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Explain what a yield curve is. What are the different shapes of the yield curve that have been observed historically and under what market

Explain what a yield curve is. What are the different shapes of the yield curve that have been observed historically and under what market conditions do we observe them? What are the two types of non- parallel shifts associated with the yield curve? Please draw graphs to accompany your answers. Explain what the yield to maturity (YTM) is. What are its two main assumptions and how is YTM related to the coupon?

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