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The Fisher equation can be used in the analysis of bonds.The real return on a bond is roughly equivalent to the nominal interest rate minus the expected inflation rate. But if actual inflation exceeds expected inflation during the life of the bond, the bondholder's real return will suffer.
If there is a negative real interest rate, it means that the inflation rate is greater than the nominal interest rate. If the Federal funds rate is 2% and the inflation rate is 10% , then the borrower would gain 7.27% of every dollar borrowed per year.
In the case where the growing quantity is a financial asset, is a nominal interest rate and is the corresponding real interest rate; the first-order approximation = is known as the Fisher equation. [1]
For example, if the inflation rate is 5%, on a one-year loan of $1,000 with an 8% nominal interest rate the real interest rate would be 8% minus 5% or 3%. The real interest rate will usually be ...
In this analysis, the nominal rate is the stated rate, and the real interest rate is the interest after the expected losses due to inflation. Since the future inflation rate can only be estimated, the ex ante and ex post (before and after the fact) real interest rates may be different; the premium paid to actual inflation (higher or lower).
The nominal interest rate is the accounting interest rate – the percentage by which the amount of dollars (or other currency) owed by a borrower to a lender grows over time, while the real interest rate is the percentage by which the real purchasing power of the loan grows over time. In other words, the real interest rate is the nominal ...
If inflation is 10%, then the $110 in the account at the end of the year has the same purchasing power (that is, buys the same amount) as the $100 had a year ago. The real interest rate is zero in this case. The real interest rate is given by the Fisher equation: = + + where p is the inflation rate.
In this equation, is the target short-term nominal policy interest rate (e.g. the federal funds rate in the US, the Bank of England base rate in the UK), is the rate of inflation as measured by the GDP deflator, is the desired rate of inflation, is the assumed natural/equilibrium interest rate, [9] is the actual GDP, and ¯ is the potential ...