Given the following information, use two different methods to calculate the present value of a tonne of coal to be received one year from now: Money rate of interest: Expected rate of general price inflation: 8% per annum 6% per annum Expected rate of increase in the price 2% per of coal: Current price of coal: annum $25 per tonne
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- Suppose natural gas experiences a 1.8% increase per year in real terms over the foreseeable future. The cost of a 1,000 cubic feet of natural gas is now $7.50. Solve, a. What will be the cost in real terms of 1,000 cubic feet of natural gas in 22 years? b. If the general price inflation rate (e.g., the CPI) for the next 22 years is expected to average 3.2% per year, what will a 1,000 cubic feet of natural gas cost in actual dollars 22 years from now?The current yield curve for treasuries is as follows: Maturity (years) YTM 1 0.5% 2 0.9% 3 1.01% Compute the forward rate for the third year. Enter your answer as a decimal, rounded to 4 decimal places.The spot price of an investment asset is $35 and the risk-free rate for all maturities is 5% with continuous compounding. The asset provides an income of $2 at the end of the first year and at the end of the second year. Which of the below is closest to the three-year forward price? a. $35.84 b. $19.67 c. $40.50 d. $36.35
- Assume that you conduct a relative value trade and close it out after 34 days. Your 34-day return is 0.40%. Annualize this return as an effective annual yield (EAY). Assume that a year has 365 daysSuppose that the current price of oil is $ 90 per bbl. Suppose it costs $ 0.5 per bbl per month to store oil (payable monthly in advance). Suppose also that the term structure is flat with a continuously compounded rate of interest of 3 % for all maturities. Calculate the forward price of oil for delivery in 3 months.Kk201. An asset produces $150 in two years, and $250 in four years, and the current price has been calculated toreflect a rate of return of 9% annually. Using the definition that convexity = second derivative of pricedivided by price, find the convexity of this asset evaluated at the annual yield rate of 9%.
- Complete the following using present value. Amount desired $8,900, Time 4 years, Rate 6%, Compounded monthly. What is the period used? What is the rate? What PV factor is used? What is the PV of amount desired at end of period?Please calculate the equivalent annual cost for a truck that has an initial cost of $80,000, annual operating costs of $4,000, a lifespan of 15 years, and an expected resale value in 15 years of $5,000. The discount rate is 7%. O PV O EAC A company's stock sells for $60 and has a dividend of $3.00, which is projected to grow at 4% per year. What is the implied cost of equity for the firm? A company has outstanding bonds with a YTM of 6%, a required return on equity of 9%, a marginal tax rate of 21% and a target capital structure consisting of 50% debt and 50% equity. What is the weighted average cost of capital for this firm?What is the returnon an investment that costs $1,000 and is soldafter 1 year for $1,060?
- Mike Derr Company expects to earn 6% per year on an investment that will pay $616,000 seven years from now. (PV of $1. FV of $1. PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided. Round "Table Factor" to 4 decimal places.) Compute the present value of this investment. Future Value Table Factor Present ValueMike Derr Company expects to earn 8% per year on an investment that will pay $616,000 ten years from now. (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided. Round "Table Factor" to 4 decimal places.) Compute the present value of this investment. Future Value 616,000 X Table Factor Present Value(a)An investment is offered whereby £1000 is invested immediately, £2000 is invested in exactly threeyears’ time followed by a further investment of £3000 after a further threeyears. The investment is due to return £10000 in ten years’ from now. (i)Write down the equation of valuefor the investment (ii) Estimatethe yield on the investment. (b) (i)Calculate the present value, at a rate of interest of 6.5% per annum effective, of anannuity where £5000 is paidat the end of the first year, £4,800 is paid at the end ofthe second year, £4,600 is paid at the end of the third year and so on, with paymentsdecreasing by £200 per annum until the payment stream ends afterof 10 years. (ii)What would the payments be for an investment with the same present value, with equal payments every month?