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Ghost Rider Corporation has bonds on the market with 8 years to maturity, a YTM

ID: 2714489 • Letter: G

Question

Ghost Rider Corporation has bonds on the market with 8 years to maturity, a YTM of 5 percent, and a current price of $945. What must the coupon rate be on the company’s bonds? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Omit the "%" sign in your response.)

                     

Ghost Rider Corporation has bonds on the market with 8 years to maturity, a YTM of 5 percent, and a current price of $945. What must the coupon rate be on the company’s bonds? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Omit the "%" sign in your response.)

Explanation / Answer

Coupon rate = interest rate / par value

= $42.08 / $1000

= 4.21

Note: Assume par value of bond = $1000

     Present value Principal = 1000 / (1+0.05)8

   = 1000 / (1.05)8

   = $675.68

Present value coupon = current price - PV principal

   = $945 - $675.68

   = $269.32

Coupon Amount = (present value coupon * yield )

{1 - (1 / 0.05)8 }

= (269.32 * 0.05) / ( 1- 0.68)

= 13.466 / 0.32

= $42.08

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