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CS Executive · Corporate Accounting and Financial Management · Security Analysis

A 2-year debenture of face value ₹1,000 pays an annual coupon of 8% and is redeemable at par at the end of year 2. It is priced at ₹1,000 today. A zero-coupon bond of face value ₹1,000, maturing in 2 years, is to give the same yield to maturity as this debenture. What is the approximate price of the zero-coupon bond (nearest ₹)?

The zero-coupon bond should be priced at about ₹857. A par-priced 8% debenture has a yield to maturity of 8%, so the zero-coupon bond's ₹1,000 payment in two years is discounted at 8% for two years: 1,000 divided by 1.1664.

  1. A₹857Correct
  2. B₹800
  3. C₹926
  4. D₹840

Explanation

Debenture priced at par with 8% coupon has YTM = 8%. Zero-coupon price = 1,000/(1.08)^2 = 1,000/1.1664 = ₹857.3. ₹926 discounts for only one year; ₹840 is not derived from the data.

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