Demystifying bond pricing

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By Daniel ANKOMAH

So, there I was in the office, surrounded by reports and charts, when the phone rang, and it was an old school colleague. After exchanging the usual pleasantries, he threw a question at once that seemed simple yet carried significant implications: “Chief, I beg, quick one, is it possible for a bond to have a price?” Without hesitation, I said yes, all bonds have prices.

This was indeed a period where many who previously had considered themselves savvy fixed income investors were coming to terms with the fact that the seemingly stable world of fixed income could also witness declines in returns and portfolio values.



For many investors, the idea of an investment or mutual fund potentially losing value was reserved for the realm of equities or equity-based investments. So, imagine the surprise when fixed income investors, used to calm waters, found out that their investments could also take a hit. It was like realizing your favourite gari and beans joint could also occasionally have some stones in the meal.

The dynamics at play were seemingly complex. The prices of fixed income funds, which usually had a mix of bonds as the underlying securities and typically considered bastions of stability, were suddenly exposed to the volatility of market forces upon the implementation of mark to market valuation.

The interest rate environment played a pivotal role, with fluctuations influencing bond prices. As interest rates moved, the values of existing bonds adjusted accordingly, rising when rates fell and falling when rates rose.

This shift in market conditions forced fixed income investors to confront a new reality. The very instruments they had relied on for stability were not immune to the tides of market volatility. It was a period of adjustment and reflection as investors grappled with the notion that their fixed income mutual funds could experience declines in value as their equity counterparts.

What was once considered a concern for behind-the-scenes players in finance—portfolio managers and investment analysts—now became a topic of mainstream importance. Investors had to expand their understanding beyond the simple coupon payments and maturities of bonds; they needed to grasp the intricacies of how market conditions could sway the values of their fixed income investments mostly for mutual fund investors.

Here’s the deal: Bonds, like equities, have a price and trade in markets like equities do but before we delve deeper, we need to first answer what a bond is.

At its core, a bond is essentially a loan. When you invest in a bond, you are lending a specific sum of money to a borrower (the issuer of the bond), which can be a company, government, or a government entity. In return, they promise to pay you interest, referred to as the coupon, and to repay your principal at a predetermined future date.

The initial amount of money that the bondholder lends to the issuer is known as the principal. It is the face value or par value if the bond was issued at par.  If you buy a bond at its par value, it means that the amount you paid for it is exactly what you will receive when the bond matures.

Bond prices are not static; they fluctuate based on market conditions, performance of the issuer, and strategic shifts. An issuer’s improved financial position or strategic moves can drive demand for the bond, increasing its price. On the other hand, if market interest rates decline, the price of existing bonds may rise.

It is important to note that, once you invest in a bond, your return remains constant if you hold it to maturity, assuming the issuer does not default. However, you become exposed to price volatility if you decide to sell the bond before maturity or use it for purposes such as collateral for a loan, as market value fluctuations may impact its usability or the terms of the transaction. This stability arises from the nature of the investment; the issuer repays the coupons and principal regardless of the bond’s price.

The price of a bond is determined by several factors, including:

  • Coupon Rate: The fixed interest rate paid by the bond, usually annually or semi-annually. Bonds with higher coupon rates are generally more valuable because they provide higher income.
  • Market Interest Rates: The prevailing interest rates in the market have a significant impact on bond prices. When market interest rates rise, existing bonds prices fall, and when market interest rates fall, existing bonds prices rise. This inverse relationship is observed because new bonds are issued at current interest rates, which affects the attractiveness of existing bonds with different rates.
  • Credit Quality: The credit rating or perceived creditworthiness of the issuer affects the bond price. Bonds issued by entities with higher credit ratings (lower risk of default) tend to have higher prices than those issued by entities with lower credit ratings.
  • Time to Maturity: The length of time until the bond matures affects its price. Generally, the longer the time to maturity, the more sensitive the bond is to changes in interest rates.
  • Yield to Maturity (YTM): The total return anticipated on a bond if it is held until it matures. YTM considers the bond’s current market price, coupon rate, and time to maturity, allowing investors to compare bonds with different maturities and coupon rates.
  • Inflation Expectations: Inflation reduces the purchasing power of future cash flows (coupon payments and principal repayment), so higher expected inflation usually leads to lower bond prices.
  • Supply and Demand: The market demand for bonds and the supply of bonds also influence bond prices. Increased demand for bonds can drive prices up, while increased supply can drive prices down.
  • Economic and Political Conditions: Economic stability, political events, and overall market conditions can affect investor sentiment and influence bond prices.

Bond Pricing Formula:

The price of a bond can be calculated using the present value formula, which discounts the future cash flows (coupon payments and principal repayment) to their present value using the current market interest rate (discount rate).

For a bond with a face value F, coupon payment C, number of periods to maturity n, and market interest rate r:

Where:

  • P = Price of the bond
  • C = Coupon payment
  • F = Face value of the bond
  • n = Number of periods to maturity
  • r = Market interest rate per period

This formula calculates the sum of the present values of all coupon payments plus the present value of the face value to be paid at maturity.

Bond prices can be calculated using an Excel spreadsheet. The PV (Present Value) function can be used to calculate the present value of the future cash flows, which include both the periodic coupon payments and the face value of the bond at maturity.

Ghana Fixed Income Market (GFIM)

In Ghana, government bonds are traded on the Ghana Fixed Income Market (GFIM). The Ghana Fixed Income Market (GFIM) is a platform that facilitates the trading of fixed income securities, including government bonds, corporate bonds, and treasury bills in Ghana. Established to enhance liquidity and transparency in the fixed income sector, the GFIM allows investors, such as institutional investors, portfolio managers, and retail investors, to buy and sell fixed income instruments more efficiently.

At the close of each trading day, the prices of bonds traded on the GFIM are published, providing essential information for portfolio managers. These daily bond prices are crucial for the accurate valuation of mutual funds and other investment portfolios. By incorporating the end-of-day bond prices, portfolio managers can ensure that their funds reflect the most current market conditions, contributing to a precise and up-to-date overall valuation of the funds.

In conclusion, understanding bond pricing is crucial for both seasoned investors and newcomers to the fixed-income market. The dynamics of market conditions have shown that bonds, like equities, are subject to price fluctuations driven by interest rates, credit quality, and various economic factors. This awareness should encourage investors to adopt a more comprehensive approach to fixed-income strategies, recognizing that while price increases are often expected, they are neither guaranteed nor assured in any investment.

It is advisable to speak to an investment advisor when making investments to be sure you understand all the nuances associated with the investment vehicle you are putting funds into.

>>>the writer is a seasoned financial analyst, licensed investment advisor, and the Chief Investment Officer at SAS Investment Management Ltd (SAS-IM). With a strong passion for advancing investment knowledge across Ghana and Africa, he is committed to driving innovative solutions that empower investors and promote financial growth

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