Chapter 11: Real rates of return and index-linked bonds Flashcards
index-linked bonds
Each coupon payment depends on the rate of inflation in the economy
RPI/CPI
Retail/Consumer Price Index
Way to measure inflation, uses a basket of goods (and services) over time by combining over 180000 individual prices for over 650 representative items.
They use different baskets and different formulae
What does inflation do?
Erodes the purchasing power of money over time
i.e. if the price of goods increasing over time, the amount that a fixed sum of money can buy decreases
Money rate of return
the percentage increase in money by investing.
e.g. if 1000 is invested at time 0 and 1050 is the total at time 1, the money RoR on the investment is 5% pa
Real rate of return
Return % on investment taking into account inflation
1+i_r=(1+i)/(1+j)
where j is inflation and i is money ror
Relationship between monetary cashflows and real cashflows
Assuming a constant rate of inflation of j pa effective:
Monetary cashflow at time t = Real cashflow at time t * (1+j)^t
Calculating real cashflows at time 0 prices using an inflation index
Real cf at time t= Monetary cf at time t * inflation index at time 0 / inflation index at time t
nominal coupon rate (for a bond)/ redemption rate
Coupon rate before indexation is applied
i.e. coupon rate under an assumption of zero inflation
Similarly for redemption rate