Suppose that the 18-month and 24-month risk-free rates are 4.75% and 5% with semiannual compounding. What is the value of an FRA according to which the holder pays 7% (semiannually compounded) for a 6-month period beginning in 18 months and receives LIBOR on $10 million? The current forward LIBOR rate for this period is 6% (semiannually compounded). (Round your answer to the second decimal places, e.g. 1234.56)
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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. £426.132Suppose the 1-year and 2-year OIS rates are 2% and 4%, respectively. Consider an OISswap with two years to maturity where you receive 3% and pay the floating reference ratewith principal 1 million. If the payments are made annually with annual compounding, what is the value of the swapYou enter in a long position in a 6x12 FRA at a LIBOR rate of 3.00% and a nominal value of $10M. (a) When does this FRA expire in months? (b) Suppose, at maturity, the 6-month LIBOR rate is 3.5%. What is your payoff on that FRA? Note you should calculate this value at the maturity of the FRA, which is month 6.
- A KIMEP BANK quotes you and interest rate of 12,5% per annum with semiannual compounding. What is the equivalent rate with annual compounding and continuous compounding? Choose the right answer: a. The rate with annual compounding is 12.89% and the rate with continuous compounding is 12.12% b. The rate with annual compounding is 12.12% and the rate with continuous compounding is 9.57% c. The rate with annual compounding is 10.28% and the rate with continuous compounding is 12.89% d. The rate with annual compounding is 10.38% and the rate with continuous compounding is 12.12%You purchase a three-month discount security (e.g., a Treasury bill or commercial paper) for $0.9878 on $1 (i.e., $98,780 for $100,000 face amount). What are the discount yield, the simple annual yield, and the annual compound yield earned by the investment?Define the stated (quoted) or nominal rate INOM as well as the periodic rate IPER. Will the future value be larger or smaller if we compound an initial amount more often than annually—for example, every 6 months, or semiannually—holding the stated interest rate constant? Why? What is the future value of $100 after 5 years under 12% annual compounding? Semiannual compounding? Quarterly compounding? Monthly compounding? Daily compounding? What is the effective annual rate (EAR or EFF%)? What is the EFF% for a nominal rate of 12%, compounded semiannually? Compounded quarterly? Compounded monthly? Compounded daily?
- (1) What is the value at the end of Year 3 of the following cash flow stream if the quoted interest rate is 10%, compounded semiannually? (2) What is the PV of the same stream? (3) Is the stream an annuity? (4) An important rule is that you should never show a nominal rate on a time line or use it in calculations unless what condition holds? (Hint: Think of annual compounding, when INOM = EFF% = IPER.) What would be wrong with your answers to parts (1) and (2) if you used the nominal rate of 10% rather than the periodic rate, INOM/2 = 10%/2 = 5%?Your client is invested in a registered indexed-linked annuity (RILA). The RILA contains a 7% floor, an 80% participation rate, and an overall cap rate of 10%. Suppose in years one and two, the S&P 500 returns 12% and -10%, respectively. What interest rate would be credited to the RILA during these two years? A) Year 1: 10% / Year 2: -7% B) Year 1: 9.6% / Year 2: -7% C) Year 1: 9.6% / Year 2: -3% D) Year 1: 9.6% / Year 2: -10%Finance Assuming we have the following immediate interest rates in the market: 1M - 2.5%, 2M - 2.8%, 3M - 3%, calculate the FRA 1v2 rate. Assume that each month has 30 days and a year has 360 days. If the investor has purchased this contract at the FRA rate calculated above and the interest rate in the market at the time the contract is settled is 3.2%, then in which direction the settlement flows (between the buyer and seller of the contract)? (please use the formula to solve it, thank you)
- Consider a future value of $2,000, 8 years in the future. Assume that the nominal interest rate is 18.00%. Assume that there is semiannual compounding. Entering PMT=0 and a FV=$2,000 into a financial calculator, along with the appropriate periodic interest rate and value of N, yields a present value of approximately $ with semiannual compounding. Assume that there is quarterly compounding. Entering PMT=0 and a FV=$2,000 into a financial calculator, along with the appropriate periodic interest rate and value of N, yields a present value of approximately $ with quarterly compounding. Suppose now that the cash flow of $2,000 occurs only 1 year in the future. Assume that there is monthly compounding. Entering PMT=0 and a FV=$2,000 into a financial calculator, along with the appropriate periodic interest rate and value of N, yields a present value of approximately $ with monthly compounding.The current price of the underlying instrument is 1000 PLN. In a year (right after the expiry of the forward contract) this instrument will bring a dividend of PLN 70. In half a year the investor should bear the cost of storage of this instrument in the amount of PLN 50. If the current semi-annual interest rate is 4% (continuous interest rate) and the current annual interest rate is 5% (continuous interest rate), what should be the current forward price of this contract with time to maturity 1 year? O a. 1072.30 PLN O b. 1032.79 PLN O c. 1102.82 PLN O d. 1101.80 PLNA payment stream consists of a payment of $1600 today, a payment of $2400 in 3 months, and a payment of $2600 in 21 months. What is the fair market value of this payment stream 18 months from today? Assume a compound interest rate of 6.5% compounded quarterly. Today + $1600 FV1 = $ PV3 = $ Start by calculating the following values on the time diagram: FV2 = $ 3 Months The fair market value of this payment stream is: Total = $ Time Value of Money Solver $2400 Enter the given values. 0 N: = 0 Number of Payment Periods 1:% = 0 Annual Interest Rate as a Percent PV: = Present Value PMT: = 0 Payment FV: = Future Value P/Y: 0 12 V Payments per Year C/Y: 12 V Compounding Periods per Year PMT: = END € Solve Solve Solve Solve 18 Months Solve FV2 FV1 + PV3 Total 21 Months $2600