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The Continental Bank advertises capital savings at 6.1​% compounded annually while TD Canada Trust offers premium...

The Continental Bank advertises capital savings at 6.1​% compounded annually while TD Canada Trust offers premium savings at 5.85​% compounded monthly. Suppose you have ​$3000 to invest for two years.

​(a) Which deposit will earn more​ interest?

​(b) What is the difference in the amount of​ interest?

​(Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as​ needed.)

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Answer #1

Effective Annual Interest:

Continental Bank = 6.1%

Canada Trust:

Monthly rate of interest = 5.85%/12 = 0.4875%

Effective Annual Rate of Interest = (1+0.4875%)12 – 1

= 6.009430%

Hence, Continental Bank deposit will earn more interest.

b)Difference in interest = 3,000(6.1%-6.009430%)2

= $5.43

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