Assume that today is the 31st of December 2021. There are two Treasury coupon bonds traded in the market. Their face val
Posted: Wed May 04, 2022 4:16 pm
Assume that today is the 31st of December 2021. There are two
Treasury coupon bonds traded in the market. Their face values are
1,000. The coupon payments are annual, at the end of each year. The
columns of the table give the coupon rate, the maturity date, and
the price (after the coupon was paid on the 31st of December).
Bond
Coupon
Maturity
Price
A
14.25%
31/12/22
1089.84
B
6.25%
31/12/23
1008.44
a) Find their yield-to-maturities (YTM)
b) By the law of one price, what should be a price of a Treasury
bond C with a maturity 31/12/22, coupon rate 10% and face value of
1,000?
c) A price of a Treasury bond D with a maturity 31/12/23, a
coupon rate of 6.4% and face value of 1,000 is 1005. Is there an
arbitrage opportunity? Please explain. If yes, how will you use
this opportunity?
Treasury coupon bonds traded in the market. Their face values are
1,000. The coupon payments are annual, at the end of each year. The
columns of the table give the coupon rate, the maturity date, and
the price (after the coupon was paid on the 31st of December).
Bond
Coupon
Maturity
Price
A
14.25%
31/12/22
1089.84
B
6.25%
31/12/23
1008.44
a) Find their yield-to-maturities (YTM)
b) By the law of one price, what should be a price of a Treasury
bond C with a maturity 31/12/22, coupon rate 10% and face value of
1,000?
c) A price of a Treasury bond D with a maturity 31/12/23, a
coupon rate of 6.4% and face value of 1,000 is 1005. Is there an
arbitrage opportunity? Please explain. If yes, how will you use
this opportunity?