Answer:
8.00%
Step-by-step explanation:
The price of a zero-coupon bond is the present value of its face value since no coupon payments exist, hence, we can determine the semiannual rate of return using the formula below:
PV=FV/(1+r)^n
PV= $675.68
FV=$1000
r=semiannual rate of return=unknown
n=number of semiannual periods in 5 years=5*2=10
$675.68=$1000/(1+r)^10
$675.68*(1+r)^10=$1000
(1+r)^10=$1000/$675.68
$1000/$675.68 can be rewritten as ($1000/$675.68)^1
(1+r)^10=($1000/$675.68)^1
divide indexes on both sides by 2
1+r=($1000/$675.68)^(1/10)
r=($1000/$675.68)^(1/10)-1
r=4.00%(semiannual rate of return)
the annual rate of return(compounded semiannually)=4.00%*2=8.00%