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A 1-year zero-coupon bond trades at price 99, and a 2-year 1.6% coupon bond trades at price 99.2, and a 3-year 2.8% coupon bond trades

A 1-year zero-coupon bond trades at price 99, and a 2-year 1.6% coupon bond trades at price 99.2, and a 3-year 2.8% coupon bond trades at price 99.7. All coupons are assumed to be annually (not semiannually). What is the forward rate from year 1 to year 3?

PLEASE EXPLAIN THE SOLUTION WITH FORMULAS AND CONCEPTS USED, NOT ONLY NUMERICAL CALCULATION

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