Question: Returning to the Simplico gold mine example, we saw in the Derivatives Pricing and the Binomial Model lecture notes that the value of the lease

Returning to the Simplico gold mine example, we saw in the Derivatives Pricing and the Binomial Model lecture notes that the value of the lease (without the enhancement option) was $24.1m. Without building a lattice, how could you quickly verify that this price was (approximately) correct? Or to put it another way, can you find a quick way to estimate the price of the lease without building a lattice and using backwards evaluation? Hints: Let St denote the price of gold at time t. How much is security worth St at time t worth today at time 0? Recall also (or look it up if you've never seen it before) the annuity formula for computing the value of constant cash- flow over a fixed number of time periods.

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