Today is period 0, and the length between the periods is one year. In the fixed-income securities
Question:
Today is period 0, and the length between the periods is one year. In the fixed-income securities market you observe following five securities.
Security A: It is a four-year regular coupon bond with an annual coupon payments of $100.00 and a face value of $1,000.00. The next coupon payment is one year from now. Security A can be bought or issued at a price of $945.765 per bond.
Security B: It is a forward contract. The contract matures on period 3, and the forward price is $2,819.064. The security underlying the forward contract matures on period 4 with a face value of $3,000.00. You may go short (sell) or long (buy) on this contract.
Security C: It is an annuity. It pays $1.00 on periods 1, 2, 3, and 4. It can be bought or issued at a price of $3.0779 per one annuity.
Security D: It is a zero-coupon bond. It matures in period 4, and it has a face value of $1,000.00. It can be bought or issued at a price of $X per unit.
Security E: It is a zero-coupon bond. It matures in period 3, and it has a face value of $1,000.00. It can be bought or issued at a price of $Y per unit.
As per the no-arbitrage principle, what is the current theoretical value of Security D? In other words, what is the value X?
A) $673.975
B) $637.975
C) $687.016
D) $1,253.465
E) $685.016
F) $708.425
G) $683.016
Intermediate Accounting
ISBN: 978-0132162302
1st edition
Authors: Elizabeth A. Gordon, Jana S. Raedy, Alexander J. Sannella