Maturity (years) Price (per $1,000 face value) S904 87 $970 76 $939 38 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 $1,181.95. Is there an arbitrage opportunity? if so, show specifically how you would take advantage of this opportunity. If not, why not? Is there an arbitrage opportunity? (Select the best choice below) OA No OB. Yes OC. Not enough information How would you take advantage of the arbitrage opportunity? (Select from the drop-down menus ) Buy coupon bond(s), sell short one-year Zero(s), sell short two-year Zero(s), and sell short three-year Zero(s) This would resut in a net profit of S Round to the nearest cent)

Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Eugene F. Brigham, Phillip R. Daves
Chapter4: Bond Valuation
Section: Chapter Questions
Problem 23P
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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)
Price (per $1,000 face value)
1
2
3
$970.76
$939.38
$904.87
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 $1,181.95. Is there an arbitrage opportunity? If so, show specifically how you would take advantage of this opportunity. If not, why not?
Is there an arbitrage opportunity? (Select the best choice below.)
O A. No
О В. Үes
OC. Not enough information.
How would you take advantage of the arbitrage opportunity? (Select from the drop-down menus.)
Buy
V coupon bond(s), sell short
V one-year Zero(s), sell short
two-year Zero(s), and sell short
three-year Zero(s).
This would result in a net profit of $
(Round to the nearest cent.)
Transcribed Image Text:Prices of zero-coupon, default-free securities with face values of $1,000 are summarized in the following table: Maturity (years) Price (per $1,000 face value) 1 2 3 $970.76 $939.38 $904.87 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 $1,181.95. Is there an arbitrage opportunity? If so, show specifically how you would take advantage of this opportunity. If not, why not? Is there an arbitrage opportunity? (Select the best choice below.) O A. No О В. Үes OC. Not enough information. How would you take advantage of the arbitrage opportunity? (Select from the drop-down menus.) Buy V coupon bond(s), sell short V one-year Zero(s), sell short two-year Zero(s), and sell short three-year Zero(s). This would result in a net profit of $ (Round to the nearest cent.)
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