You have $7,800 to deposit. Regency Bank offers 6 percent per year compounded monthly (.5 percent per month), while King Bank offers 6 percent but will only compound annually. How much will your investment be worth in 19 years at each Bank? (Do not round intermediate calculations and round your answers to 2 decimal places, e. g., 32.16.)

Question

Arjun Wang

Business

5 January, 09:09

You have $7,800 to deposit. Regency Bank offers 6 percent per year compounded monthly (.5 percent per month), while King Bank offers 6 percent but will only compound annually. How much will your investment be worth in 19 years at each Bank? (Do not round intermediate calculations and round your answers to 2 decimal places, e. g., 32.16.)

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Answers (1)

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Harmony Charles · Answer 1

Instructions are listed below.

Explanation:

Giving the following information:

PV = $7,800

Regency Bank:

i = 0.5 percent per month

n = 19*12 = 228

King Bank:

i = 6 percent annually

n=19

To calculate the final value of each bank we need to use the following formula:

FV = PV * (1+i) ^n

Regency bank:

FV = 7,800 * (1+0.005) ^228 = $24,319.61

King bank:

FV = 7,800 * (1.06) ^19 = $23,599.68