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How much is an annuity of monthly payments of e 200 over 10 years worth, if it earns 5% interest compounded monthly? 

 

Pv= C * (1-(1+i)^-n)/i

 

PV = 200 ( 1 -( 1+0.05/12)^120/0.05/12)

 

PV =18856.27007

 

Find the annual percentage rate (APR) for the following interest rates

(i) 5.39% compounded annually
(ii) 5.3% compounded semi-annually,

(iii) 5.2% compounded quarterly, (iv) 5.18% compounded monthly .

 

i) (1+0.0539/1)^1-1

apr = 5.39%

 

ii)5.4%

 

iii)5.3% (0.05302)

 

iv)5.3% (0.05304)

 

cheapest is (iii)

 Jul 28, 2016
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Use this formula to find the amount of the annuity:

PV=P{[1 + R]^N - 1.[1 + R]^-N} R^-1

PV=200 {[1 + .05/12]^120-1 x [1+.05/12]^-120 x (.05/12)^-1

PV=200 x 94.281350

PV=18,856.27

 

Find the annual percentage rate (APR) for the following interest rates

(i) 5.39% compounded annually
(ii) 5.3% compounded semi-annually,

(iii) 5.2% compounded quarterly, (iv) 5.18% compounded monthly .

 

i) (1+0.0539/1)^1-1

apr = 5.39%....................CORRECT.

 

ii)5.4%............................5.370225%

 

iii)5.3% (0.05302)..........5.302282%

 

iv)5.3% (0.05304)..........5.304769%

 

cheapest is (iii)...............CORRECT.

 Jul 28, 2016

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