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Marco Chip, Inc. just issued zero-coupon bonds with a par value of $1,000. The bond has a maturity of 16 years and a yield to

Please type out the work for me folks, I need to understand this stuff :) Thanks!!

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Answer #1

A zero coupon bond does not pay any coupon interest. Its price is the present value of the bond payable at maturity.The formula for present value of bond at maturity is:

Zero coupon bond price = F / (1 + r)t

where, F is the face or par value of the bond = $1000, r is the yield to maturity = 13.03% compounded semi annually. So semi annual yield = 13.03% / 2 = 6.515%, t is the time period = 16 * 2 = 32 semi annual years

Now, putting the values in the above formula, we get,

Bond price = $1000 / (1 + 6.515%)32

Bond price = $1000 / (1 + 0.06515)32

Bond price = $1000 / (1.06515)32

Bond price = $1000 / 7.5360660215

Bond price = $132.70

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