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Western savings offer there year term deposits at 2

Math Aug 04, 2020

Western savings offer there year term deposits at 2.25% compounded annually while your credit union offers such deposits at 2.0% compounded quarterly. If you have $ 5000 to invest, what is the maturity value of your deposit

a.) at Western savings?

b.) at your credit union?

Expert Solution

This a question of compound interest, we can calculate it by the formula for both:-

A = P * ( 1 + (r/n))nt

Where A = amount

P = principal value = investment value = $5000 ( will be same for both cases)

r = rate

n = number of periods

t = time = 3 years for both .

 

a.) for western savings

rate = 2.25%

n = 1 (compounded annually )

using formula,

A = P * ( 1 + (r/n))nt

A = 5000 * ( 1 + (2.25% / 1))1*3

A = 5000 * 1.06903014

A = 5345.1507

 

b.) At credit union:-

rate = 2.0%

n = 4 ( compounded quarterly )

using formula,

A = P * ( 1 + (r/n))nt

A = 5000 * ( 1 + ( 2% / 4))3 * 4

A = 5000 * 1.06167781

A = 5,308.38

 

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