round the following information: Government bonds: \table [[Maturity, Yield], [1,1% round the following information: Government bonds: Maturity Yield 1 1% 2 2.2% 3 3% 4 5% BB Bonds: Maturity Yield 1 6% 2 8% 3 11% 4 17% Draw the credit spread curve. If you know that the market is assuming a constant recovery rate for all maturities, What must be their assumption for the probability of default?
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- You are given the following data: Real Risk-Free Rate 4% Constant inflation premium 7% Maturity risk premium 1% Default risk premium for AAA bonds 3% Liquidity premium for long term T bonds 2% Assume that a highly liquid market does not exist for long term bonds, and the expected rate of inflation is constant. Given these conditions: a. nominal risk-free rate for T bills is? b. the rate of the long term treasury bonds is?You are given the following prices and cash flows associated with bonds. CF stands for cash flow. Bond Price Today CF Year 1 CF Year 2 CF Year 3 A 105.185 10 10 110 B 90.371 100 0 0 C 91.784 5 105 0 D X 15 15 115 What is the current price of Bond D as per the no-arbitrage principle? In other words, what is the value of X?Calculating the risk premium on bonds The text presents a formula where (1+1) = (1-p)(1 +i+x) + p(0) where i is the nominal interest rate on a riskless bond x is the risk premium p is the probability of default (bankruptcy) If the probability of bankruptcy is zero, the rate of interest on the risky bond is When the nominal interest rate for a risky borrower is 8% and the nominal policy rate of interest is 3%, the probability of bankruptcy is %. (Round your response to two decimal places.) When the probability of bankruptcy is 6% and the nominal policy rate of interest is 4%, the nominal interest rate for a risky borrower is %. (Round your response to two decimal places.) When the probability of bankruptcy is 11% and the nominal policy rate of interest is 4%, the nominal interest rate for a risky borrower is %. (Round your response to two decimal places.) The formula assumes that payment upon default is zero. In fact, it is often positive. How would you change the formula in this case?…
- Suppose that y is the yield on a perpetual government bond that pays interest at the rate of $1 per annum. Assume that y is expressed with simply com- pounding, that interest is paid annually on the bond, and that y follows the process dy = a(y0 −y)dt + oydWt, where a, y0, and o are positive constants and dWt is a Wiener process. (a) What is the process followed by the bond price? (b) What is the expected instantaneous return (including interest and capital gains) to the holder of the bond?The following data are gathered for: · The real risk-free rate is 1.25% · Inflation premium is constant at 2.50% · Default risk premium is 5% · Liquidity risk premium is 0.50% What is the quoted rate on a short-term government security? (Format: X.XX%)The following information about bonds A, B, C, and D are given. Assume that bond prices admit noarbitrage opportunities. What is the convexity of Bond D?Cash Flow at the end ofBond Price Year 1 Year 2 Year 3A 91 100 0 0B 86 0 100 0C 78 0 0 100D ? 5 5 105
- 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.T/F a. According to Expectation theory, long-term rates are geometric average of current and expected short-term rates. b. The swap curve usès on-the-run prices at plot points. C. When a bond is traded, the seller owes the buyer accrued interest. d. Higher inflation rates lead to higher required interest rates. e. If prices increase, then velocity and/or quantities decrease. f. Quantitative easing adds liquidity when the federal funds rate is negative. g. Bonds may trade in advance of Treasury auction. h. Off the run bonds are the most recently auctioned off for a given initial maturity. i. The yield curve never uses the on-the-run Treasuries. j. If the yield curve in upward sloping, investors expect lower inflation or real rates.As bonds approach their maturity dates, www A. prices will approach their par values. OB. the risk of a call will increase. OC. premiums or discounts will increase. O D. the bonds' prices will become more sensitive to changes in interest rates.
- The time value of money is used in calculating bond prices because: Group of answer choices A - The company might choose to repay the bonds prior to their maturity date B - Bond investors receive future payments and purchase bonds with current dollars C - The amount to be repaid at maturity will change as market rates change D - Cash interest payments to bondholders will change as market rates changeGive typing answer with explanation and conclusion Consider the prevailing condition of inflation (including changes in global oil price), the economy, budget deficit, decreases in expected remittance inflow, and the central bank monetary policy that could affect interest rate. Based on the prevailing conditions do you think bond price will increase or decreases in next six-month period. In the real economic environment which other factors may affect the bond price? Which factor in your opinion will have biggest impact on bond price? Assess the above given situations.This first table describes prevailing market interest rates. Market Data Yield 0.05 Required: Using the yield above and the information contained in the table below, please calculate the price and duration of the bond as well as all necessary steps. (Use cells A5 to B5 from the given information to complete this question.) Time Until Payment Payment Discounted Payment Weight Time × Weight 1.00 $30.00 2.00 $30.00 3.00 $30.00 4.00 $1,030.00 Price: Duration