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Today is the first day of the month and Matt is 40 years old, and he has just started a new job, for which he
Today is the first day of the month and Matt is 40 years old, and he has just started a new job, for which he will receive a salary at the end of each month, including from the first month worked. His salary will increase by 3% each year (his monthly salary will remain constant for 12 months), the first increase will occur when Matt turns 41. In this sense, Matt wants to take c% of each monthly salary received and deposit it in an account that generates interest at an effective annual rate of 5%. Right after the deposit made on his 65th birthday, Matt uses all the balance he has accumulated in the account to acquire a 15- year annuity. The annuity will give you monthly payments starting at the end of the month in which Matt turned 65, the payments will be leveled each year and will increase 5% each year (the first increase occurs when Matt turns 66). The initial monthly payment when Matt is 65 years old will be 50% of the amount of the monthly salary that Matt received in his last year. Find c
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