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A 30-year loan of L is given to Peter with an annual effective interest rate of 10%. One option is to repay the loan by

A 30-year loan of L is given to Peter with an annual effective interest rate of 10%. One option is to repay the loan by making annual payments of size 2000 at the end of each year over the 30-year life of the loan. Another option is to repay the loan by making interest only payments at the end of each year along with deposits into a sinking fund. The first deposit into the sinking fund (i.e. at the end of the first year) is for P, and each subsequent deposit is 5% larger than the previous deposit. The deposits in the sinking fund grow at an annual effective interest rate of 8%. Calculate P. Give your answer rounded to the nearest whole number

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