Discuss why bond managers use leverage, the instruments that create it, and the dangers it brings
The idea
Leverage lets a manager raise exposure or return on equity capital. With invested funds earning rI, borrowing cost rB, equity VE and borrowed VB, the return on equity is rE = rI + (VB ÷ VE) × (rI − rB). With rI 6%, rB 3% and VB ÷ VE 0.5, the leveraged return is 7.5%. Leverage can be created through futures, interest rate swaps, structured notes such as inverse floaters, repurchase agreements and securities lending. The risks are magnified losses when rI falls below rB, funding risk if repo lines are withdrawn or margin is called, forced sales at poor prices in stressed markets, and counterparty risk. The trap is treating derivative leverage as costless; it carries margin and liquidity demands.
Formulas
Return on equity with borrowed money
rE = rI + (VB ÷ VE) × (rI − rB)
- rI
- the return on the invested portfolio
- rB
- the cost of borrowing
- VB
- the amount borrowed
- VE
- the investor's own equity
Leverage magnifies the spread rI − rB in both directions: once rI falls below rB, the equity return falls faster than the portfolio's. Derivative leverage brings margin calls that can force sales at poor prices.
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