In: Accounting
What is the value on January 1, 2026, of $40,000 deposited on January 1, 2019, which accumulates interest at 12% compounded annually?
What is the value on January 1, 2025, of $10,000 deposited on July 1, 2019, which accumulates interest at 16% compounded quarterly?
1)
Amount deposited = $40,000
Period = 7 years
Interest rate = 12%
Value on January 1, 2026 = $40,000 * (1 + 0.12) ^ 7
= $40,000 * 2.21068
= $88,427
2)
Amount deposited = $10,000
Nos of quarterly periods = 5.5*4 = 22 periods
Quarterly rate of interest = 16% / 4 = 4%
Value on Jan 1, 2025= $10,000 * (1 + 0.04) ^ 22
= $10,000 * 2.36992
= $23,699