Head & Shoulders shampoo insured a spokesman football players long hair for $$1$ million with Lloyd's of London. The insurance payout would be triggered if he lost at least $60\%$ of his hair during an on$-$field event. The insurance company placed the odds of a payout at $1\%$ in year $4\mathrm{.}00.$ Determine how much Head and Shoulders had to pay in a lump sum amount for the insurance policy, if Lloyds of London wanted a rate of return of $20\%$ per year, compounded weekly.If Lloyd's of London wanted a rate of return of $20\%,$ Head and Shoulders had to pay $$$in a lump sum amount for the insurance policy.