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# Futures & Options Pricing: Calculate call options values; consider time premium

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Futures Pricing Problem

Suppose there is a financial asset ABC, which is the underlying asset for a futures contract with settlement six months from now. You know the following about this financial asset and futures contract:

o In the cash market ABC is selling for \$80.
o ABC pays \$8 per year in two semi-annual payments of \$4, and the next semi-annual payment is due exactly six months from now.
o The current six-month interest rate at which funds can be loaned or borrowed is 6%.

a. What is the theoretical (or equilibrium) futures price?

b. What action would you take if the futures price is \$83? What is the profit?

c. What action would you take if the futures price is \$76? What is the profit?

Options Pricing Problem

Calculate the call option value at the end of one period for a European call option with the following terms:
? The current price of the underlying asset=\$80.
? The strike price=\$75.
? The one period, risk-free rate=10%
? The price of the asset can go up or down 10% at the end of one period.

d. What is the fundamental or intrinsic value?

e. What is the time premium?