Answer:
the expected yield to maturity for bond C in 1 year :
1.0799³ = 1.06 x (1 + r)²
1.188 = (1 + r)²
√1.188 = √(1 + r)²
1.08999 = 1 + r
r = 0.08999 = 9%
the yield to maturity of zero-coupon bonds = (future value / present value)¹/ⁿ - 1
0.09 + 1 = ($1,000 / value in 1 year)¹/²
1.09 = ($1,000 / value in 1 year)¹/²
1.09² = $1,000 / value in 1 year
value in 1 year = $1,000 / 1.09² = $1,000 / 1.1881 = $841.68 ≈ $842
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