Consider the following three bonds (see Table 1), which all have a par value of $100 and pay coupons semiannually if the coupon rate is not zero. What is the 6.5-year spot rate on a BEY basis? Bond Coupon Rate Price Maturity(yrs) A 106 3 6 75 B 0 6 115 C 4 6.5
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- 2. 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%?please explain itConsider a bond with semiannual interest payments that has a Settlement Date of 8/15/2020, a Maturity Date of 2/15/2031, a Coupon Rate of 5.00%, a Market Price of $975, a Face Value of $1,000, and a Required Return of 5.35%. What is the Macaulay Duration using the Duration function on these bonds expressed as a decimal calculated to two decimal places if you purchase them at the current market price? For example, if your answer is 12.345 then enter as 12.35 in the answer
- The one-year spot rate z1 = 5% and the forward price for a one-year zero-coupon bond beginning in one year is 0.9346. Find the spot price (zero price) of a two-year zero-coupon bond.The prices of zero-coupon bonds with various maturities are given: maturity in years price 1 975.66 2 885.89 3 821.92 4 759.20 5 670.20 A) How could you construct a 1-year forward loan beginning in year 3? face value = ? rate of synthetic loan = ? B) How could you construct a 1-year forward loan beginning in year 4? face value = ? rate of synthetic loan = ?There are three bonds that mature at the same time, have the same par value, and are expected to pay their first annual coupon 1 next year. The bonds are detailed in the below table. Bond A B с PV PV PV Present Value B ? ? ? PV B If ca r, then what can we say about the prices of the bonds today? (Enter >, <, or ?) PV C PV Yield to Maturity C r rb Coupon Rate ca с с
- Suppose you observe the following zero - coupon bond prices per $1 of maturity payment: 0.96154 (1-year), 0.91573 (2-year), 0.87630(3-year), 0.82270 (4- year), 0.77611 (5-year). What is the par coupon rate for the 4-year bond? Question 3 options: 3.999834% 4.488965% 4.492350 % 4.957679 % 5.144082%Consider information on the following bonds (with face value 100): Bond Maturity (years) Coupon rate Yield-to-maturity А 1 0% 5.0% В 2 5% 5.5% C 3 6% 6.0% Coupons are paid annually. What is the three-year spot interest rate?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)
- Consider the following pure discount bonds with face value $1,000: Maturity Price 1 952.38 2 898.47 3 847.62 4 799.64 5 754.38 a). Find the spot rates and draw a yield curve.b). Assume that there is a constant liquidty premium that is equal to 1% across all maturities. Find the forward rates and the expected one period future interest rates.The Expectations theory suggests that under certain conditions all bonds outstanding, especially Treasury bonds, must have identical total returns over a 1-year holding period, independently of their final maturity. suppose that today’s interest rate on a 2-year default free zero-coupon Treasury bond that pays $100 at maturity (0i0,2) is 6%. What is today’s price of such a bond (that is, what would you pay to purchase such a bond)?What is the reat risk free rate on these financial accounting question?