Consider a 15-year semiannual floating rate bond with coupon rate determined with the following formula: Coupon rate = reference rate + 65bps What’s the discount margin of the bond if the bond price is 99.5730 and current reference rate is 9%?

You have decided to invest in Bond x, an n-year bond with semi-annual coupons and the following characteristics: Par value is 1000 The ratio of the semi - annual coupon rate to the desired semi- annual yield rate, is 1.03125. The present value of the redemption value is 381.5. Given v=0.5889, what is the price of bond x ? A) 1,055 B) 1,072 C ) 1,073 D) 1,069 E) 1,044

Suppose the interest rate on a 1-year T-bond is 5.00% and that on a 2-year T-bond is 6.40%. Assume that the pure expectations theory is NOT valid, and the MRP is zero for a 1-year T-bond but 0.40% for a 2-year bond. What is the yield on a 1-year T-bond expected to be one year from now?

Suppose the current price of the bond is $95, the YTM is 4%, and the duration of the bond is 9. If YTM decrease from 4% to 3.9%, approximate the change in price using duration of the bond. Price would increase by  ____%

What are the Modified Duration and Macaulay Duration of the following bond? Coupon Rate = 8% (Semi-annually paid) YTM = 9% Maturity = 2 Years Par Value = 1,000 (Hint: this question is similar to Example 1 and Example 2 on slides) ModD = 1.886 and MacD = 1.805 ModD = 1.784 and MacD = 1.954 ModD = 1.954 and MacD = 1.784 ModD = 1.805 and MacD = 1.886

What is the current value of a 30-year bond making semi-annual coupon payments that has a face value of $1,000 and a coupon rate of 8%, if the YTM is 4%, how much does the bond currently sell for? Does the bond sell at a discount, premium, or at face value? Reference the below formulas when solving the problem above: PV = FV / (1+r)^t FV = PV(1+r)^t FVA = PMT(((1+r)^t) -1) / r FVA = PMT((1+(r/12)^t(12))-1)/(r/12) PVA = PMT(((1-(1+r)^-t) / r)) PVA = PMT((1-(1+(r/12))^-t(12)))/(r/12) Bo = PMT ((1-(1+r/2)^-t(2))) / r/2 + FV / (1+r/2)^t(2)

4. (i) A forward contract written on a bond has 10 months remaining until maturity. The face value of the bond is $1000, and it pays a 7% coupon every 6 months. The final coupon is due immediately prior to the maturity of the forward. The relevant riskless rate of interest is 5%. If the bond is trading at $1025, calculate the theoretical forward price and initial value of the forward contract and explain the forward pricing relationship. (ii) Provide numerical examples of arbitrage strategies for situations where a broker offers a price above, and below the theoretical forward price.

If the YTM on a bond is 11.1 %, what will be the periodic rate assuming the bond is paying coupons semi-annually? (Write this number as a decimal and not as a percentage, e.g. 0.11 not 11%. Round your answer to three decimal places. For example 1.23450 or 1.23463 will be rounded to 1.235 while 1.23448 will be rounded to 1,234).