Question: Is the following statement true or false? Briefly explain using bond price equations: When the yield curve is flat, all zero - coupon and coupon

Is the following statement true or false? Briefly explain using bond price equations:
When the yield curve is flat, all zero-coupon and coupon-paying bonds will have the same yield, independent of their maturities and coupon rates. (DO NOT USE AI OR CHATGPT ELSE I WILL DOWNVOTE)

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