To determine whether Trek Star Productions' bonds are trading at a premium or a discount, we need to compare the coupon rate of the bonds to the market required return.
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Calculate the coupon rate: \[ \text{Coupon Rate} = \frac{\text{Annual Coupon Payment}}{\text{Face Value}} = \frac{102.75}{1000} = 0.10275 \text{ or } 10.275% \]
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Market required return: The market required return is given as 12.00%.
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Comparison: The coupon rate (10.275%) is less than the market required return (12.00%).
When the coupon rate is less than the market required return, the bonds will trade at a discount.
Conclusion: DISCOUNT