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PLEASE OUTLINE THE HOW TO PLUG INTO FINANCE CALCULATOR (New to using a Finance Calculator) 1)...

PLEASE OUTLINE THE HOW TO PLUG INTO FINANCE CALCULATOR (New to using a Finance Calculator)

1) A bank offers 4.00% on savings accounts. What is the effective annual rate if interest is compounded (A) semi-annually, (B) quarterly, (C) monthly, (D) daily, & (E) continuously?

2) Assume a bank offers an effective annual rate of 5.56%. (A) If compounding is quarterly what is the APR? (B) If it is compounding monthly what is the APR?

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Answer #1
1- effective annual interest rate if compounding is done semiannualy (1+r/n)^n-1 (1+4%/2)^2-1 4.04%
effective annual interest rate if compounding is done quarterly (1+r/n)^n-1 (1+4%/4)^4-1 4.06%
effective annual interest rate if compounding is done monthly (1+r/n)^n-1 (1+4%/12)^12-1 4.07%
effective annual interest rate if compounding is done daily (1+r/n)^n-1 (1+4%/365)^365-1 4.08%
effective annual interest rate if compounding is done continuously r = e^i - 1 2.718^4%-1 4.08%
2- effective annual interest rate if compounding is done quarterly (1+r/n)^n-1 (1+5.56%/4)^4-1 5.68%
effective annual interest rate if compounding is done monthly (1+r/n)^n-1 (1+5.56%/12)^12-1 5.70%
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