SIM Global Education · FACULTY OF FINANCE

FIN4006 Chap.4 Forwards, Futures and Currency Options

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Chapter 4 of 6 · FIN4006

Forwards, Futures and Currency Options

Define forward contract

The course material gives this chapter a concrete anchor: The derivative sequence distinguishes obligation, standardisation, margin and optionality.

That forward contract anchor controls how currency future is explained and how currency option is tested in changed practice.

Forwards, Futures and Currency Options is a quantitative decision problem built from forward contract, currency future and currency option.

The aim is to compare linear and asymmetric currency payoffs; a numerical result earns meaning only when the variables, units, assumptions and comparison are all explicit.

Begin with forward contract: state what quantity it represents, the scale on which it is measured and the condition under which it changes.

Then map every symbol in the Forwards, Futures and Currency Options formula checkpoint to forward contract before calculation begins.

Next connect currency future to the calculation. Show the currency future transformation line by line, preserve units and signs, and make any denominator or baseline visible.

A currency future calculator output is not a method; the reader must be able to reconstruct why that operation answers the question.

Formula checkpoint: forward contract

Call payoff
ΠT=max(STX,0)p\Pi_T=\max(S_T-X,0)-p

The terminal long-call payoff equals positive intrinsic value less premium p, before financing and transaction costs.

Trace currency future

Use currency option to interpret or stress-test the result.

Ask whether the currency option magnitude is plausible, whether a boundary case behaves as expected and which conclusion would reverse if an assumption changed. This is where computation becomes analysis rather than arithmetic.

When the task is to compare linear and asymmetric currency payoffs, separate inputs supplied by the problem from quantities you derive.

Then report the currency option result in the language of the course and attach the relevant uncertainty, limitation or decision consequence.

Build a representation check before solving. Put forward contract, currency future and currency option into a small symbol-and-units table, mark which values are observed and which are calculated, and predict the direction of the result before doing arithmetic.

A sign, scale or unit mismatch in forward contract then becomes visible at setup instead of being hidden inside a polished final number.

Run one sensitivity test after the baseline answer. Change the input most closely connected to currency future, hold the remaining assumptions fixed and recompute only the affected steps. Explain whether the movement in currency option matches the mechanism.

This currency future sensitivity shows which assumption controls the conclusion and prevents a single scenario from being presented as universal.

Test with currency option

Use a three-column forward contract error log for FIN4006: translation error, calculation error and interpretation error.

Record the exact line where the currency future solution first diverged, rewrite that line, and check it with a limiting case or an independent calculation.

Correcting the first failed currency future move is more useful than copying the complete solution again.

A complete response should make the task visible before the detail: identify what must be decided, define the relevant terms, connect the evidence to currency future, and use currency option to test the result.

The final sentence about currency option should answer the question actually asked rather than merely repeat the topic.

The controlling limit is specific: a favourable gross option payoff may remain a net loss after premium.

Keep that currency option limit beside the worked example, because it separates a careful FIN4006 answer from one that sounds confident but claims more than the task or evidence supports.

For revision, retrieve forward contract, currency future and currency option without notes, explain their relationship aloud, then complete a changed version of the application: compare linear and asymmetric currency payoffs.

Record the first failed currency future reasoning move and repair it before attempting another case.

In this chapter

What this chapter covers

  • 01

    Forward contract

  • 02

    Currency future

  • 03

    Currency option

  • 04

    Applying forward contract

  • 05

    Limits of currency future and currency option

Worked example · free

Value a call payoff

Q [6 marks]. AskSia-authored practice. A USD call has strike 1.34 SGD/USD, terminal spot 1.39 and premium 0.02 per USD. This practice weighting is not an official university mark allocation.
  • 1Compute intrinsic value.
  • 1Deduct the premium for net payoff.
  • 1Multiply by the USD notional.
  • 1Compare with an unhedged payable.
  • 1State that time value before maturity differs.
  • 1Identify counterparty or basis limits.
Intrinsic value is 0.05 SGD/USD and net terminal payoff 0.03 before other costs; multiply by notional and compare complete cash-flow positions.
Sia tip — Never confuse option value before expiry with terminal intrinsic value.
Glossary

Key terms

Forward contract
Over-the-counter agreement to exchange currency at a fixed future rate. In this chapter it establishes the object needed to compare linear and asymmetric currency payoffs. Use this definition when the task is to compare linear and asymmetric currency payoffs.
Currency future
Standardised exchange-traded currency contract with margining. It becomes operational when the analysis must compare linear and asymmetric currency payoffs. Use this definition when the task is to compare linear and asymmetric currency payoffs.
Currency option
Right but not obligation to exchange currency at a stated strike by specified terms. Its interpretation stays bounded because a favourable gross option payoff may remain a net loss after premium. Use this definition when the task is to compare linear and asymmetric currency payoffs.
FAQ

Forwards, Futures and Currency Options FAQ

Which common basis lets a student compare linear and asymmetric currency payoffs?

Compare linear and asymmetric currency payoffs. The derivative sequence distinguishes obligation, standardisation, margin and optionality. Over-the-counter agreement to exchange currency at a fixed future rate. In this chapter it establishes the object needed to compare linear and asymmetric currency payoffs.

Might a favourable gross option payoff remain a net loss after premium?

A favourable gross option payoff may remain a net loss after premium. Standardised exchange-traded currency contract with margining. It becomes operational when the analysis must compare linear and asymmetric currency payoffs.

Which conclusion should be retested after moving terminal spot across the strike and graph both gross and net option payoff?

Intrinsic value is 0.05 SGD/USD and net terminal payoff 0.03 before other costs; multiply by notional and compare complete cash-flow positions. A favourable gross option payoff may remain a net loss after premium.

Study strategy

Exam move

Reconstruct the relationship among forward contract, currency future and currency option; complete the chapter application without notes; then test the result against this limit: a favourable gross option payoff may remain a net loss after premium.

Working through Forwards, Futures and Currency Options in FIN4006? Sia is AskSia’s AI Finance tutor — ask any FIN4006 Forwards, Futures and Currency Options question and get a clear, step-by-step explanation grounded in how FIN4006 is taught and assessed. Read this chapter free, then take your hardest questions to Sia.

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