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As an incentive to attract savings deposits, most financial institutions today offer daily and even continuous compounding. This means that savings, or passbook, accounts,
As an incentive to attract savings deposits, most financial institutions today offer daily and even continuous compounding. This means that savings, or passbook, accounts, as well as certificates of deposit (CDs), earn interest compounded each day or even more frequently, such as every hour or even every minute. (Continuous compounding, in which compounding occurs every instant, involves a different formula that is derived from the formula we've been using.) Let's take a look at daily compounding. To calculate the compound amount, A, of an investment with daily compounding, use the compound interest formula modified as follows: Rate per period (daily) (nominal interest rate, i, divided by 365) 365 Number of periods (days), n, = number of days of the investment. $ n A = P(1 + 365) = Calculator Sequence: (1 + (i+ 365 ) ) ynx P = A. (Round your answers to the nearest cent.) (a) On April 14, Thomas Ash deposited $2,400 in a passbook savings account at 3.5% interest compounded daily. What is the compound amount (in $) of his account on August 5?
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