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- V5. Suppose that some time ago a financial institution agreed to receive 6-month LIBOR and pay 4% per annum (with semi-annual compounding) on a notional principal of $200 million. The swap has a remaining life of 1.25 years; assume that the payments are to be exchanged every 6 months. The LIBOR rates with continuous compounding for 3-month, 9-month, and 15-month maturities are 3.8%, 4.2%, and 4.4%, respectively. The 6-month LIBOR rate at the last payment date was 3.9% (with semiannual compounding). Suppose that the day count convention is ignored. Calculate the current value of the swap (in terms of bond prices) to the financial institution.6. Consider a credit default swap initiated on April 1, 2012. The notional principal amount is $100 million. The premium payments are made annually at a rate of 180 basis points per year. The swap will last for 5 years. Suppose that default event occurs on December 31, 2014. The recovery rate is 65%. Then the accrual payment is equal to ___________. a. $0b. $1,200,000c. $1,350,000d. $4,400,000e. $35,000,000pm.4 Desert Trading Company has issued $100 million worth of long-term bonds at a fixed rate of 11%. The firm then enters into an interest rate swap where it pays SOFR and receives a fixed 6.4% on notional principal of $100 million. What is the firm’s effective interest rate on its borrowing?
- Question 3.2 Cadbury Limited has a public traded debt (debentures) with a face value of R3 million. The coupon rate of the debenture is 8% and the current market interest rate is 11%. The debenture has 7 years to maturity. Calculate the present value of the debenture after 7 yearsNote that: the coupon rate will give a yearly interest amount of = 8% X R3million= R240 000The current market interest (i) is used to calculate the present factor and formula is present factor= 1/(1+i)n round off the answer four decimal placesQ. Emmar Industries borrows $800 million at an interest rate of 7.6%. Emmar will pay tax at an effective rate of 35%. What is the present value of interest tax shields if?(a.) It expects to maintain this debt level into the far future?(b.) It expects to repay the debt at the end of 5 years?(c.) It expects to maintain a constant debt ratio once it borrows the $800 million and rassets =10%?DO not Answer Question 1-6, Only below question A-C needed. 21. Consider the following balance sheet (in millions) for an FI: Assets Liabilities Duration = 10 years $950 Duration = 2 years $860 Equity $90 What is the FI's duration gap? What is the FI's interest rate risk exposure? How can the FI use futures and forward contracts to put on a macrohedge? What is the impact on the FI's equity value if the relative change in interest rates is an increase of 1 percent? That is, DR/(1+R) = 0.01. Suppose that the FI in part (c) macrohedges using Treasury bond futures that are currently priced at 96. What is the impact on the FI's futures position if the relative change in all interest rates is an increase of 1 percent? That is, DR/(1+R) = 0.01. Assume that the deliverable Treasury bond has a duration of nine years. If the FI…
- Question 4: Chapter 1 On 1 October 20X3, Shanghai issued $10 million convertible loan notes which carry a coupon rate of 5% per annum. The loan notes are redeemable on 30 September 20X6 at par for cash or can be exchanged for equity shares. A similar loan note, without the conversion option, would have required Shanghai to pay an interest rate of 8%. (1) What is the amount that will be recognized as finance costs for the year ended 30 September 20X4. (2) What is the amount that should be shown under liabilities at 30 Sep 20X4. (3) How much would be recorded in equity in relation to the loan notes? Show your workings and round your answers to 2 decimals.Question three Cadbury Limited has a public traded debt (debentures) with a face value of R3 million. The coupon rate of the debenture is 8% and the current market interest rate is 11%. The debenture has 7 years to maturity. Calculate the present value of the debenture after 7 yearsNote that: the coupon rate will give a yearly interest amount of = 8% X R3million= R240 000The current market interest (i) is used to calculate the present factor and formula is present factor= 1/(1+i)n round off the answer four decimal placesMf2. 8. Calculate the semi-annual rate convertible monthly, from 38% convertible semi-annually. 9. To pay for a certain item with a value of $5,000, 3 payments were agreed: a 30% down payment, a second payment per month, and a third payment of $1,700 at 3 months. What is the value of the second payment with 42% interest? 12. What instantaneous rate is equivalent to a rate of 28% convertible monthly?
- Problem 3 Linz Styles Coupon Rate (RWJJ Ch. 20, Q5) Linz Stylers intends to issue perpetual callable bonds with annual coupon payments. The bonds are callable at $1,250. One-year interest rates are 11 percent. There is a 60 percent probability that long-term interest rates one year from today will be 13 percent, and a 40 percent probability that long-term interest rates will be 9 percent or even lower. Assume that if interest rates fall, the fall will be sufficient for the bonds to be called. What coupon rate should the bonds have in order to sell at par value?Question 10 Bridgeside Capital issues 40-year bonds for a service expansion project. The company currently sells them on the market for R835 at an interest rate of 12% that is paid once every three months. If the bonds’ par value is R1 000 and matures in 40 years, what should the coupon rate be on the bonds? 1. 2,50% 2. 4,21% 3. 8,73% 4. 10,00%Q6. Consider an asset with a current market value of $400,000 and a duration of 5 years. Assume the asset is partially funded through a zero-coupon bond with a maturity (principal) value of $360,000 and has a maturity of 5 years. The current market rate is 6% and interest rates are expected to increase by 1%. Which of the following statements is true? The current equity value of the position is $661,976 and if interest rates increase the equity value will decrease. The current equity value of the position is $861,876 and if interest rates increase the equity value will increase. The current equity value of the position is $450,000 and if interest rates increase the equity value will remain unchanged. The current equity value of the position is $130,987 and if interest rates increase the equity value will decrease. The current equity value of the position is $40,000 and if interest rates increase the equity value will decrease.