Debt Markets: Money Markets and Bond Markets

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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?

  • 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?

  • 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?

  • 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?

<p>Treasury Bills are sold at a discount, providing an implied interest, and are virtually default-risk free. (C)</p> Signup and view all the answers

Given a Treasury bill quoted using a discount rate, articulate the critical nuances that differentiate this discount rate from the actual investment rate.

<p>The discount rate uses the face value in the denominator, understating the return, while the investment rate uses the purchase price, providing a more accurate return. (B)</p> Signup and view all the answers

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.

<p>Firms do so because it enables them to manage short-term liquidity mismatches cost-effectively without liquidating long-term assets. (C)</p> Signup and view all the answers

Assess the impact of the increasing cost of bank loans on the commercial paper market in the early 1980s, considering the roles of corporations.

<p>The increased cost of bank loans caused corporations to shift towards commercial paper for short-term financing. (A)</p> Signup and view all the answers

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.

<p>Commercial paper yields more and is riskier because corporations are less regulated than financial institutions, whereas CDs yield less and are safer. (A)</p> Signup and view all the answers

How do repurchase agreements (repos) function as a form of collateralized short-term borrowing, and are structured to mitigate risk for the lender?

<p>The borrower sells securities with an agreement to repurchase, while the lender receives collateral and mitigates default risk. (C)</p> Signup and view all the answers

How do repurchase agreements (repos) reduce risks?

<p>Reduced risk from high-quality securities as collaterals and lower rates than classic loans. (B)</p> Signup and view all the answers

Devise a method where a central bank (CB) can lower the interbank lending rate in the market?

<p>The CB could indirectly manipulate by adjusting the level of reserves in the system, and selling securities from banks. (C)</p> Signup and view all the answers

What role do banks with excess reserves play in the interbank market, and how does this affect the overall liquidity within the financial system?

<p>Banks lend funds to banks in need of reserves, increasing liquidity. (A)</p> Signup and view all the answers

Outline key components the determination of the price of a bond today.

<p>The price of a bond today is equal to the present value of its future cash flows, discounted at a rate that reflects the bond's risk. (C)</p> Signup and view all the answers

What fundamental risks are inherent in bond ownership, and how are they influenced by prevailing market conditions and the characteristics of the issuer?

<p>The risk is when bond issuer will default on the payment of interest or principal. (D)</p> Signup and view all the answers

When determining a fair price for the bond, what are the key inputs?

<p>Estimation of the appropriate discount rate, associated to the cash flows expected. (C)</p> Signup and view all the answers

Consider a bond rated below BBB. What is the typical class that the bond will fall under?

<p>Sub-investment grade. (A)</p> Signup and view all the answers

The stated annual interest rate on bond is commonly known as what?

<p>Coupon interest rate. (B)</p> Signup and view all the answers

Elaborate on the primary distinctions between 'municipal bonds' and 'treasury bonds,' especially concerning their risk profiles, tax implications, and the entities that issue them.

<p>Municipal bonds, issued by local governments, are tax-exempt at the federal level to help fund public projects, while treasury bonds are taxable but deemed risk-free. (B)</p> Signup and view all the answers

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?

<p>Corporate bonds have yields after tax compared to treasury bonds. (D)</p> Signup and view all the answers

Explain how the yield to maturity (YTM) of a bond is related.

<p>There is an inverse and non-linear relationship between yield to maturity and bond price. (A)</p> Signup and view all the answers

Discuss the implications of a callable bond for both the issuer and the investor, considering the interest rate environment and the potential for reinvestment.

<p>Callable bonds benefit the issuer to refinance at lower rates if market rates decreased. (B)</p> Signup and view all the answers

In the context of bond markets, what factors contribute the MOST to the price of the bond?

<p>Liquidity, credit worthiness of the issuer. (A)</p> Signup and view all the answers

Define at par, below par and above par.

<p>Selling at, below, above face value respectively. (D)</p> Signup and view all the answers

Given fluctuating interest and yield rate across a variety of reasons.

<p>Liquidity is one of the determinants. (A)</p> Signup and view all the answers

Considering interest rates and inflation rates, what are the implications of various types of bonds?

<p>US TREASURY bond interest rates are often considered the risk-free rate, there is an inherent risk when inflation is involved. (A)</p> Signup and view all the answers

What is the difference between bond versus treasury notes.

<p>Treasury notes are usually shorter. (B)</p> Signup and view all the answers

Given what is known about the risk of default, what is the meaning of investment grade for a bond?

<p>Investment grade rating is at or above BBB rated, to achieve reduced risk of default. (D)</p> Signup and view all the answers

Given a fixed rate bond, what are the coupon characteristics within that specific category?

<p>Often coupon is constant after the life of the bonds. (D)</p> Signup and view all the answers

What is the implication of risk when deciding bonds versus zero rate.

<p>The rate for risk must be above risk free. (D)</p> Signup and view all the answers

When determining a fair price for a bond, what are the key steps in determining the total discount rate?

<p>Appropriate discount rate needs to be estimated, and the expected cashflow must be discounted. (A)</p> Signup and view all the answers

How is the price of a 'zero coupon bond' calculated, what is expected of the YTM?

<p>Discount the rate to figure out the implied interest and the YTM. (A)</p> Signup and view all the answers

Define how governments typically are involved with bond agencies.

<p>Governments have agencies, can be municipal or high quality. (D)</p> Signup and view all the answers

What is a bond that is not repaid.

<p>Perpetual bond. (D)</p> Signup and view all the answers

What role does bond ratings play in finance?

<p>The lower the likelihood of default, higher rating. (A)</p> Signup and view all the answers

What is the role of a discount rate in bond price?

<p>Used to find the present value. (C)</p> Signup and view all the answers

What key factors contributes in the determination to measure a money market risk level.

<p>Credit ratings. (B)</p> Signup and view all the answers

What is the distinction amount Treasury Bills with other money martket accounts? (risk or returns)

<p>Virtually Default Risk in any case. (D)</p> Signup and view all the answers

When the interbank bond rates decrease, what is a great strategic move for the issuer? Give an example.

<p>Interest rates decrease makes it more cost effective to use a callable to reduce capital cost. (A)</p> Signup and view all the answers

What is the correct formula? Where: P = Value, C = Coupons, i = Interest Rate, and F = Future Value

<p>∑ PV = C / (1 + i)t + F/ (1 + i)n (B)</p> Signup and view all the answers

If a debt security day-count convention is 30 * 12, then what are the implications.

<p>Assumptions are not accurate, so we should be mindful. (A)</p> Signup and view all the answers

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?

<p>A repurchase agreement (repo) with a rolling overnight structure, actively managed to adjust to daily rate changes and counterparty risks. (D)</p> Signup and view all the answers

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?

<p>Shift towards holding excess cash reserves, accepting the marginal cost of negative rates as a hedge against unforeseen liquidity shocks. (C)</p> Signup and view all the answers

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?

<p>A large, systemically important financial institution (SIFI) heavily reliant on repos collateralized by complex, opaque asset-backed securities during a period of heightened market volatility. (C)</p> Signup and view all the answers

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?

<p>Engage in reverse repurchase agreements (reverse repos), selling government securities to banks, and thereby increasing banking reserves. (D)</p> Signup and view all the answers

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?

<p>Borrow short-term funds in the money market at the higher rate and invest in long-term bonds, expecting the yield curve to normalize and profiting from capital appreciation. (D)</p> Signup and view all the answers

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?

<p>Increase the attractiveness of taxable corporate bonds, as the reduced tax rate diminishes the relative advantage of municipal bond tax exemptions. (D)</p> Signup and view all the answers

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?

<p>Enter into an interest rate swap, receiving fixed and paying floating, to offset the potential loss of higher coupon payments if the bond is called. (A)</p> Signup and view all the answers

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?

<p>A 'liquidity black hole,' where the bond cannot find ready buyers due to its specific embedded features such as call provisions or covenant structures. (C)</p> Signup and view all the answers

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?

<p>It reduces default risk, as the issuer is committed to systematically retiring portions of the debt, thus improving debt sustainability. (D)</p> Signup and view all the answers

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)?

<p>Variations in the size and depth of the secondary markets for each bond issue, impacting liquidity premiums embedded in the yields. (C)</p> Signup and view all the answers

A treasury bill is priced using these variables, which best describes the interations?

<p>An increase in <code>idiscount</code> will decrease the price, <code>P</code>, of the Treasury bill, reflecting its inverse relationship. (B)</p> Signup and view all the answers

Given what is known about money markets and treasury bills, which formula calculation is correct?

<p>ithis impliesidscount = F-P/F x 360/n (D)</p> Signup and view all the answers

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?

<p>The central bank purchases government securities from commercial banks, increasing banking reserves. (A)</p> Signup and view all the answers

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?

<p>To address asynchronization of cash flows, choose to borrow in the money markets because they have a short-term nature with liquidity, allowing flexible repayment terms aligning with cash inflow timing. (D)</p> Signup and view all the answers

What are the major components when determining the price of a bond?

<p>Primarily, the bond's coupon payments and remaining time to maturity, discounted at an appropriate rate that reflects the riskiness of the cash flows. (D)</p> Signup and view all the answers

The yield to maturity calculation is made up of many components, which component will best measure the return over the life of the bond?

<p>The total anticipated return that an investor will perceive if the bond is held until it matures. (A)</p> Signup and view all the answers

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?

<p>Decrease the reserve requirements for commercial banks to free up excess reserves. (A)</p> Signup and view all the answers

When determining a fair price for a bond, which represents the MOST accurate approach?

<p>Calculate the present value of its anticipated cash flows and discounting at a appropriate discount rate. (C)</p> Signup and view all the answers

Given that there are riskier rated bonds that can be rated below BBB, where does is what the expected class?

<p>It will typically be rated as 'non-investment grade', 'high-yield' or 'junk bonds'. (D)</p> Signup and view all the answers

Given that the bond can be municipal bonds versus treasury bonds, what is the primary consideration when deciding?

<p>Municipal bonds are tax-exempt, making them attractive to investors in high tax brackets. (C)</p> Signup and view all the answers

Given that the markets must determine the appropriate yield between corporate and treasury bonds. How do market participant do so?

<p>Market participants access the risk and reward and calculate riskier the security, the higher the yield. (D)</p> Signup and view all the answers

Why does this bond get the name zero coupon? Or also known as rate free.

<p>Zero coupons has little to no coupons during its life. (C)</p> Signup and view all the answers

Why is a bond rating utilized in the market?

<p>A metric to gauge the credit related with the issues. (C)</p> Signup and view all the answers

How do companies handle asynchronization of payments?

<p>They borrow from money markets because they help provide a solution to solve this. (C)</p> Signup and view all the answers

What is the maturity period when a bond is considered a treasury bill.

<p>Less than 1 year. (B)</p> Signup and view all the answers

Governments such as the United States, United Kingdom, Germany, France, and Japan, sell treasurey notes/bonds. What else do they consist if?

<p>Municipal bonds at a local level. (D)</p> Signup and view all the answers

True or false: If a firm sels securites to buy back at an agreed price it is Repurchase Agreements?

<p>True (B)</p> Signup and view all the answers

According to the lesson, bonds and stocks share many traits. Name the most obvious one.

<p>The more risk, the more reward. (B)</p> Signup and view all the answers

Why is default a problem? Specifically referring ot bonds.

<p>The risk that the bond issuer will not be able to default on payments. (B)</p> Signup and view all the answers

Flashcards

Money Market

Market for short-term debt instruments (less than one year).

Treasury Bills

Debt security issued by the US Treasury to cover budget deficits, sold at a discount.

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

Buy money market securities to warehouse excess funds for short periods and get a return.

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Borrower role in Money Market

Sell money market securities for a low-cost temporary source of funds.

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Commercial Paper

A note issued by a creditworthy corporation.

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Certificate of Deposit (CD)

Issued by a financial institution, has a longer duration never exceeding 3 years.

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Repurchase Agreement (Repo)

A form of collateralized short-term borrowing.

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Interbank Market

Short-term funds transferred between financial institutions, typically overnight.

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Coupon Interest Rate

The stated annual interest rate on a bond.

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Face Amount

The bond's maturity value, received by the holder at maturity.

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Maturity

Number of years until the bond matures and face amount is paid.

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Par Value

The same as face amount or maturity value.

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Yield to Maturity

The return an investor will earn if the bond is held until maturity.

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Par value

Interest payments in the form of coupons. Also called face value, nominal or principal.

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Bond

Long-term debt security

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Governments that Issue Bonds

Us Treasury Notes and Bonds, UK: Gilts, Germany Bund, France: OAT, Japan: JGB.

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Entities That Buy Bonds

Pension funds, life insurance companies, hedge funds, hosue holds and govenrments.

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Coupon Bonds

Annual or semi annual interest payments in the form pf coupons.

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When Bond Matures

Issuer pays back borrowed amount, known as nominal/principal/face value

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Perpetual Bond

Principal is never repaid.

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Variable rate (FRNs)

Coupon linked to interest rate.

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Mortgage Bond

Payments secured against property

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Callable Bond

Issuer has the option to by them back (usually rates decrease).

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Puttable Bond

Investor option to sell them back ( usually if rates increase).

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Convertible Bond

Investor option to convert into issuer equity after x years.

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Structured Bonds

Complex payment profiles.

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Zero Coupon Bond

No coupons, only payment of principal at maturity.

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Eurobond

issued in currency different from the currency of the issuer's country - mainly in USD, not Euro!.

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Green Bonds

Used exclusively to finance projects that have positive environmental/market started 20 years ago.

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Junk Bonds

Debt that's rated below BBB. Higher return, higher risk.

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Price of a Bond Today

Equal to present value of its future cash flows.

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Bond Ratings

grade given to bonds that indicates their credit quality-Moody/Fitch.

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Bond Prices Fluctuate

Bonds fluctuate for various reasons - interest rates, credit quaility, etc.

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Credit Default Risk

Risk the bond issuer will default payment of interest or principal.

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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.

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

  • 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
  • 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:

  • 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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