You are a junior sell-side analyst working for Deutsche Bank and you have been assigned to cover Dettol.

On the back of extreme profits in the consumer hand sanitizer market, you believe that Dettol will pay $$6.76.7 as its annual dividend one year from now at t=11. You believe that investors should require return of 32.632.6% from their investment in shares of Dettol. In addition, you forecast that Dettol's dividends should grow by 50.950.9% each year until t=21t=21. After this time initial period of strong growth, you believe that a substantial amount of the general public will begin to return to their old filthy habits. This will lead Dettol's dividend growth to slow somewhat, growing only at rate of 17.817.8% per year until t=30t=30. After this time, with the lessons of COVID-19 long forgotten, you believe that Dettol's dividends per share will decline at a rate of 3.93.9% per year in perpetuity.

According to the dividend-discount model, what is the maximum price that you should be willing to pay for a share of Dettol?

The value of per share is $$