You would like to buy a car in 2 years. The car will cost $10,000 and the bank offers semiannual compounding on your savings account at an annual interest rate of 3%. How much do you need to contribute to the account at the end of each six-month period?
answer: $2,444
Plz show working progress.
Solution:
Semiannual interest rate = 3%/2 = 1.50%
Let semiannual contribution = X
Nos of semiannual period = 2*2 = 4
Required contribution = $10,000 / Cumulative FV factor at 1.5% for 4 periods
= $10,000 / 1.061364 = $10,000 / 4.0909 = $2,444
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