Question

A bond par value is $1,000 and the coupon rate is 5.1 percent. The bond price was $946.02 at the beginning of the year and $979.58 at the end of the year. The inflation rate for the year was 2.6 percent. What was the bond's real return for the year

Answer 1

Answer:

the bond's real return for the year is 6.18 %.

Explanation:

First find the nominal return of the bond then the real return as follows :

PV = - $946.02

Pmt = $1,000 × 5.10% = $51

P/yr = 1

FV = $979.58

n = 1

r = ?

Using a Financial Calculator, the nominal return of the bond, r is 8.9385 %.

Real Return = ( 1 + nominal return) / (1 + inflation rate) -1

                   =  (1 + 0.089395) / (1 + 0.026) - 1

                   = 0.0618 or 6.18 %