One year ago, Makato Omura purchased a 6.50% fixed coupon bond for 98.50. Recently, she sold the bond for 99.25 and calculated her return at 7.4%. Her friend, Takanino Takemiya, CFA, reminds Omura that this is the nominal return and that to calculate the real return, she needs to factor in the inflation rate over the holding period. If the price index for the current year is 118.5 and the price index one year ago was 115.9, Omura’s real return is closest to:
Omura’s real return is approximated by subtracting the inflation rate from the calculated (nominal) return. As indicated in the preliminary reading for Study Session 4, LOS 1.B.e, the inflation rate is calculated using the formula:
Inflation = (Price Indexthis year – Price Indexlast year) / Price Indexlast year
Here, inflation = (118.5 – 115.9) / 115.9 = 0.0224, or approximately 2.2%.
Thus, the real return = 7.4% - 2.2% = 5.2%.
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