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Tuesday 14 April 2015

Let's assume that this can be broken down into a real rate of exactly 2% and an inflation premium of 1.775% (no premium for risk, as government bond is considered to be "risk-free"):

http://en.wikipedia.org/wiki/Fisher_equation?hc_location=ufi

Example

The market rate of return on the 4.25% UK government bond maturing on 8 March 2050 is 3.81% per year. Let's assume that this can be broken down into a real rate of exactly 2% and an inflation premium of 1.775% (no premium for risk, as government bond is considered to be "risk-free"):-

From here the nominal interest rate can be solved for.
\begin{align}
1 + i_t &= \left (1 + r_{t+1} \right ) \left (1 + \pi_{t+1} \right ) \\
        &= 1 + r_{t+1} + \pi_{t+1} + r_{t+1} \pi_{t+1}
\end{align}

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