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Consider a single-stock futures contract on Apple stock. Consider the following scenario: Annualized, continuously compounded risk-free interest rate for 2-month period: r = 2.95%. Annualized,

  1. Consider a single-stock futures contract on Apple stock. Consider the following scenario:
  • Annualized, continuously compounded risk-free interest rate for 2-month period: r = 2.95%.
  • Annualized, continuously compounded risk-free interest rate for 4-month period: r = 5.65%.
  • Current spot price of Apple stock: $562 per share.
  • Dividend per share of $0.62 in 2 months.
  • Contract expiration: T = 4 months.
  • Futures price on Apple single-stock futures: $600 per share.

An arbitrage opportunity exists. What is the net profit per share when the futures contract expires? Use a strategy that has zero netcash flows today and zero net cash flows in two months.

  1. Consider a single-stock futures contract on Exxon-Mobil stock. Consider the following scenario:
  • Annualized, continuously compounded risk-free interest rate for 3-month period: r = 3.16%.
  • Annualized, continuously compounded risk-free interest rate for 5-month period: r = 5.21%.
  • Current spot price of Exxon Mobil stock: $154 per share.
  • Dividend per share of $0.64 in 3 months.
  • Contract expiration: T = 5 months.
  • Futures price on Exxon Mobil single-stock futures: $150 per share.

An arbitrage opportunity exists. What is the net profit per share when the futures contract expires? Use a strategy that has zero net cash flows today.

  1. Suppose that an Intel single-stock futures contract expires in four months. The stock pays a dividend in two months. We have the following information.
  • Annualized, continuously compounded risk-free interest rate for 2-month period: r = 3.86%.
  • Annualized, continuously compounded risk-free interest rate for 4-month period: r = 4.95%.
  • Current spot price of Intel stock: $30 per share.
  • Dividend per share of $0.24 in two months.

What must the futures price equal in order than no arbitrage opportunity exist?

  1. The spot price of an investment asset is $47 per unit and the annualized risk-free rate for all maturities (with continuous compounding) is 6%. The asset provides an income of $1.68 per unit at the end of the first and second years. Assuming no arbitrage opportunities exist, what is the forward price on a forward contract that matures in 3 years?

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