Question: Problem #5: The function s ( t ) = 0.13 0.06 e t / 4 provides the term structure of effective annual rates of zero

Problem #5:

The function s(t) = 0.13 0.06e^t/4 provides the term structure of effective annual rates of zero coupon bonds of maturity t, with t in years. Find the following:

(a)

The effective annual rate of a 3 year zero coupon bond.

(b)

The 2-year forward effective annual rate for a one year period.

(c)

The forward effective annual rate for a one year period, 3 years forward.

(d)

The 3-year forward effective annual rate for a 3 month period.

(e)

The forward effective annual rate for a one day period, 3 years forward (the overnight rate). (Use 1/365 for a one-day period.)

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