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Morgan Stanley and Apple agree on an interest rate swap on September 29, 2020 on a notional principal of $100 million. Morgan will make annual

  1. Morgan Stanley and Apple agree on an interest rate swap on September 29, 2020 on a notional principal of $100 million. Morgan will make annual floating-rate payments according to the 1-year LIBOR plus 0.5%. Apple in return will make annual fixed-rate payments. The first cash flow exchange will occur on September 29, 2021. The contract will last for a period of 3 years. On September 29, 2020, the following LIBOR zero rates and the continuously compounded interest rates are as follows:
Maturity LIBOR Zero Rate (%) Risk-free Rate (%)
1 year 1.75 1.00
2 years 2.00 1.00
3 years 2.25 1.00

c) (3 points) On September 29, 2022, the LIBOR zero rate and risk-free interest rate for the remaining one year are:

Maturity LIBOR Zero Rate (%) Risk-free Rate (%)
1 year 2.50 1.00

Compute the value of the swap to Morgan (assuming a 3% fixed rate).

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