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Prices of zero-coupon, default-free securities with face values of $1,000 are summarized in the following table: Maturity (years) 1 2 3 Price (per $1,000 face

Prices of zero-coupon, default-free securities with face values of $1,000 are summarized in the following table:

Maturity (years)

1

2

3

Price (per $1,000 face value)

$969.49

$938.14

$906.67

Suppose you observe that a three-year, default-free security with an annual coupon rate of 10% and a face value of $1,000 has a price today of $1,185.46. Is there an arbitrage opportunity? If so, show specifically how you would take advantage of this opportunity. If not, why not?

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