An investor enters a long position in a futures contract on an index (F) with a notional value of 200 × F, expiring in one year. The index pays an annual continuously compounded dividend yield of 4%, and the annual continuously compounded risk-free interest rate is 2%.
At the time of purchase, the index price is 1100. Three months later, the investor has sustained a loss of 100. Assume the margin account earns an interest rate of 0%. Let S be the price of the index at the end of month three.
Calculate S.
The answer says, you get S by solving this equation,:
200*[S*exp(0.75*(0.02-0.04)-1100*exp(1*(0.02-0.04)))=-100
Question: the futures contract expires in 3 months. Why does the answers seem to use 1 year as comparison date? Can anyone shed more light on this problem?
Thanks!
At the time of purchase, the index price is 1100. Three months later, the investor has sustained a loss of 100. Assume the margin account earns an interest rate of 0%. Let S be the price of the index at the end of month three.
Calculate S.
The answer says, you get S by solving this equation,:
200*[S*exp(0.75*(0.02-0.04)-1100*exp(1*(0.02-0.04)))=-100
Question: the futures contract expires in 3 months. Why does the answers seem to use 1 year as comparison date? Can anyone shed more light on this problem?
Thanks!
A FM question - futures, from SOA sample exams
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