Exercise 22.4.2 Assume continuous compounding. Justify the following claims. (1) If the forward rate curve should be

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Exercise 22.4.2 Assume continuous compounding. Justify the following claims.

(1) If the forward rate curve should be a continuous function, a quadratic spline is the lowest-order spline that can fit the discount function. (2) If the forward rate curve should be continuously differentiable, a spline of at least cubic order is needed for the same purpose.

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