Today is $t=0.$ The interest rate is $8\%.$ The inflation rate is $1\%.$ You will make

your first deposit of $$14,000$ at $t=10.$ Each year thereafter you will deposit $5\%,6$ years at $5\%.$

more money into the account, until $t=16.$ Each year after that you will deposit $7\%4$ years at $7\%$

more money into the account, until your last deposit at $t=20.$ At $t=26$ you will

make withdrawals that will allow you to consume the same amount of goods that

$$4,000$ can buy today. For each year thereafter up to $t=45$ you will withdraw

enough money to allow you to consume $3\%$ more goods than the previous year. You

will then let the money sit in the bank until $t=50.$

a$)$ How much money will be left in the bank account at $t=50?$ Use the nominal

approach.