Cours 4 Flashcards

1
Q

What is a risk-free interest rate?

A

It is an interest rate for which the promised amount will certainly be paid.

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2
Q

Why are risk-free rates very important quantities for the derivative market?

A
  • They are used to define the cash flows of several derivative products.
  • They are very useful for many issues related to derivative pricing.
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3
Q

What are treasury rates?

A
  • They are rates and yields on bonds issued by governments.
  • They are risk-free rates.
  • They are short and long maturities.
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4
Q

Why are treasury yields considered artificially low?

A
  • They have a favorable tax treatment in the US that inflates prices of treasury bonds (artificially lower the yields).
  • Banks don’t need to hold capital for investments in treasury bonds, whereas they do for other low-risk assets.
  • Participants in the derivative markets rarely use them.
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5
Q

What is the London Interbank Offered Rate (LIBOR)?

A
  • It is a rate at which a bank could borrow funds from another bank.
  • It is a rate for institutions rated AA and above.
  • Daily surveys of several financial institutions in London determine these rates.
  • They are rates available for multiple maturities and currencies.
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6
Q

What is the Canadian Dollar Offered Rate (CDOR)?

A

It is the same thing as the LIBOR but in Canada,

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7
Q

What problems occurred with LIBOR rates after the 2007-2008 crisis?

A
  • It had significant risk premiums associated with the possibility of bank default.
  • The risk-free rate to value derivative was less present for that reason.
  • There were problems regarding LIBOR manipulation.
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8
Q

What is a Repo rate?

A
  • It is an agreement for the sale and repurchase of a risk-free security.
  • The sale and the repurchase are defined at the signature of the agreement.
  • It is a very short maturity.
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9
Q

How does a Repo rate work?

A
  • The borrower sells a risk-free security to the lender and gets $$.
  • The borrower repurchases the risk-free security from the lender some day later, but at a higher price.
  • The interest is the difference between the sale and repurchase price.
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10
Q

Why is the Repo rate of very little credit risk?

A
  • If the borrower does not respect the agreement, the lender keeps the risk-free security.
  • If the lender does not respect the agreement, the borrower keeps the $$ borrowed.
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11
Q

What is a Secured Overnight Financing Rate (SOFR)?

A
  • The SOFR rate is determined as an average of 1-day REPO rates in the US.
  • Because of the very short term and because they are secured, they are default risk-free rates for a maturity of 1 day.
  • It is a daily compounding rate expressed on an annual basis. The Federal Reserve Bank of New York publishes it every business day.
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12
Q

What is the Canadian Overnight Repo Rate (CORRA)?

A
  • It is the SOFR, but in Canada.
  • It is published by the Bank of Canada (BOC) every business day.
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13
Q

What is the importance of CORRA and SOFR?

A
  • Regardless of their uncertainty, these rates will be used as reference rates for writing several forward and futures types derivative contracts.
  • They are used as “raw material” to extract risk-free rates with maturities longer than one day.
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14
Q

What are the Overnight Indexed Swap rates (OIS)?

A
  • It is a forward type of derivative product whose cash flows are determined from the SOFR and CORRA rates.
  • They are used for OIS swap agreements for risk-free rates for both short and long maturities called OIS rates, and have been used since 2008.
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15
Q

What is a spot rate?

A

It is the yield to maturity of a zero-coupon bond.

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16
Q

What is the yield to maturity (YTM)?

A

It is a unique rate that makes the present value of future cash flows equal to the market value.

17
Q

What is the par yield?

A

The coupon rate makes the present value of future cash flows equal to par value.

18
Q

What is bootstrapping?

A
  • It is the spot rate determination.
  • It is used only for short maturities.
  • This process can be used to determine longer maturities.
19
Q

What is a forward rate?

A

It is the rate determined today for a loan starting at date t1 and maturing at date t2.

20
Q

What is a Forward Rate Agreement (FRA)?

A

It is an agreement at t=0 to exchange an interest on an amount of L4 for a period starting at T1 and ending at T2.

21
Q

Why do we use FRAs?

A

It is an instrument used to hedge against changes in interest rates.

22
Q

What happens when we value a FRA after the inception date?

A
  • The rate Rk is equal to the forward rate, guaranteeing a value of zero for the FRA contract at the inception date.
  • After the inception date, the value of the FRA is different from zero.
23
Q

Since 2007, which of the following is the risk-free rate?

A

It is the OIS rate.