Consider a 3-month forward contract on a zero-coupon bond with a face value of $1,000 that is currently quoted at $500, and assume a risk-free annual interest rate of 6%. Determine the price of the forward contract under the no-arbitrage principle.
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Consider a 3-month forward contract on a zero-coupon bond with a face value of $1,000 that is currently quoted at $500, and assume a risk-free annual interest rate of 6%. Determine the price of the forward contract under the no-arbitrage principle.
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- Assume that a 5-month forward contract on a zero-coupon bond with marketface value of Php5,000 and is currently trading at Php4,777. Suppose thatthe annual risk-free interest rate is 6.28%. Determine the forward contract price under the no-arbitrage principle.Assume that a 5-month forward contract on a zero-coupon bond with marketface value of Php5,000 and is currently trading at Php4,777. Suppose thatthe annual risk-free interest rate is 6.28%, How much is the arbitrage profit?You can enter into a forward contract for a bond with a maturity in one year months that pays a coupon payment of $25 every six months. The bond has a forward price of $930. The current zero coupon rate for 6 months is 4% annually and the zero coupon risk free rate for one year is 5% annually (assume continuous compounding). The current price of the bond is $943. Use the equilibrium forward price equation (F=Sert) adjusted for both coupon payments to see if an arbitrage opportunity exists. If arbitrage is possible, explain the arbitrage opportunity that exists and show how the profit can be earned – make sure to explain every step in detail in realizing the profit and establishing the arbitrage. If arbitrage is not possible, show how you know it is not possible. ANSWER IN TYPING OTHER WISE DOWNVOTE YOU
- Assume that a 6-month forward contract on a zero-coupon bond with market face value of Php12,000 and is currently priced at Php8,000. With an annual risk-free interest rate of 5.0625%, the forward contract price under the no-arbitrage principle is a. Php8,000. b. Php7,794.87. c. Php7,500. d. Php8,200. Let's pretend the forward contract is truly worth Php8,300 instead of the no-arbitrage price determined above. This bond must be delivered 6 months from now due to a short position in the forward contract. In this case, the arbitrage entails borrowing Php8,000 at the risk-free rate of 5.0625%, purchasing the bond for Php8,000, and simultaneously taking a short position in the forward contract on the zero-coupon bond, obligated to deliver the bond for the forward price and receive Php8,300 at the contract's expiration. We can fulfill our forward contract obligations at the settlement date by delivering the zero-coupon bond for payment of Php8,300, regardless of its…If a bond is issued at the price of $10,000 per contract and promises a 5.7% interest every year, the contract will be redeemed by the issuer at a discount after 8 years for $9,200. If the market is offering a return of 4.8% for similar risk securities, what would be the price you are ready to offer for this bond?Compute the Macaulay duration under the following conditions: a. A bond with a four-year term to maturity, a 10% coupon (annual payments), and a market yield of 8%. Do not round intermediate calculations. Round your answer to two decimal places. Assume $1,000 par value. _________ years b. A bond with a four-year term to maturity, a 10% coupon (annual payments), and a market yield of 12%. Do not round intermediate calculations. Round your answer to two decimal places. Assume $1,000 par value. _________ years c. Compare your answers to Parts a and b, and discuss the implications of this for classical immunization. As a market yield increases, the Macaulay duration -(Select:declines/increases) . If the duration of the portfolio from Part a is equal to the desired investment horizon the portfolio from Part b is -(Select: no longer/still) perfectly immunized. Only typed answer
- Suppose that for a Treasury bond futures contract, the cheapest-to-deliver bond is a 4% coupon bond with a quoted price of 114.50 and conversion factor of 1.3150. The futures contract matures in six months and the next coupon will be paid in six months. There is no accrued interest. The six-month risk-free interest rate is 5%. What is the value of the Treasury bond futures contract?A forward contract with 8 months to maturity is written on an underlying share. The market price of the share is $34, and it is expected to pay dividends of $1.40 after 2 months and $2 immediately prior to maturity of the forward. The relevant riskless rate of interest is 4%. Calculate the theoretical forward price and initial value of the forward contract and explain the forward pricing relationship.• When the bond’s coupon rate is less than the bondholder’s required return, the bond’s intrinsic value will be less than its par value, and the bond will trade at . For example, assume Oliver wants to earn a return of 10.50% and is offered the opportunity to purchase a $1,000 par value bond that pays a 8.75% coupon rate (distributed semiannually) with three years remaining to maturity. The following formula can be used to compute the bond’s intrinsic value: Intrinsic ValueIntrinsic Value = = A(1+C)1+A(1+C)2+A(1+C)3+A(1+C)4+A(1+C)5+A(1+C)6+B(1+C)6A1+C1+A1+C2+A1+C3+A1+C4+A1+C5+A1+C6+B1+C6 Complete the following table by identifying the appropriate corresponding variables used in the equation. Unknown Variable Name Variable Value A B $1,000 C Semiannual required return Based on this equation and the data, it is to expect that Oliver’s potential bond investment is currently exhibiting an intrinsic value less than…
- You purchase a bond with a coupon rate of 6.8 percent, a par value $1,000, and a clean price of $910. Assume a par value of $1,000. If the next semiannual coupon payment is due in two months, what is the invoice price? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)Bond B is a 2-year maturity coupon-paying bond with annual coupon of 10 and face value of 110. The yield curve is flat at 4% per year. Consider a forward contract F on one bond B. If the forward F's maturity is 15 months from now, what is the no-arbitrage forward price F0, 15 months? Enter your answer with 2 decimal places after the point.. Assume an organization could issue a zero-coupon bond at an annual interest rate of 4 percent with semiannual compounding for 20 years. If it receives $2,264.45 for the bond, how much would it have to pay at the maturity date? How do you solve for the semi annual payment
