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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- NoneThe 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. $36.35Assume 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 days
- Suppose 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.Complete the following using the present value formula or financial calculator. Note: Do not round intermediate calculations. Round your final answer to the nearest cent. Amount desired at end of period $ 20,000 20 years Length of time Rate Compounded 8% Annually Period used Periodic rate % PV of amount desired at end of periodAn investor receives $1,050 in 6 months in return for an investment of $1,000 now. What is the equivalent annual nominal return on this investment with continuous compounding? a. 10.00% b. 4.88% c. 9.76%
- Assuming that the force of interest per annum is as given aboveand that it will fall by 50% over 10 years from the value 0.10 attime 0, find the present value of a series of four annualpayments, each of amount £1,000, the first payment being madeat time 1. no excel just working out pleaaseComplete the following using the present value formula or financial calculator. Note: Do not round intermediate calculations. Round final answer to the nearest cent. Amount desired at end of period Length of time Rate $ 19,400 6 years Compounded Period used Periodic rate 16 % Quarterly % PV of amount desired at end of periodneed help
- (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?Lipsion Ltd company is thinking about investing in one of two potential new productsfor sale. The projections are as follows: year revenue/ product s revenue/ product v0 (150,000) outlay (150000) outlay1 14000 150002 24000 253333 44000 520004 84000 63333 Calculate NPV of both products (to 1 d.p.) assuming a discount rate of 7%. Then decide which product should be selected and why ?A Treasury STRIP is purchased for $942 to mature at $1,000 in 3 years. Assuming annual compounding, what is its yield-to-maturity? Group of answer choices 2.0% 2.5% 3.0% 3.5% 4.0%