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Derivative Ch5

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a. What is the no-arbitrage forward price for delivery in 9 months? 1142.033197 b. Suppose a customer wishes to enter a short index futures position. If you take the opposite position, demonstrate how you would hedge your resulting long position using the indx and borrowing or lending We engage in a reverse cash-and-carry strategy. In particular we do the following: Today In 9 Months
Long forward 0 ST - F0
Short index +S0 -ST
Lend S0 -S0 S0erT
Total 0 S0erT - F0 Specifically, with the numbers of this exercise, we have: Today In 9 Months
Long forward 0 ST - 1142.03
Short index 1100 -ST
Lend S0 -1100 1142.03
Total 0 0 c. Suppose a customer wishes to enter a long index futures position. If you take the opposite position, demonstrate how you would hedge your resulting short position using the indx and borrowing or lending Now we engage in cash-and-carry arbitrage: Today In 9 Months
Short forward 0 F0 - ST
Buy index -S0 +ST
Borrow S0 +S0 -S0erT
Total 0 F0 - S0erT Specifically, with the numbers of this exercise, we have: Today In 9 Months
Short forward 0 1142.03 - ST
Buy index -1100 +ST
Borrow S0 1100 -1142.03
Total 0 0 The S&R Index psot price is 1100 and the continuously compounded risk-free rate is 5%. You observe a 9-month forward price of 1129.257.
a. What dividend yield is implied by the forward price? Solve the forward rate equation for the dividend yield:
F0 = S0e(r-δ)T δ = r - (1/T)ln(F0/S0)
0.015000381

b. Suppose that you believe the dividend yield over the next 9 months will be only 0.5%. What arbitrage would you undertake? With a dividend yield of 0.005, the fair forward price would be:

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