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Introduction to Investments MTH6100 Actuarial Mathematics Fixed Interest Securities • Issued by Governments & companies when they wish to borrow money (usually long term money). • Usually listed & tradeable • Priced per nominal amount of bond (eg per £100 nominal) • Regular interest payments (“coupons”) of known amount paid until date of maturity (“redemption date”) • “Par” means the nominal amount • Bond prices and redemption amounts are defined in relation to par “at par” “above par” and “below par” Fixed Interest Securities - Example Vodaphone 5.625% 4 Dec 2025 • Annual coupon of £5.625 per £100 nominal. • Repayable at par in December 2025. • Current price is above par at £122.281 per £100 nominal. • Pre-tax IRR to an investor at current price is 2.75% pa. This is known as the “gross redemption yield”. • The running yield is the term for the immediate cash return to an investor before allowing for tax and any capital gains or losses on the bond. • Running Yield = 𝐶𝑜𝑢𝑝𝑜𝑛 𝑝𝑒𝑟 £100 𝑛𝑜𝑚𝑖𝑛𝑎𝑙 = 5.625% 𝑥 100 122.281 = 4.6% 𝑃𝑟𝑖𝑐𝑒 𝑝𝑒𝑟 £100 𝑛𝑜𝑚𝑖𝑛𝑎𝑙 Government Bonds v Corporate Bonds Government Bonds Corporate Bonds • UK gilts, US treasuries, JGB, German bund • Known by name of issuer • Often considered very low risk (but…) • Risk depends on quality of issuer • Markets usually large and liquid • Markets largely illiquid except for largest issues • Usually easy to buy/sell with low trading costs • Higher trading costs • Insurer/pension fund demand for long • Many insurers and pension schemes term and index linked bonds reducing would follow a “buy and hold” liquidity for some issues strategy “57 Varieties” of Corporate Bond Debentures Bonds that provide some sort of security to investors. Example: A mortgage debenture Unsecured Bonds with no special security for investors. Investors rank alongside other creditors in the event of bankruptcy. Eurobonds A particular form of bond which is traded internationally and which is often issued in $ or Euro. Typically for larger more liquid issues. Convertibles Convertible into shares of the company in some conditions. Two broad scenarios: i) Issued by bank/insurance company as part of their regulatory capital; or ii) “conversion option” added to make bond more attractive to investors. Asset Backed Securities Fixed interest securities backed by income producing assets. Example: utility cashflows, “Bowie bond” Certificates of Deposit Short term borrowings (up to 6 months by banks and building societies). Typical Problems • Explain the key characteristics of a {government security} • Determine the price… • Determine the gross or net redemption yield… • Analyse impact of bond restructuring • Complexities: • Tax • Optional redemption dates • Index Linked Securities