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. Assume that the continuously-compounded spot yield curve is as follows: r(0,0.5) = 1.2%, r(0,1) = 1.6%, r(0,1.5) = 2%, r(0,2) = 2.2%. Use the

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. Assume that the continuously-compounded spot yield curve is as follows: r(0,0.5) = 1.2%, r(0,1) = 1.6%, r(0,1.5) = 2%, r(0,2) = 2.2%. Use the fitted Ho-Lee tree to calculate the price of a two-year, at-the-money cap with semi- annual payments, and a notional of $100. Moreover, calculate the price of a two-year, at- the-money floor with semi-annual payments, and a notional of $100. Comment on the relationship between the cap and floor price. (Note: the strike rate of an at-the- money cap/floor is equal to the swap rate.) . Assume that the continuously-compounded spot yield curve is as follows: r(0,0.5) = 1.2%, r(0,1) = 1.6%, r(0,1.5) = 2%, r(0,2) = 2.2%. Use the fitted Ho-Lee tree to calculate the price of a two-year, at-the-money cap with semi- annual payments, and a notional of $100. Moreover, calculate the price of a two-year, at- the-money floor with semi-annual payments, and a notional of $100. Comment on the relationship between the cap and floor price. (Note: the strike rate of an at-the- money cap/floor is equal to the swap rate.)

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