Loan a sum of money, the loan interest rate is 6%, and it is agreed to repay the principal and interest in equal amount every year. At the beginning of each year, 200,000 yuan will be paid back, and 65,438+00 years will be paid back, with the interest rate unchanged. How much is the loan? This is a problem of "paying an annuity in advance"

Loan amount = annuity * 1-( 1+ annual interest rate)-(number of years-1)/ annual interest rate+annuity.

=200 000* 1-( 1+6%)^-9/ 6% + 200 000

= 1 560 338.45 yuan

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According to your formula:

20×( 1+r)÷r×[ 1-( 1÷( 1+r)？ )] =20*( 1+0.06)/ 0.06*( 1-( 1/( 1+ 0.06)^ 10))

= 1 560 338.45 yuan

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I think your answer is right. Could the official answer be wrong?