It is the beginning of September and you have been offered the following deal to go heli$-$skiing. If you pick the first week

in January and pay for your vacation now, you can get a week of heli$-$skiing for $$1,500.$ However, if you cannot ski

because the helicopters cannot fly due to bad weather, there is no snow, or you get sick, you do not get a refund. There

is a $35\%$ probability that you will not be able to ski. If you wait until the last minute and go only if you know that the

conditions are perfect and you are well, the vacation will cost you $$5,000.$ You estimate that the pleasure you get

from heli$-$skiing is worth $$7,500$ per week to you $($if you had to pay more than that, you would choose not to go$).$ If your

cost of capital is $8\%$ per year, should you book ahead or wait?

You should $($book ahead or

wait?$)$ because the NPV of this choice is $${?}_{{?}_{{?}_{?}}.(Roundto\text{t}\text{w}\text{o}\text{d}\text{e}\text{c}\text{i}\text{m}\text{a}\text{l}\text{p}\text{l}\text{a}\text{c}\text{e}\text{s}\text{.})}$