solution 1: 5.38 %
EXPLANATION:
given that = maturity value of bond = $580 million
pay to boundholderin 2033
so no of year (2019 to 2033)= 14 years
solution 1 effective interest rate of the bonds = bonds value on 2019 / bonds value on 2033
= $278 /$580
= .48
by applying formula of present value we calculate effective interest rate
pv = 1/(1+k)n
here pv = 0.48
n = 14 years
k = effective interest = ?
so pv = 1/(1+k)n
0.48 = 1/(1+k)14
(0.48) x (1+k)14 = 1
((1+k)14 =1/(0.48)
1+k =( 2.083333)1/14
k = 0.0538
or k= 5.38%
(note : here student not provide tabel hence we calculated pv by applying above formula)
solution 2 :$ 379.08(approx)
EXPLANATION :
given that
effective interest rate = 5.38 %
years(2013 to 2033) = 20 years
pv = $1080 x(1+.0538)20
= $1080 x0.351= $ 379.08(approx)
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