair price for a bond, which represents the MOST accurate approach?
Given that there are riskier rated bonds that can be rated below BBB, where does is what the expected class?
Given that there are riskier rated bonds that can be rated below BBB, where does is what the expected class?
Given that the bond can be municipal bonds versus treasury bonds, what is the primary consideration when deciding?
Given that the bond can be municipal bonds versus treasury bonds, what is the primary consideration when deciding?
Given that the markets must determine the appropriate yield between corporate and treasury bonds. How do market participant do so?
Given that the markets must determine the appropriate yield between corporate and treasury bonds. How do market participant do so?
Why does this bond get the name zero coupon? Or also known as rate free.
Why does this bond get the name zero coupon? Or also known as rate free.
Why is a bond rating utilized in the market?
Why is a bond rating utilized in the market?
How do companies handle asynchronization of payments?
How do companies handle asynchronization of payments?
What is the maturity period when a bond is considered a treasury bill.
What is the maturity period when a bond is considered a treasury bill.
Governments such as the United States, United Kingdom, Germany, France, and Japan, sell treasurey notes/bonds. What else do they consist if?
Governments such as the United States, United Kingdom, Germany, France, and Japan, sell treasurey notes/bonds. What else do they consist if?
True or false: If a firm sels securites to buy back at an agreed price it is Repurchase Agreements?
True or false: If a firm sels securites to buy back at an agreed price it is Repurchase Agreements?
According to the lesson, bonds and stocks share many traits. Name the most obvious one.
According to the lesson, bonds and stocks share many traits. Name the most obvious one.
Why is default a problem? Specifically referring ot bonds.
Why is default a problem? Specifically referring ot bonds.
Flashcards
Money Market
Money Market
Market for short-term debt instruments (less than one year).
Treasury Bills
Treasury Bills
Debt security issued by the US Treasury to cover budget deficits, sold at a discount.
Money Market Security
Money Market Security
Large denomination, low-risk, mature in one year or less, usually mature in less than 120 days.
Investor/Lender role in Money Market
Investor/Lender role in Money Market
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Borrower role in Money Market
Borrower role in Money Market
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Commercial Paper
Commercial Paper
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Certificate of Deposit (CD)
Certificate of Deposit (CD)
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Repurchase Agreement (Repo)
Repurchase Agreement (Repo)
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Interbank Market
Interbank Market
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Coupon Interest Rate
Coupon Interest Rate
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Face Amount
Face Amount
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Maturity
Maturity
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Par Value
Par Value
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Yield to Maturity
Yield to Maturity
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Par value
Par value
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Bond
Bond
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Governments that Issue Bonds
Governments that Issue Bonds
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Entities That Buy Bonds
Entities That Buy Bonds
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Coupon Bonds
Coupon Bonds
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When Bond Matures
When Bond Matures
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Perpetual Bond
Perpetual Bond
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Variable rate (FRNs)
Variable rate (FRNs)
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Mortgage Bond
Mortgage Bond
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Callable Bond
Callable Bond
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Puttable Bond
Puttable Bond
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Convertible Bond
Convertible Bond
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Structured Bonds
Structured Bonds
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Zero Coupon Bond
Zero Coupon Bond
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Eurobond
Eurobond
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Green Bonds
Green Bonds
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Junk Bonds
Junk Bonds
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Price of a Bond Today
Price of a Bond Today
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Bond Ratings
Bond Ratings
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Bond Prices Fluctuate
Bond Prices Fluctuate
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Credit Default Risk
Credit Default Risk
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Study Notes
Debt Markets
- Situations needing financial solutions can involve short-term or long-term funding.
- Short-term needs are often met through the money market via short-term debt securities.
- Long-term needs, like building a factory for $200 million, can be addressed by selling bonds in the bond market.
- Both approaches increase the company's debt, but serve different purposes.
Adapting to European Markets
- Convert dollar ($) references to euro (€) when considering European markets.
- Replace the Federal Reserve with the European Central Bank (ECB).
- Replace the US Treasury Department with National Treasuries.
Course Content: Debt Market
- Session 2 focuses on the debt market.
- Includes money markets (Part 2.1).
- Includes bond markets (Part 2.2).
Apple's Balance Sheet Example
- Apple had $74 billion in cash and short-term securities in 2017.
- Almost $8 billion of this was in cash deposits.
- $12.3 billion was in "cash equivalents".
- Cash includes things like cash in transit, cash in banks and petty cash.
- Cash equivalents include deposits with financial service companies (not commercial banks), short-term papers and CDs (with maturity in less than 3 months), as well as money market funds.
Money Markets Overview
- The term "money market" can be misleading
- Money (currency) isn't traded there.
- Securities in the money market are short term, highly liquid, with very low credit risk.
- Money market securities are sold in large denominations, such as $1,000,000.
- They mature in a year or less with most maturing in less than 120 days.
Money Market Function
- Investors/lenders utilize money market securities for short-term warehousing of excess funds to earn a return.
- Borrowers use them for a low-cost, temporary fundraising solution.
- Money markets help managing cash flow timing issues for institutions.
- A non-financial institution has to pay the inputs, employees, and stockage of inputs before its products are sold.
- This creates a cash shortage that can be counteracted by borrowing from the money markets.
Money Market Participants
- U.S. Treasury sells securities to fund national debt.
- Federal Reserve buys and sells securities to control interest rates.
- Commercial banks buy Treasury securities, sell CDs, make short-term loans, and offer money market accounts.
- Businesses buy/sell short-term securities for cash management.
- Investment companies trade for commercial accounts.
- Finance companies lend to individuals.
- Insurance companies maintain liquidity for unexpected demands.
- Pension funds maintain funds for investment in stocks and bonds.
- Individuals buy money market mutual funds.
- Money market mutual funds let small investors participate in high-value money market securities.
- Most participants use these to obtain cash.
- The Federal Reserve is an exception of this because they sell or buy T-bills for monetary policy.
Money Market Instruments
- Treasury Bills
- Commercial Papers
- Certificates of Deposit
- Repurchase Agreements
- Interbank market
Treasury Bills
- T-bills are debt securities issued by the U.S. Treasury to cover shortfalls and are sold at a discount to par.
- Paying $990 might get you a $1,000 bill that pays $1,000 at maturity.
- The implicit interest is the difference between purchase price and face value.
- In France, a Treasury Bill is called "Bon du Trésor à taux fixe et à intérêt précompté", or BTF.
- T-bills have are issued for terms of 4, 13, 26, and 52 weeks and auctioned every Thursday.
- Secondary market is very liquid.
- It's virtually default-risk-free.
- Treasury bills are priced using a discount rate.
- The formula for the price P is: P = F(1 - (i_discount * n / 360)).
- F is the bill's par value.
- i_discount is the discount rate.
- n is the number of days until maturity.
- The discount rate is calculated by: i_discount = (F - P) / F * 360 / n.
- A 360-day year convention (30 x 12) is used.
- Debt securities have specific interest rate and day-count conventions.
- A simple example is, if you invest 99 to receive 100 in one year, 𝑃 = 99, 𝐹 = 100, 𝑖𝑑𝑖𝑠𝑐𝑜𝑢𝑛𝑡 = 1%.
- The return equation is, 𝐹 = 𝑃 × (1 + 𝑟𝑒𝑡𝑢𝑟𝑛 × 𝑑𝑢𝑟𝑎𝑡𝑖𝑜𝑛).
- Thus for the example above; return = 1.01%.
- The investment rate is, 𝑖𝑖𝑛𝑣𝑒𝑠𝑡𝑚𝑒𝑛𝑡 = (𝐹 − 𝑃) / 𝑃 × 365 / 𝑛.
- Investment rates use price in the denominator, and use the day count is 366 in leap years.
- If you pay $996.37 for a 28-day T-bill worth $1,000, discount rate is 4.67%, and investment rate is 4.75%.
Commercial Paper and Certificates of Deposit
- Commercial paper is a note issued by creditworthy corporations, with maturities up to 270 days.
- Utilisation of commercial paper rose in the early 1980s due to rising bank loan costs.
- Commercial paper volume fell during the 2008 recession, but the annual market is still over $0.85 trillion.
- The prime rate is the interest rate that commercial banks charge creditworthy customers.
- A Certificate of Deposit (CD) is issued by financial institutions.
- CDs have longer duration, but never exceed 3 years.
- CDs are lower risk than commercial paper, which leads to a lower rate of return than commercial paper.
Repurchase Agreements (Repos)
- Repos are a form of collateralized short-term borrowing
- A firm sells securities and agrees to buy them back at a later date for a certain price.
- In an overnight repo, a party borrows cash and posts collateral (like government securities).
- In a no-default situation, the borrower repurchases the securities and the lender returns the collateral the next day.
- If default occurs, the lender can sell the securities, this reduced risk results in lower rates.
- The borrower receives less than the market value of the securities.
- The difference between borrowed amount and collateral value is the "haircut.”
- Can be done by banks and non-banks, usually large dealers, for liquidity gaps of a very short period.
Interbank Market
- Concerns Loaned or borrowed short-term funds between financial institutions, typically for one day at a time.
- It assists banks in meeting short-term requirements.
- Central Banks set reserve requirements that banks must maintain.
- Those with excess reserves lend to banks needing reserves, these are generally overnight loans.
- In France this is called the “marché interbancaire", but in the USA it is called "Fed Funds".
- Fed Funds are funds held at banks' account with the Federal Reserve bank
- The rate of interest on these transactions is a benchmark interest rate called the interbank rate.
- Interbank rates follow the forces of supply and demand.
- The Central Bank indirectly influencing the rate, this is done by purchases of securities, from banks.
- Proceeds are deposited, increase supply of reserves, which then pushes interbank rate down.
Bond Fundamentals
- Key characteristics are coupon and maturity.
- There many types of bonds; however, most are long-term (> 1 year) debt securities.
- Issuers use them to issue funds for long-term financing or investments.
- Investors, in buying this portion of debt, receive regular interest payments (coupons).
- When the bond matures, the issuer pays back its borrowed amount, known as nominal/principal/face value.
Who Issues Bonds?
- Governments such as, US Treasury notes and bonds, UK Gilts, German Bunds, France OATs and Japan JGBs.
- Domestic and Eurobond coorporations.
- Investment grade vs junk sector.
- Government agencies issue Municipal bonds and local authorities bonds.
Who Buys Bonds?
- Pension funds
- Life insurance companies
- Hedge funds
- Households (mostly through funds)
- Governments (Japan and China are the most relevant investors in US government bonds)
Coupon Bonds
- A typical coupon bond's features are annual or semi-annual interest payments.
- At maturity the issuer pays the par value (face value, nominal or principal).
- the coupon rate and par value are specified when the bond is issued.
- The coupon is often constant, but some bonds have variable rates like Euribor 3M in a currency.
Specific Bond Types
- Perpetual - principal never repaid and must be sold on the secondary market to get money back.
- Variable Rate (FRNs) - A variable rate bond's coupon is linked to interest rate and is determined at the start of periods.
- Mortgage - payments secured against property.
- Callable - Issuer has the option to buy them back, generally if rates are decreased.
- Putable - Investor option to sell bonds back, typically if rates are increased.
- Convertible - investor option to convert to issuer equity under agreed terms under high risk.
- Structured bonds - complex payment profiles like “spread notes which pay 3 times (rate20Y – rate2Y).
- Zero Coupon - no coupons, the single payment of principle is at maturity, in Islamic finance.
- Eurobonds- issued in currency different from the currency of the issuer’s country, mostly in dollars.
- Green bonds - used exclusively to finance projects that positively affect the environment/climate.
Treasury Bonds
- The U.S. Treasury issues for notes & bonds to finance operations
- Treasury bills: less than 1 year maturity
- Treasury notes: 1 to 10 years maturity
- Treasury bonds: 10 to 30 years maturity
- There negligible default risk
- Very low interest rates may have some present though limited present inflation risk.
- The secondary market is active.
Corporate Bonds
- Issued by corporations.
- Pay semi-annual coupons in US, but annual in Europe.
- Risk varies, interest rate varies with level of risk.
- The range of risk runs from very low-risk (AAA) to higher risk (BBB), and below BBB is sub-investment grade debt.
Defining Bond Ratings
- Grades assigned to bonds that identify their credit quality.
- Quality and rating go up with decrease in chance of default.
- Standard and Poor's, Moody's, and Fitch are major rating services.
- "A forward-looking opinion about the creditworthiness of an obligor", as S&P defines it.
Junk Bonds
- Rated below BBB, normally issued by new companies or ones with recent financial difficulties,.
- Trusts and insurer funds will not invest.
- They have higher returns and and higher risk.
Bond Pricing
- Theory treats bond pricing as pricing any known cash flows; equal to the flow’s PV, discounted at a rate that reflects risk, and bond pricing involves:
- Identifying the cash flows.
- Determining the discount rate.
- Discounting the set flows.
- Recalling how to treat coupon bonds, paying annual fixed flows ,we get:
- 𝑃𝑟𝑖𝑐𝑒 𝑃 = 𝑃𝑉 = 𝐶 / (1 + 𝑖) + 𝐶 / (1 + 𝑖)^2 + C / (1 + 𝑖)^3 + …+ C / (1 + 𝑖)^𝑛 + 𝑅 / (1 + 𝑖)^𝑛
- Where R is the reimbursement price.
- C is the coupon value.
- i is the yield to maturity (discount rate, IRR).
- n is years to maturity.
- PV is the present value of the bond payment.
- 𝑃𝑟𝑖𝑐𝑒 𝑃 = 𝑃𝑉 = 𝐶 / (1 + 𝑖) + 𝐶 / (1 + 𝑖)^2 + C / (1 + 𝑖)^3 + …+ C / (1 + 𝑖)^𝑛 + 𝑅 / (1 + 𝑖)^𝑛
Examples of Bond Pricing
- To compute the flow of of a $1,000 face value bond.
- With annual 10% coupon and exactly 3 years to maturity.
- Reimbursement occurs at 100%, yield-to-maturity (YTM) is 12% means;
- Yearly coupon flows 𝐶 = $1,000 × 10% i.e $100.
- The reimbursement is 100% that is $1,000:
- PV is $100 / (1 + 12%) + $100 / (1 + 12%)2+ $100 + $1,000 / (1 + 12%)3 or , $951.96.
Variations
- If there's 102% reimbursement: Reimbursed flow $1,020 and thus 𝑃𝑉 = $966.20.
- But with 9% YTM, 𝑃𝑉 is $1,025.31.
Simplify flows Of A Bond
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PV sums for bond coupon follow annuity formula:
- 𝑃𝑉 = Σ [n t=1] C / (1 + 𝑖)>t + 𝐹 / (1 + 𝑖)^𝑛
- = C / i * 1 -[1 + i ]^-n + 𝐹 / (1 + 𝑖)^𝑛
- 𝑃𝑉 = Σ [n t=1] C / (1 + 𝑖)>t + 𝐹 / (1 + 𝑖)^𝑛
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A bond with $1,000 face value has annual coupon is set at 6.5% and a time to maturity of 40 years with a YTM of 5.5% results in a PV:
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With discount rate known to be 6% - PV : 65 / (1 + 5.5%) + 65 / (1 + 5.5%)^ 2 +···+ 65 /(1 + 5.5%)^10+ 1,000 / (1 + 5.5%)^40 = : 65 : 5 . 5 %(1− [(1/ + 5.5%) *40+ 1,000 /(1 + 1 + 5.5%( 1−.5%)^40 =1,160.46 , 1/ (1 /+ 5. 5 %) 40 + 1,000 /(15
PV Semi Formula
- Semi-annual bonds require flow and returns to be half the annual rates and twice the years to maturity; n:
- 𝑃𝑉 semi = 𝐶/2 / (1 + 𝑖/2) +( 𝐶/2 / (1 + 𝑖/2)^2 +𝐶/2 /(1 + 𝑖/2)^3+ … + C/2 /(1 + i/2)^2n + 𝐹 /(1 + 𝑖/2)^2𝑛. .
- With an example of a 2-year 10% $1,000 face value bond requires rate is known to be at 12%
- Thus 𝐶 = $1,000 × 10% i.e $50 is semi.
- 𝑃𝑉 semi = $50 /( 1 + 0 .6) +.... + 1,050/ (1 + 0,6 )^4 i.e; $965 . 35.
- Note: with yearly coupon payments, the price is: 𝑃𝑉 = $100 /(1 +0,6 ) +. + 100/ (1 + 0,6 )^2= $966 20
Yield/Price Correlation of Annual Bonds
- 𝑃 = (Σ [tn =]) 𝐶 /( 1 + 𝑖) t + F/ (1 /+I )n
- there is a non-linear and inverse correlation to it and price, so as it grows, prices diminish and vise versa,.
- This reaction (sensitivity) is referred to duration, or rate.
Relations between coupon rate and YTM and par
_ Relation set:
- Bond selling at PAR = Coupon rate == YTM. - Bond trading aatDiscount (coupon rate is < YTM. - Bond listed as Premium) the former is more YTM. - It's why it leads he will pay for it, when high, because high values for i indicate an price drop. _ Investors requires higher is for increase of rates as and hence lowering of price
Bond Rate and Price
BONDs is and the spread between price and 76the two.
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