Goldman Sachs and Alphabet agree on an interest rate swap on October 3, 2019 on...

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Finance

Goldman Sachs and Alphabet agree on an interest rate swap on October 3, 2019 on a notional principal of $300 million. Goldman will make annual floating payments according to the 1-year LIBOR plus 1%. Alphabet in return will make fixed-rate payments on annual basis. The first cash flow exchange will occur on October 3, 2020. The contract will last for a period of 3 years. On October 3, 2019, the following LIBOR zero rates and continuously compounded risk-free interest rates are as follows:

Maturity

LIBOR Zero Rate (%)

Risk-free Rate (%)

1 year

2.75

2.00

2 years

3.25

2.00

3 years

3.50

2.00

  1. If there is no cash settlement at the initiation of the contract, what should be the fair fixed rate that Alphabet should pay?
  2. If Alphabet prefers a fixed rate of 4% annually, what cash settlement is needed between the parties on October 3, 2019 in order to have a fair contract?

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