Question
A financial engineer invents a new derivative called a stock-swap. At the end of each year, the floating leg of a stock-swap pays the libor
A financial engineer invents a new derivative called a stock-swap. At the end of each year, the floating leg of a stock-swap pays the libor fix on a notional of $1000 while the stock leg pays 1 share of stock. Ian is offering to sell you a spot-starting stock-swap in which you pay the stock leg and receive libor for 10 years. Thus you receive 1000L0[0, 1] ]S1 in year 1, 1000L1[0, 1] S2 in year 2, and so on until year 10. Suppose S0 = 5 and Z(0, 10) = 0.6. You may assume that the stock pays no dividends. Assuming no-arbitrage, what is the value today of the stock-swap that Ian is selling?
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