Question: You compiled pricing data for two semi-annual coupon payment Treasury bonds (Table 1). Each of the bonds will mature in two years, the Treasury spot

You compiled pricing data for two semi-annual coupon payment Treasury bonds (Table 1). Each of the bonds will mature in two years, the Treasury spot rates are shown in Table 2.

Table 1: Market data for selected bonds

Asset

Coupon

Market price

Bond A

2%

93.348

Bond B

3%

94.494

Table 2: Treasury spot rates

Period

Rates

Six months

3%

One year

4%

One and half year

5%

Two years

6%

1) Calculate the arbitrage-free prices of Bond A and Bond B

2) Which bond will provide an arbitrage opportunity and what is the arbitrage profit?

Next, you want to use the benchmark yield curve provided in Table 3 to identify investment opportunities associated with two annual coupon corporate bonds. The benchmark bonds pay coupons annually and the bonds are priced at par. Table 4 provides the market data of the two corporate bonds.

Table 3: Benchmark Par Curve

Maturity (years)

Yield to Maturity

1

5%

2

6%

3

7%

Table 4: Market data for the corporate bonds

Company

Coupon

Maturity (years)

Market price

X

5.5%

3

96.016

Y

6.5%

3

97.988

3) Calculate the arbitrage-free prices of Bond X and Bond Y.

4) Which bond is mispriced and what is the amount of the mispricing?

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