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Problem 6-17 Calculating Future Values [LO1] Spartan Credit Bank is offering 6.8

ID: 2817646 • Letter: P

Question

Problem 6-17 Calculating Future Values [LO1] Spartan Credit Bank is offering 6.8 percent compounded daily on its savings accounts. You deposit $5,200 today. a. How much will you have in the account in 6 years? (Use 365 days a year. Do not b. How much will you have in the account in 11 years? (Use 365 days a year. Do not c. How much will you have in the account in 18 years? (Use 365 days a year. Do not ts kipped round intermediate calculations and round your answer to 2 decimal places, e.g. 32.16.) eBook Print erences round intermediate calculations and round your answer to 2 decimal places, e.g.. 32.16.) round intermediate calculations and round your answer to 2 decimal places, e.g 32.16.) a. Account value in 6 years b. Account value in 11 years c. Account value in 18 years

Explanation / Answer

We have

Future Value = Present Value *(1+r/c)^nc

Where

r - rate per year = 6.8%

n - no. of years = 6,11,12

c- no. of compoundingg per year=365

a.

Future Value =5200 *(1+.068/365)^(6*365)

= 5200 * 1.50375

= 7819.50

b.

Future Value =5200 *(1+.068/365)^(11*365)

= 5200 * 2.112623

= 10985.64

c.

Future Value =5200 *(1+.068/365)^(18*365)

= 5200 * 3.400375

= 17681.95