1. Explain/Caculate: spot rate, yield-to-maturity(YTM), par rate, swap rate, forward rate
    • swap rate calculation: $$ c = q \times \frac{1-d(n)}{\sum_{i=0}^n d(i)} $$
    • related spread: swap spread(swap - Treasury rate), I-spread(spread with swap rate), Z-spread(spread with spot rates, assume no interest volatility), TED spread, LIBOR-OIS spread: all for measure credit risks
    • if future realized spot rate is lower than forward rates today, bond is? (undervalued)
    • the relationship between spot curve, par-curve and coupon bond curve: when interest rate go downwards, par>spot; upwards, spot > par, coupon always in the middle
  2. What is the YTM/Effective Duration for a callable/putable bond comparing to a normal bond?
    1. callable bond is bond plus a short call -> higher yield, putable bond is a bond plus a long put ->lower yield
    2. both bonds has lower effective duration (callable bond can have negative duration)
    3. interest rate volatility will change the YTM(OAS spread) accordingly

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