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The industry standard of reporting the yield - to - maturity ( YTM ) of bonds is as follows: Annual coupons: the YTM is an

The industry standard of reporting the yield-to-maturity (YTM) of bonds is as follows:
Annual coupons: the YTM is an EAR/EFF, and needs no rate conversion. (You have annual periods and annual cashflows, and the EAR/EFF is the proper rate to compound/discount those.)
Semi-annual coupons: the YTM is an APR with semi-annual compounding, and you convert to the semi-annual rate by taking the YTM/2.(You have semi-annual periods, and semi-annual cashflows, and the YTM/2 is the proper periodic rate to compound/discount those.)
But remember: an APR ignores compounding. So the stated YTM of a semi-annual coupon bond is NOT what you will actually earn on that bond. Consider the following:
Bond A has semi-annual coupons of $30,10 years to maturity, and a YTM of 6%.
Bond B has annual coupons of $60, and 10 years to maturity. What must be the price of Bond B in order for it to have the same compounded yield as Bond A?
To answer this, solve for the EAR/EFF of Bond A, then use that to solve for the price of Bond B.

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