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You observe the following bond prices: - 1 year zero coupon bond with the real par value of $1000 trading for $1030.93 - 2 year

You observe the following bond prices: - 1 year zero coupon bond with the real par value of $1000 trading for $1030.93 - 2 year 2% coupon bond with the real par value of $1000 trading for $1082.68 - 3 year 1.5% coupon bond with the real par value of $1000 trading for $1077.15 What is the 3 year zero-coupon yield? Please note we need ZERO COUPON YIELD FROM COUPON PAYING BOND DATA. PLEASE ALSO EXPLAIN RATIONALE.

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