Mr Outov Luk recently emigrated to the UK, bringing with him a painting valued at £250,000. Art experts advised him, however, that it was unlikely to go up in price until the painter died. The painter is only 30, and comes from a very long lived family in the Caucasus. Mr Luk, aged 30 himself, was hoping to use the painting as his pension when he retires at the age of 60.

a) Assuming that the average inflation rate will be 3% per annum for the next 30 years, calculate the present value of Mr Luk’s pension fund.

b) Mr luk decided it was prudent to begin a pension savings plan to top up his pension. He had two options.

Option 1

Invest £200 per month in his company pension plan. The money would be taken from his salary at the end of each month and invested immediately. The company will match his contributions by topping it up by £40 per month. The past performance of the company plan suggests he could get an annual nominal return of 7.2%, compounded monthly on his investment.

Option 2

Make annual lump sum payments into a private pension scheme at the start of each year. Current legislation limits the amount he can put in to £3000 a year. His good friend Mr Nevagivasuka Aneve Nbrake advises him that the scheme run by his company is expected to generate compounded annual nominal returns of at least 10%.

(i) Calculate the value of final pension fund which will be generated by each option.

(ii) In light of your calculations in part i), and of any other considerations which you think might be relevant, what advice would you give to Mr Luk?

Do you mind if you use formulas when resolving it? and if possible could you give me a website that explains how these calculations works so i can understand more? thanks very much