An investor wished to accumulate $100,00 in a fund for retirement at the end of 10 years. He made equal annual deposit at the end of each yea rwith the final deposit one yyear prior to his retirement; if teh annual effective interest rate is 5%, what is the annual deposit to the fund?

Due to his personal financial condition he did not make the required deposits for the third and fourth payments; but he resumed his annual deposit with the same amount of K to the fund starting at the end of fifth year to one year prior to his retirement so that the fund balance at the end of 10 years (with the accumulated value for the first two deposits) will be $100,000. If the annual effective interest rate was still 5%, determine K.

Please answer the full question thoroughly.