You bought one of Great White Shark Repellant Co.’s 6.6 percent coupon bonds one year ago for $1,056. These bonds make annual payments and mature 11 years from now. Suppose you decide to sell your bonds today, when the required return on the bonds is 4.5 percent. The bonds have a par value of $1,000. If the inflation rate was 3.2 percent over the past year, what was your total real return on investment? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e. g., 32.16.)

14.25%

Explanation:

For computing the total real return first we have to find out the present value and the required return which is shown below:

Given that,  

Future value = $1,000

Rate of interest = 4.5%

NPER = 11 years

PMT = $1,000 × 6.6% = $66

The formula is shown below:

= -PV(Rate;NPER;PMT;FV;type)

So, after applying the above formula the present value is $1,179.11

Now the required return is

= ($1,179.11 + $66) ÷ ($1,056) -1

= 17.91%

And finally,

total real return

= ($1.1791 ÷ 1.032) - 1

= 14.25%

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