Answer:
The Proceeds of maturity after 10 years is $1613.4
Explanation:
Given as :
The maturity value = $ 6000
The rate applied at 6 % compounded quarterly
The Time period = 4 years
Now,
Amount = Principal ×
![(1+(\textrm Rate)/(4* 100))^(\textrm 4* Time)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/vd7c6esunrkeyhtg4qynqh1uh648sptx1i.png)
Or, Amount = 6000 ×
![(1+(\textrm 6)/(4* 100))^(\textrm 4* 4)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tj8msqazqeura4ctg1j61mqg34uigg53y1.png)
Or, Amount = 6000 ×
![(1.015)^(16)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/vv2c3rq7om8o9cx8jj3gtjfd3u9lawr2ca.png)
Or, Amount = 6000 × 1.2689
∴ Amount = $ 7613.4
So, The proceeds after 10 years = $ 7613.4 - $ 6000 = $ 1613.4
Hence The Proceeds of maturity after 10 years is $1613.4 Answer