Question

Item 1Item 1 Weismann Co. issued 11-year bonds a year ago at a coupon rate of 11 percent. The bonds make semiannual payments and have a par value of $1,000. If the YTM on these bonds is 12 percent, what is the current bond price

Answer 1

Answer:

Price of the bond is $940.

Explanation:

Price of bond is the present value of future cash flows. This Includes the present value of coupon payment and cash flow on maturity of the bond.

As per Given Data

As the payment are made semiannually, so all value are calculated on semiannual basis.

Coupon payment = 1000 x 11% = $110 annually = $55 semiannually

Number of Payments = n = 11 years x 2 = 22 periods

Yield to maturity = 12% annually = 6% semiannually

To calculate Price of the bond use following formula of Present value of annuity.

Price of the Bond = C x [ ( 1 - ( 1 + r )^-n ) / r ] + [ F / ( 1 + r )^n ]

Price of the Bond =$55 x [ ( 1 - ( 1 + 6% )^-22 ) / 6% ] + [ $1,000 / ( 1 + 6% )^22 ]

Price of the Bond = $55 x [ ( 1 - ( 1.06 )^-22 ) / 0.06 ] + [ $1,000 / ( 1.06 )^22 ]

Price of the Bond = $662.29 + $277.5

Price of the Bond = $939.79 = $940