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This note demonstrates how a forward price, or equivalently, futures price, is determined and considers forward and futures contracts written on financial assets and on commodities. The note introduces the concept of a convenience yield and calculates the convenience yields on four commodities, crude oil, natural gas, copper and gold. Examples in the note use actual market prices.

This note demonstrates how a forward price, or equivalently, futures price, is determined and considers forward and futures contracts written on financial assets and on commodities. The note introduces the concept of a convenience yield and calculates the convenience yields on four commodities, crude oil, natural gas, copper and gold. Examples in the note use actual market prices.

A first year business school student has obtained a summer job as an analyst at a top investment bank in Los Angeles, California. His first assignment was the pricing of MicroComp's junk-bonds in the market place. Looking at the market value balance sheets, it was very clear that MicroComp was in financial distress. MicroComp's dept totaled $150 million, while the market value of its assets were $80 million. If MicroComp was required to repay its debt immediately, it would be forced into bankruptcy. Clearly, MicroComp was in effective default, why did its market capitalization remain at $5 million? Why had it not fallen to zero? Students will use option theory to answer these questions.

The real options approach to capital budgeting uses an options-based analysis to evaluate the real (as opposed to the financial) potential of projects. By charting the options as a series of decision points and events, managers can understand the risks and rewards of the projects, and more fully assess their opportunities. This note introduces the real options approach and describes the four main categories: expansion and follow-on options, timing and delay options, abandonment options and options that introduce flexibility into production. The expansion option is discussed in detail, including sample calculations and decision trees.

The manager of a billion dollar hedge fund had just been approached by a syndicate of funds to gauge her interest in a bid to purchase RamSync Incorporated, a Silicon-Valley manufacturer of memory chips. Using a traditional discounted cash flow analysis (the APV method), the manager quickly determines that at a purchase price of $900 million, RamSync has a negative NPV of $33 million. However, purchasing RamSync, which currently produces SDRAM, would allow the owner to enter the much-anticipated MRAM market at a future period in time. The manager is now forced to reconsider how to value RamSync considering the hidden call option it has on the MRAM market.

A derivative is a financial instrument that's value, as its name suggests, is derived from the value of an underlying asset or security. There are many different derivative securities available, including: forwards, futures, options, rights, warrants, convertibles and swaps. This note introduces some of the key concepts, terminology and strategies associated with these derivatives.

When valuing the premium to be paid for put or call options, the underlying security is only one of several factors that can determine the option's value. By calculating the impact and value of all the determinants, an option's price more accurately reflects its value. This note examines the effects of various determinants on the price of an option and introduces two models that use options equivalents: the Black-Scholes Option Pricing Model and the Binomial Option Pricing Model.

The real options approach to capital budgeting uses an options-based analysis to evaluate the real (as opposed to the financial) potential of projects. By charting the options as a series of decision points and events, managers can understand the risks and rewards of the projects, and more fully assess their opportunities. This note introduces the real options approach and describes the four main categories: expansion and follow-on options, timing and delay options, abandonment options and options that introduce flexibility into production. The expansion option is discussed in detail, including sample calculations and decision trees.

When valuing the premium to be paid for put or call options, the underlying security is only one of several factors that can determine the option's value. By calculating the impact and value of all the determinants, an option's price more accurately reflects its value. This note examines the effects of various determinants on the price of an option and introduces two models that use options equivalents: the Black-Scholes Option Pricing Model and the Binomial Option Pricing Model.

A derivative is a financial instrument whose value, as its name suggests, is derived from the value of an underlying asset or security. There are many different derivative securities available, including: forwards, futures, options, rights, warrants, convertibles and swaps. This note introduces some of the key concepts, terminology and strategies associated with these derivatives.

The manager of a billion dollar hedge fund had just been approached by a syndicate of funds to gauge her interest in a bid to purchase RamSync Incorporated, a Silicon-Valley manufacturer of memory chips. Using a traditional discounted cash flow analysis (the APV method), the manager quickly determines that at a purchase price of $900 million, RamSync has a negative NPV of $33 million. However, purchasing RamSync, which currently produces SDRAM, would allow the owner to enter the much-anticipated MRAM market at a future period in time. The manager is now forced to reconsider how to value RamSync considering the hidden call option it has on the MRAM market.

A first year business school student has obtained a summer job as an analyst at a top investment bank in Los Angeles, California. His first assignment was the pricing of MicroComp's junk-bonds in the market place. Looking at the market value balance sheets, it was very clear that MicroComp was in financial distress. MicroComp's dept totaled $150 million, while the market value of its assets were $80 million. If MicroComp was required to repay its debt immediately, it would be forced into bankruptcy. Clearly, MicroComp was in "effective" default, why did its market capitalization remain at $5 million? Why had it not fallen to zero? Students will use option theory to answer these questions.