Where do discount factors come from, and why would anyone pay only 97 cents today for a dollar guaranteed next year?
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Reading an exchange rate off a live auction
Record the auction of a claim to $1 in one year clearing at $0.97, state what the discount says about the issuer, and note the five-year claim is priced the same way.
Discount factors and the market's role
Record the second name for these exchange rates and their typical size, and state the market as the source of the procedure's single input, aggregating everyone's judgment in place of invented numbers.
Impatience, not risk, as what is discounted
Record that certainty leaves no default risk, state impatience as what is discounted in both framings — postponed consumption and lending the dollar out — and keep inflation apart as a separate idea.