Answer:
The value of annuity is

Explanation:
From the question we are told that
The periodic payment is

The interest rate is

Frequency at which it occurs in a year is n = 4 (quarterly )
The number of years is

The value of the annuity is mathematically represented as
(reference EDUCBA website)
substituting values
![P_v = 250 * [1 - (1 + (0.05)/(4) )^(-10 * 4) ] * [((1 + (0.05)/(4) ))/( (0.08)/(4) ) ]](https://img.qammunity.org/2021/formulas/mathematics/college/vxwey2akkdmsx555klogzb1bl96ho1d81e.png)
![P_v = 250 * [1 - (1.0125 )^(-40) ] * [((1.0125 ))/(0.0125) ]](https://img.qammunity.org/2021/formulas/mathematics/college/xtqz0do60vnvkk2pvnbzcyn69cbzlntsam.png)
![P_v = 250 * [0.3916 ] * [((1.0125))/(0.0125) ]](https://img.qammunity.org/2021/formulas/mathematics/college/4rb5urcf29wv7rfb1bpyaqpb9w7wlmlkky.png)
