Price a 1 year forward, with continuous compounding risk free rate of 5%, spot price of $1 and a dividend of $0.10 after 6 months. The price is O 0.95 1.05 0.93 O 1.75
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- 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 = 0.3. The 1-year spot rate is 8%p.a. effective. The term structure of 1-year effective forward rates is as follows: at time t = 1 the rate is 7%, at time t = 2 the rate 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.Use the following spot rates to answer the following questions. Maturity Spot rate (%) 1 year 4.93% 2-years 4.47% 3-years 4.12% 5-years 3.84% 10-years 3.68% Assume that Citibank is offering to sell a one-year Treasury bill next year with a rate of 5% (i.e., you can enter into a contract today to lock in a 5% return on a one-year security purchased/sold next year). Based on the above spot rates, does the Citibank offer generate any arbitrage opportunities? If so, compute the total $ profits that can be generated from this opportunity, specifying the steps you would take. Assume you will borrow/invest $1,000. O Yes: profit of $5.55/ $1000 borrowed. O No: $0 O No: Loss of $5.55/ $1000 borrowed.based on Citibank's offered rate. O Yes: $55.55/$1000 borrowed.
- Given an interest rate of 8.5 percent per year, what is the value at date t = 8 of a perpetual stream of $1,900 payments with the first payment at date t=14? Multiple Choice O $13,701.13 O $14,865.72 O $15,163.04 $22,452.94 $14,568.41A 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 $2600help
- What is the price of a European CALL option that is expected to pay a dividend of $2 in three months with the following parameters? s0 = $40d = $2 in 3 monthsk = $42 r = 10%sigma = 20%T = 0.5 years (required precision 0.01 +/- 0.01)▪ Assume a $100,000 3/1 hybrid with a 30-year maturity and an initial rate of 6 percent. 1. Calculate the payments for the first three years. 2. If the ARM rate has risen to 6.5% at the end of three years, what would be the new payment?еВook An investment will pay $50 at the end of each of the next 3 years, $250 at the end of Year 4, $400 at the end of Year 5, and $500 at the end of Year 6. If other investments of equal risk earn 12% annually, what is its present value? Its future value? Do not round intermediate calculations. Round your answers to the nearest cent. Present value: $ Future value: $
- If $3000.00 is invested for seven years and seven months at 6% p.a. compounded quarterly, calculate the maturity value. Question 11 options: A) $4712.57 B) $4882.57 C) $4745.43 D) $3776.32 E) $3763.18Solve the following problem using the present worth analysis for an interest rate of 8%. Alt. A Alt. B Alt. B Initial cost $1,700 $2,100$3,750 Benefit/year 1,000 |1,000 1,000 Life in years|2 3 6Determine the present value P you must invest to have the future value A at simple interest rate r after time t. A = $7000.00, r = 15.0%, t = 39 weeks $ (Round to the nearest cent.)