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What constant rate of growth of energy production would be needed to satisfy demand for the next 50 years?
A department store has its own credit card facilities, for which it charges interest at a rate of 2% each month. What is the annual percentage rate?
Find the future value of $100 compounded continuously at an annual rate of 6% for 12 years.
How much did it cost when new? After how many years will it be worth less than 25% of the amount that I paid for it?
A principal, $7000, is invested at 9% interest for 8 years. Determine its future value if the interest is compounded.
Find assets value in 10 years' time. How long will it take for a sum of money to double if it is invested at 5% interest compounded annually?
Which bank would you choose to invest in if you decided to invest a principal for (a) 2 years; (b) 3 years?
A bank offers a return of 7% interest compounded annually. Find future value of a principal of $4500 after 6 years. What is overall percentage rise over period?
The turnover of a leading supermarket chain, A, is currently $560 million and is expected. After how many years will supermarket B overtake supermarket A?
Determine the rate of interest required for a principal of $1000 to produce a future value of $4000 after 10 years compounded continuously.
Given that its current annual sales are only 9000, how many years will it take before the firm breaks even?
The current extraction of a certain mineral is 12 million. Estimate the current minimum level of world reserves if the extraction is to last in perpetuity.
If the first prize is awarded 1 year after the initial investment, find the number of years for which the prize can be awarded before the fund falls below $500.
Calculate the increased monthly repayments needed in the case when (a) the interest rate rises to 10% (b) the period of repayment is reduced to 20 years.
Calculate the total amount saved on the assumption that the money is transferred to a higher-interest account at the earliest opportunity.
Thereafter sales are predicted to rise at a constant rate of 4% each month. Estimate total sales for the next 2 years (including the first January).
Oil is currently extracted at an annual rate of 45.5 billion units and this is set to increase by 2.6% a year. After how many years will oil reserves run out?
The bank generously agrees to this, but insists that it should be repaid by 12 monthly instalments and charges 1% interest. Determine the monthly repayment.
Determine the amount saved after 10 years. After how many years does the amount saved first exceed $20 000?
A department store charges interest on any outstanding debt at end of each month. Plot graph of APR against monthly rate and comment briefly on its basic shape.
It produces a return of $40 000 at the end of year 1 and $30 000 at the end of year 2. Find the exact value of the internal rate of return.
What is the maximum amount that the firm should pay for the machine if it is not to suffer a net loss as a result of this investment?
Which of these projects would you invest in if the market rate is 5% compounded annually?
Calculate the internal rate of return. Would you advise someone to invest in this business if the market rate is 6% compounded annually?
Determine the present value of an annuity that pays out $100 at the end of each year for 5 years.