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A three-year, $1,000, 4%, par value bond with annual coupons sells for $990, a two-year, $1,000, 3% bond with annual coupons sells for $988, and

A three-year, $1,000, 4%, par value bond with annual coupons sells for $990, a two-year, $1,000, 3% bond with annual coupons sells for $988, and a one-year, zero coupon, $1,000 bond sells for $974. Determine the spot rates r1, r2, and r3.

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