Question

Dixie Bank offers a certificate of deposit with an option to select your own investment period. Jonathan has ​$8 comma 000 for his CD investment. If the bank is offering a 6 ​% interest​ rate, compounded​ annually, how much will the CD be worth at maturity if Jonathan picks a a. two ​-year investment​ period? b.  six ​-year investment​ period? c.  ten ​-year investment​ period? d.  fifteen ​-year investment​ period?

Answer 1

Answer:

A = P * (1 + r/n)^nt. Where A = Maturity amount = ? P = Principal amount = $8,000, r = Rate of interest = 6%, n = Number of compounding per year = 1, t = Number of year

a. t = 2

A = $8,000 * (1 + 0.06/1)^1*2

A = $8,000 * (1.06)^2

A = $8,000 * 1.1236

A = $8,988.80

b. t = 6

A = $8,000 * (1 + 0.06/1)^1*6

A = $8,000 * (1.06)^6

A = $8,000 * 1.418519

A = 11348.152

A = $11,348.15

c. t = 10

A = $8,000 * (1 + 0.06/1)^1*10

A = $8,000 * (1.06)^10

A = $8,000 * 1.7908477

A = 14326.7816

A = $14,326.78

d. t = 15

A = $8,000 * (1 + 0.06/1)^1*15

A = $8,000 * (1.06)^15

A = $8,000 * 2.3965581931

A = 19172.4655448

A = $19,172.47