​A bond with a $1,000 par value has an 8 percent annual coupon rate. It will mature in 4 years, and annual coupon payments are made at the end of each year. Present annual yields on similar bonds are 6 percent. What should be the current price?

Respuesta :

Answer: Current price of bond = $1069.46

Explanation:

Given that,

Par value of bond = $1,000

Annual coupon rate = 8%

Present annual yields on similar bonds = 6%

Maturity Period = 4 years

Current Price of bond = [tex]coupon[\frac{1 - (1+r)^{-t} }{r}] + \frac{Face\ Value}{(1+r)^{t} }[/tex]

= [tex]80[\frac{1 - (1+0.06)^{-4} }{0.06}] + \frac{1000}{(1+0.06)^{4} }[/tex]

= [tex]80[\frac{0.208}{0.06}]+ 792.14[/tex]

= 277.32 + 792.14

= $1069.46