Why do yield curves slope, and why must a coupon bond cost exactly as much as the STRIPS that replicate it?
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Expectations Hypothesis
State the hypothesis in words and symbols, and record the flat yield curve it implies when rates are not expected to change.
Liquidity Preference, Preferred Habitat and the other models
Write and the upward slope it implies, describe preferred-habitat premia by maturity, and record that no model fully explains the curve and working ones stay secret.
The 3-year 5% bond as a STRIPS package
List the STRIPS (50 one-year, 50 two-year, 1,050 three-year) that replicate the $1,000 bond's cash flows, and state that its price must equal the cost of that package.
The no-arbitrage argument with short-selling
Define short-selling, lay out the trades when the bond is dearer than the STRIPS, record the day-one cash and the later obligations, and run the reverse case to conclude the prices are equal.