Answer:
So, the bonds will issue at par which means that they will issue at their face value of $58000
Explanation:
If the coupon rate paid by the bond and the market interest rates are same, the bonds are always issued at par. We can check this through the following.
To calculate the price of the bond, we need to first calculate the coupon payment per period. We assume that the interest rate provided is stated in annual terms. As the bond is a semi annual bond, the coupon payment, number of periods and semi annual YTM will be,
Coupon Payment (C) = 0.05 * 1/2 * 58000 = $1450
Total periods (n)= 15 * 2 = 30
r or YTM = 5% * 1/2 = 2.5% or 0.025
The formula to calculate the price of the bonds today is attached.
Bond Price = 1450 * [( 1 - (1+0.025)^-30) / 0.025] + 58000 / (1+0.025)^30
Bond Price = $58000
