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Question 1. Zero coupon yields for maturities of 1-3 are y1 = 5%, y2 = 6.75%, y3 = 6%. Find the one-year forward rates f1

Question 1. Zero coupon yields for maturities of 1-3 are y1 = 5%, y2 = 6.75%, y3 = 6%. Find the one-year forward rates f1 (the one-year rate from year 1 to year 2) and f2 (the one-year rate from year 2 to year 3).
Zero coupon yields Forward rates
y1 5.00% f1
y2 6.75% f2
y3 6.00%
Question 2. Recall that the par yield is the coupon rate that ensures that a bond sells at par. Using the zero coupon yields given in Question 14, find the par yield for a maturity of 3 years. (Hint: use Goal Seek)
Zero coupon yields Years
Face value of 3-year bond: $100.00 y1 5.00% 1 2 3
Par yield y2 6.75% Cash flows Sum
Gap $100.00 y3 6.00% Discounted cash flows

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