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- Suppose that the 9-month and 12-month LIBOR rates are 4% and 4.2%, respectively. What is the value of an FRA where 5% is received and LIBOR is paid on £1 million for the quarterly period? All rates are quarterly compounded and expressed as per annum. Assume that LIBOR is used as the risk-free discount rate. Select one: a. £478.115 b. £422.870 c. £479.062 d. £426.132Which one of the following represents the highest effective interest rate per year? Select one: O a. 10.5% per year, compounded semiannually Ob. 10.4% per year, compounded daily O c. 10% per year, compounded quarterly O d. 10% per year, compounded monthly O e. 9.8% per year, compounded continuouslyA fixed income instrument with a stated annual interest rate of 18% and offers monthly compounding has an effective annual rate (EAR) closest to:A. 18.00%.B. 19.56%. C. 20.12% Use excel
- The 1-year spot rate is 8%p.a. effective. The term structure of 1-year effective forwardratesisasfollows: attimet=1therateis7%,attimet=2therate is 6%, at time t = 3 the rate is 5%. (a) Determine the term structure of spot rates. (b) A fixed income security pays £10 annual coupons and it is redeemed after 4 years for £100. Compute its price at time t = 0.Compute the simple interest INT for the specified length of time and the future value FV at the end of that time (in dollars). Round all answers to the nearest cent. $12,300 is invested for 9 months at 7% per year. INT = $ ___ FV = $ __You have taken alone of $500000 lone over 12years at 6% intrest rate compounded monthly, which is rembursed with montly payment. What is the principal portion of the 23rd payment. Choose correct alternative from given image
- Determine the discount rate assuming the PV of $1080 at the end of 1-year is $980? $9,800 is deposited for 10 years at 6% compounded annually, determine the FV? What will be the present value, if $6,800 is discounted back 4 years at an interest rate of 4% compounded semi-annually?The effective rate of interestis 3.25% per annum. Calculateto 6 sf. (a)The equivalent rate of discount. (b)The equivalent rate of interest calculated monthly (c)The equivalent rate of discountcalculated half yearly. (d)The equivalent force of interest. (e)The present value of £1000 payable in three and a half years. Does it matter which of the above rates we use to calculate this value?Use aspreadsheet to create amortization schedules for the following five scenarios.What happens to the total interest paid under each scenario?a. Scenario 1:Loan amount: $1 millionAnnual rate: 5 percentTerm: 360 monthsPrepayment: $0b. Scenario 2: Same as 1, except annual rate is7 percentc. Scenario 3: Same as 1, except term is 180monthsd. Scenario 4: Same as 1, except prepayment is$250 per monthe. Scenario 5: Same as 1, except loan amount is$125,000
- Imagine you borrow $560 from your roommate, agreeing to pay her back $560 plus 8 percent nominal interest in one year. Assume inflation over the life of the contract is expected to be 4.00 percent. What is the total dollar amount you will have to pay her back in a year? What percentage of the interest payment is the result of the real rate of interest? (Do not round intermediate calculations. Round answers to 2 decimal places, e.g. 17.54 or 17.54%.) Excol TompletoSuppose you take a 3/1 interest - only, 30-year ARM for $140,000.00 with an interest - only contract rate of 5% and a following rate of 7% in year 4. Assume you pay 1 discount points. Suppose that the contract rate in year 5 is 7.25% and this contract rate stays constant from years 5 through 30. What is the APR?Suppose that an investment promises to pay a nominal 9.6 percent annual rate of interest. What is the effective annual interest rate on this investment assuming that interest is compounded (a) annually? (b) semiannually? (c) quarterly? (d) monthly? (e) daily (365 days)? (f ) continuously? (Note: Report your answers accurate to four decimal places –e.g., 0.0987 or 9.87%.)
