Suppose that the observed spread between the yield on a 4-year zero-coupon riskless bond and the yield on a 4-year zero-coupon bond issued by a corporation is 1.35%. By how much (as a percentage) would the Black-Scholes-Merton model overstate the value of a 4-year European option sold by the corporation?
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Suppose that the observed spread between the yield on a 4-year zero-coupon riskless bond and the yield on a 4-year zero-coupon bond issued by a corporation is 1.35%. By how much (as a percentage) would the Black-Scholes-Merton model overstate the value of a 4-year European option sold by the corporation?
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- Suppose there is a large probability that L will default on its debt. For the purpose of this example, assume that the value of Ls operations is 4 million (the value of its debt plus equity). Assume also that its debt consists of 1-year, zero coupon bonds with a face value of 2 million. Finally, assume that Ls volatility, , is 0.60 and that the risk-free rate rRF is 6%.Consider a convertible bond as follows: par value = $1,000, coupon rate = 8.00%, market price of convertible bond = $1,100, conversion ratio = 18, straight value of bond = $600, yield to maturity of straight bond = 10%, current price of common stock = $45, dividend per share = $3.00/year. A. What is the favorable income differential per bond (not per share)? B. At what stock price, the realized return from investing in the convertible bond becomes zero? In other words, what is the break-even stock price?Given the yield on a 3-year zero-coupon bond is 8.2% and forward rates of 6.3% in Year 1 and 7.1% in Year 2, what must be the forward rate in Year 3?
- Scenario: Suppose Greenback Corporation, an Australian company, issued 10-year bonds with a maturity value of AUD 100 and a coupon rate of 6%. a) What is the estimated bond price if the required rate of return is 4%? b) What is the estimated bond price if the required rate of return is 6%?c) What is the estimated bond price if the required rate of return is 8%?d) What is the estimated bond price if the required rate of return is 10%?e) With regards to the above calculations, describe how the required rate of return affect bond prices.Scenario: Suppose Greenback Corporation, an Australian company, issued 10-year bonds with a maturity value of AUD 100 and a coupon rate of 6%. a) What is the estimated bond price if the required rate of return is 4%? b) What is the estimated bond price if the required rate of return is 6%?c) What is the estimated bond price if the required rate of return is 8%?d) What is the estimated bond price if the required rate of return is 10%?e) With regards to the above calculations, describe how the required rate of return affect bond prices. Give answer fastEven though most corporate bonds in the United States make coupon payments semianually, bonds issued elsewhere often have annual coupon payments. Suppose a German compay issues a bond with a par value of $1,000, 10 years to maturity, and a coupon rate of 6 percent paid annually. If the yield to maturity is 7.1 percent, what is the current price of the bond?
- Suppose that a stock price is currently 56 dollars, and it is known that five months from now, the price will be either 22 percent higher or 22 percent lower. Find the value of a European put option on the stock that expires five months from now, and has a strike price of 55 dollars. Assume that no arbitrage opportunities exist, and a risk-free interest rate of 6 percent.If the current price of a 10-year 4.5% coupon bond which pays semiannually is $96.10, what is its yield to maturity? If you purchased this bond, held it for three years and the yield to maturity fell to 4.75%, what would its new price be? If you then sold the bond what effective rate of return would you have earned on this three-year investment? Assume there are no taxes to considerWithout using the Black‐Scholes model, compute the price of a European put option on a non‐dividend‐paying stock with the strike price is $70 when the stock price is $73, the risk‐free interest rate is 10% pa, the volatility is 40% pa, and the time to maturity is 6 months?
- The price of an American call on a non-dividend-paying stock is $4. The stock price is $31, the strike price is $30, and the expiration date is in 3 months. The risk-free interest rate is 8%. The upper and lower bounds for the price of an American put on the same stock with the same strike price and expiration date is $3.00 and $2.41, respectively. Explain carefully the arbitrage opportunities if the American put price is greater than the calculated upper bound.What is the price of a European put option on a non-dividend paying stock when thestock price is K69, the strike price is K70, the risk-free rate is 5% per annum, thevolatility is 35% per annum, and the time to maturity is 6 months?Assuming semiannual compounding, what is the price of a zero coupon bond with 11 years to maturity paying $1,000 at maturity if the YTM is: 5%? 9%? 13%?