Answer:
t = 18 93 years
Explanation:
Given Data;
Yield to maturity (r) = 0.0843/2 = 0.04215
Current market price = $781.50
Bond = 6.1%
Face value = $1,000
Pv = (%bond * fv/2) * (1-1/(1+r)^2t)/r+fv/(1+r)^2t
Where pv is the current value, fv is the face value, t is the time and r is the yield
Substituting into the formula, we have
781.50 = (0.06*1000/2) * (1-1/(1+0.04215)^2t) /0.04215+ 1000/(1+0.04215)^2t
781.50 = 30.5 * (1 - 0.96^2t) /04215 + 959.55^2t
781.50 = 1.22^2t /0.04215 + 959.55^2t
After simplifying further,
t = 18 93 years
