You 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.
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- An advertisement of an investment firm states that if you invest P500 in their firm today you will get P1,000 at the end of 4,5 years. What nominal rate is implied if interest is compounded quarterly? Determine also the effective rate of interest.Assume that you are preparing an amortization table for a three-year note with a stated and yield rate of 10% and 12%, respectively. Interest is payable every yearend. Which of the choices would be true? a. C4 - D4 = B4 b. E1 - D2 = E2 c. E3 + D3 = E4 d. B5 - D5 = C5Suppose you have a loan of amount P, and you plan to pay off the debt in10 equal annual installments. Suppose the annual compounding rate is r. What is thepresent (t = 0) value of the 7th installment? (Express your answer in terms of thevariables in the problem P and r and simplify your answer.)
- An investor has a principal amount of $P. If he desires a payout (return) of 0.1P each year, how many years will it take to deplete an account that earns 8% per year? 0.1P = P(A/P, 8%,N), so N ∼=21 years. A payout duration table can be constructed for select payout percentages and compound interest rates. Complete the following table. (Note: table entries are years.) Summarize your conclusions about the pattern observed in the shown table.A 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 $2600The 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 PLN
- Derive an equation to find the end-of-year future sum F that is equivalent to a series of n beginning-of-year payments B at interest rate i. Then use the equation to determine the future sum F equivalent to six B payments of $100 at 8% interest.Consider an investment which pays 1.05 times your original payment (which is not returned) after two months. Find the annualised rate of return of this investment. Your answer should be a percentage, but do not enter the 9% sign. For example, it your answer is 75, enter 75. Answer:An investment will pay you $4,611.9 in 3 years if you pay $1,376.68 today. What is the implied rate of return? (Convert to a percent. Round to 2 decimal places.)
- ou can assume that all payments are made at the beginning of the period and use "1" for the "type" argument in the formula. A. Suppose you invest $ 11,400 today. What is the future value of the investment in 29 years, if interest at 7% is compounded annually? B B. Suppose you invest $ 11,400 today. What is the future value of the investment in 29 years, if interest at 7% is compounded quarterly? 4 5 6 27 28 29 C. Suppose you invest St $ 570 monthly. What is the future value of the investment in 29 years, if interest at 5% is compounded monthly? Question 1 Question 2 + Ready Accessibility: Investigate MAR 17 A W +Star.An advertisement of an investment firm states that if you invest P500 in their firm today you will get P2,000 at the end of 10 years. What nominal rate is implied if interest iscompounded quarterly?b) suppose that the market interest rate is 5%. Calculate the present value of the following. Show how your answer is obtained. Calculation using a formula, not using excel. i) A fixed payment loan with annual payments of $163 that matures in three years.