Answer:
Rate of return = 9.887%
Step-by-step explanation:
What will be the rate of return on the bond if its yield to maturity at the end of the year is 6%
New price of the bond = Present value of the final coupon payment + Present value of the maturity amount
New price of the bond = $80 / (1+r) +$1,000 / (1+r)
New price of the bond = $80 / (1+0.06) +$1,000 / (1+.06)
New price of the bond = $80 / (1.06) +$1,000 / (1.06)
New price of the bond = $1,080 / 1.06
New price of the bond = $1,018.87
Rate of return = Coupon + New price - Old price / Initial price
Rate of return = $80 + $1,018.87 - $1,000 / $1,000
Rate of return = $98.87 / $1,000
Rate of return = 0.09887
Rate of return = 9.887%