# Finding the redemption yield of a bond given a capital gains tax

Let's say a bond has a face value of £$$100$$ with semi-annual coupons at a rate of $$3$$% p.a which is redeemable at par in $$10$$ years. Assume an investor purchases the bond for £$$92$$ on the day it is issued. If at the maturity the investor pays capital gains taxes at $$22$$%, what is the net redemption yield?

So I've set up this equation for the price (£92) of a bond using the fact that the $$\text{semi-annual coupon rate}=0.015$$, $$n=20$$, the $$\text{net payment at maturity} = 98.24$$ and $$i/2$$ is the net redemption yield :

$$92 = 0.015\times100\times(1-(1+(i/2))^{-20})/(i/2) + 98.24\times(i/2)^{-20}$$

The questions asks me to find the answer $$i = 3.83$$ via interpolation methods, but I'm not sure how to approach this, nor am I confident that my equation is correct. Is there any difference between redemption yield and yield rate? Any help/ pointers would be appreciated.

(Apologies for the bad formatting but I can't seem to figure out the right way.)