Leaning Objectives And Agenda
2.1 Bond Markets
What Types of financial markets and securities are there??
Securities= Wertpapiere wie Stocks, bonds, derivatives
What types of fixed income securities are there?
Es gibt 7 Stück
Mortgage= Hypothek
Characteristics of fixed income securities
5 Stück
Bond prices
what prices are there
How can we calculate a coupon
Day count conventions
why necessary??
What are the most common conventions??
Bond prices and yields
what is a bond price
A bond yield
A par yield
2.1 Bond markets
Par, discount and premium bonds
what is the Formular (Formel)?
What are the different relations between the markets
2.2 The term Structure of Interest Rates
Theorems on bond prices
What are the Rules about how bond prices react when the interest rates change??
Malkiel (1962) 1-5, Homer/Liebowitz (1972):
Rules about how bond prices react when interest rates (yields) change
2.2
Economic functions of interest rates
What are the functions of interest rates??
Types of interest rates
what types of interest rates are there ?
Treasury rate
Interest rate paid on government bonds; usually considered risk-free because governments are assumed not to default in their own currency.
Government bond(Staatsanleihe)= A debt security issued by a national government to borrow money from investors.
Risk-free= A financial asset with (almost) no chance of default; used as benchmark for pricing.
EURIBOR (European Interbank Offered Rate)
The interest rate at which European banks lend money to each other for short periods (e.g., 1m, 3m, 6m, 12m) m for months.
Quote (bank quote)= A price or interest rate that a bank offers in the market.
Not risk-free= An asset or interest rate that includes credit risk because the borrower could default.
Opportunity cost of capital= The return you could earn by using money in the next-best alternative investment.
ARR (Alternative Reference Rates)
New benchmark interest rates (e.g., SOFR, €STR, SARON) designed to be more reliable and less risky than old rates like LIBOR.
SOFR / €STR / SARON / SONIA / TONA=
Risk-free overnight interest rates used in the US (SOFR), Eurozone (€STR), Switzerland (SARON), UK (SONIA), and Japan (TONA).
Overnight rate= An interest rate for lending money for one day.
Credit risk= The risk that a borrower will not repay debt.
Transaction-based= Calculated using actual trades in the market, not estimates or opinions.
Zero rate (zero-coupon rate)
Interest rate comes from a zero-coupon bond, which pays only one cash flow at maturity.
Zero-coupon bond= A bond that pays no coupon and only repays the face value at maturity.
Face value / Par value= The amount that will be repaid at maturity (usually 100 or 1,000).
Compounding frequency
is it important to look at compounding frequency
Linear interest ( simple interest): no compounding, you earn interest only on the initial amount
Discrete compounding: interest is added at fixed intervals( Bsp: yearly), you earn interest only on the previous interest
Continuous compounding: interest is added all the time, this gives the highest result, because it compounds constantly
Spot rates
Example spot rates
How to determine spot rates?
What are the problems?
Explicitly quoted= direkt angegeben
Observable= beobachtbar
Obtained= Erhalten/bekommen
2,2
How to determine spot rates: 3 scenarios
explain scenario 1
Zero Bond prices and the Spot rates (interest rates)
explain scenario 2
Replicate/ Refinance Coupon bonds with a Zero Coupon bond
(siehe Tutorial 1 Aufgabe II Nr. 3 und 4)
Scenario 2
2 scenario (2.0)
explain scenario 3
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