Jane and Smith are considering the purchase of a home in downtown Minneapolis. They approached Larson's Mortgagers Inc. to arra
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Answer:
(A) 11.3% (B) $430,000
Explanation:
There seems to be an error in the compounding equation written as A(t) = 50,000(1.055)2t.
Compounding the semi annual return, the equation should be
where t is the number of years.
The equation is similar to the first expected that 1.055 is raised to the power of (2t) and not multiplied by it.
(A) Compounding at 5.5% semi-annually, the equivalent annual growth rate is computed as follows.
=
= 1.113025 - 1
= 0.113025 = 11.3025%
= 11.3% (to the nearest tenth of a percent).
(B) In 20 years, the investment will be worth
(where t=20)
=
=
= 50,000 * 8.5133
= $425,665
= $430,000 (to the nearest ten thousand dollars)