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41. The Alexander family is determined to purchase a $250,000 home without incurring any debt. The family plans on saving $2,

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Answer #1

Rate = 6.65% / 4 = 1.6625%

Number of periods = 4*n

Future value = Annuity * [(1 + r)n - 1] / r

250,000 = 2500 * [(1 + 0.016625)4*n - 1] / 0.016625

100 = [(1.016625)4n - 1] / 0.016625

1.6625 = (1.016625)4n - 1

2.6625 = (1.016625)4n

LN 2.6625 = 4n LN 1.016625

0.979266 = 4n0.016488

0.979266 = n0.065953

14.85 = n

It will take 14.85 years

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