The 6-month zero rate is 8% per annum with semi-annual compounding. Currently, a one-year bond with a
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Question:
The 6-month zero rate is 8% per annum with semi-annual compounding. Currently, a one-year bond with a 10% per annum coupon is trading at 96, with a par value of 100. The coupon is paid semi-annually.
Part I.
Determine the one-year zero rate in terms of semi-annual compounding.
(4 marks)
Part II.
Calculate the forward rate (using semi-annual compounding) from 6-months to 1-year, inferred from today's zero rate curve.
(3 marks)
Part III.
Six months later, immediately following the coupon payment, the market's 6-month zero rate experiences a 50bps (0.5%) decrease. Calculate the fair price of the bond in this scenario. Please provide your calculations.
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