For the investment situation below, identify the annual interest rate, the length of the investment in years, the periodic interest rate, and the number of periods of the investment. 8% compounded quarterly for 6 years (a) the annual interest rate b) the length of the investment in years (c) the periodic interest rate (d) the number of periods of the investment periods



Answer :

The annual interest rate is 8%

The length of the investment in years is 6 yr.

The periodic interest rate is 2%

The number of periods of the investment periods [tex]=\frac{24}{\text { periods. }}[/tex]

As per the details share in the above question are as follow,

Given time period of t=5 years

Where the Interest rate of =8 % (Quarterly compounding)

Note: for quarterly compounding n=4

(a) So the annual interest rate will be of 8 %

(b) Further the length of Investment in years 6 years

(C) The Periodic interest rate

[tex]$(\gamma)=\left(\frac{8}{4}\right)=2 \%$[/tex]

(d) Number of periods for investment [tex]$=n t$[/tex]

[tex]\Rightarrow 4 \times 6=\frac{24}{\text { periods. }}[/tex]

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