Answer:
Arbitrage opportunity may exists as the ZCBs selling at different price at same time due to change in their YTM .
The PV of 100 face value zcb with different ytm are different , in this case.
for one year maturity with face value 100 current price = fv/ pv at 8% = 92.59
for Two year maturity with face value 100 current price = fv / Pv at 9% for two years = 84.167 , if the bond holder sell the bond after 1 year only, the price = 91.74 .
a) The arbitrage opportunity exist with buy two bond with face value 100 with maturity of 1 year and face value 110 with maturity of 2 years.
b) profit 0.01 , as difference between PV of both bond at their YTM rate.
Answer:
Yield to call (YTC) = 7.64%
Explanation:
Yield to call (YTC) = {coupon + [(call price - market price)/n]} / [(call price + market price)/2]
YTC = {135 + [(1,050 - 1,280)/5]} / [(1,050 + 1,280)/2]
YTC = 89 / 1,165 = 0.07639 = 7.64%
Yield to call is how much a bondholder will earn if the bond is actually called, and it may differ from yield to maturity since the call price is generally higher than the face value, but the yield to maturity generally is longer than the call period.
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