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Zorluk: ZorDebt Securities and Bond Structure

A corporate bond with a par value of 1,0001,000 is quoted at 9696 and has a published current yield of 6.25%6.25\%. If the bond pays interest on a semi-annual basis, what is the dollar amount of each individual semi-annual coupon payment?

Cevap: 30 $

Cevap

The dollar amount of each individual semi-annual coupon payment is $30.
To calculate the semi-annual interest payment, first determine the market price by taking 96% of the 1,000parvalue,whichequals1,000 par value, which equals 960. Using the current yield relationship (Current Yield=Annual CouponMarket Price\text{Current Yield} = \frac{\text{Annual Coupon}}{\text{Market Price}}), find the annual coupon by multiplying 960by6.25960 by 6.25%, yielding 60. Finally, divide the 60annualcouponby2toaccountforsemiannualpayments,resultingin60 annual coupon by 2 to account for semi-annual payments, resulting in 30 per payment.

Adım Adım Çözüm

1
Calculate the market price of the bond
Market Price = $960.00
A bond quoted at 96 trades at 96% of its 1,000parvalue(1,000 par value ( 1,000 * 0.96).
2
Calculate total annual interest paid by the bond
Annual Interest = $60.00
Current Yield equals Annual Interest divided by Market Price. Therefore, Annual Interest = Market Price * Current Yield ($960 * 0.0625).
3
Calculate the semi-annual coupon payment amount
Semi-Annual Payment = $30.00
Because bond interest is paid semi-annually (twice per year), the total annual interest is divided by 2 ($60 / 2).

Anahtar Kavram

Debt Securities and Bond Structure - Current Yield and Semi-Annual Coupon Calculation
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