大学英语数学题，求大神解答！！！在线等！！急！！！

大学英语数学题，求大神解答！！！在线等！！急！！！1.You know that an investment made now will mature in five years’ time with a value of £750. If the current interest rate is 10%, what must you invest now to produce this maturity value? What assumptions have you made?

2.You are offered one of the following:.

. (1) £100 now  
. (2) £120 in two years’ time  
. (3) £150 in four years’ time.  
Which would you take and why? What assumptions have you made?

3. A company is considering purchasing a labour-saving piece of equipment which will cost £40,000 and have a useful life of four years from now. Current cost of capital is 7.5%. Purchasing the machine will allow the company to cut its workforce by one person. At present average annual labour costs are £10,000 per person per year and are expected to increase by 5% per annum over the next few years.

(1) Advise the company as to whether it should purchase the machine.
(2) At what cost of capital (%) would you change your mind about the recom- mendation made?

4. A firm is considering replacing part of their computer network with the latest equipment. Two suppliers have been asked to tender for the project. The relevant costs of the project and the corresponding savings (e.g. in terms of reduced labour costs, increased efficiency) are shown in the table below

(1) If the current rate of interest is 12%, which supplier would you recommend should be given the contract?  

(2) What other factors would you wish to take into account before reaching a  decision?  

(3) If the rate of interest were to fall, how do you think this would affect your recommendation?

(4) For both suppliers, calculate the IRR.  

(5) How could you use this information?  

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