Answer:
Hersey's bond = $1125.513
Mars bond = $1172.259
Explanation:
Hersey bond;
Period(t) = 10years = 40(quartely)
Coupon (C) = $30
Rate (r) = 0.1 = 0.025(quarterly)
Pay at maturity(p) = $1000
Using the both present value (PV) and compound interest formula ;
PV =[ C × (1 - (1+r)^-t) ÷ r] + [p ÷ (1 + r)^t]
PV = [30×(1-(1.025)^-40)÷0.025] + [1000÷(1.025)^40]
PV =( 753.083251562) + (372.4306236)
PV = $1125.513
Mars bond;
Period(t) = 20years = 80(quartely)
Coupon (C) = $30
Rate (r) = 0.1 = 0.025(quarterly)
Pay at maturity(p) = $1000
PV =[ C × (1 - (1+r)^-t) ÷ r] + [p ÷ (1 + r)^t]
PV = [30×(1-(1.025)^-80)÷0.025] + [1000÷(1.025)^80]
PV =(1033.55451663) + (138.704569467)
PV = $1172.259
