GOOD LUCK!!!

Task $1.$ A customer in a bank withdrew PLN $5000$ from a savings account after $3$ years. The nominal interest rate was

$2\mathrm{.}5\%.$ The deposit lasted $3$ years. For the last $9$ months a simple interest rate method was used, before that for $15$ months

a compound interest rate, and at the beginning a continuous compounding interest rate $($after each change in the interest

rate method the profits were credited to the account balance$).$ Please calculate how much was saved at the beginning of

this deposit.

Task $2.$ For the first six months, a certain loan was subject to a continuous interest rate of $6\mathrm{.}5\%.$ For the next $15$ months it

was at a compound interest rate of $7\%$ with quarterly capitalisation. Finally, for one year it was at a compound interest

rate of $8\mathrm{.}5\%$ with semi$-$annual capitalisation. Find the average effective interest rate on this loan over the whole analysed

period $($according to compound interest rate method$).$