Why is volatility ignored, shouldn't that effect FV? How would you calculate the price fluctuation caused by the volatility

Landmines a pure gold producer needs money. Want to raise money by selling a bond. Their investment banker, Bonkman Sacks, designs the bond to sell. It will pay at maturity a year later $1,000 mil +an additional amount. This additional amount (figures are all in $ mil) is tied to gold's price S(T) and will be: 0 if S(T)$950 If the risk free rate is 10%, the current price of gold is $920 and the volatility of gold price is 20% per year can you find what is the amount of money that they can raise. Show work and explain pls