Discount Factor

Given Information

Interest rate swap:

Pay Leg

Receive Leg

Notional

CAD 100 million

CAD 100 million

Effective Date

10/01/2021

10/01/2021

Maturity Date

10/01/2022

10/01/2022

Coupon

2%

3-month CDOR flat

Pay frequency

Semi-Annual

Semi-Annual*

*CDOR coupons are not compounded.

Rates:

Pay Date

CDOR Float

Discount Factor

01/01/2022

0.64

0.98

04/01/2022

0.68

0.96

07/01/2022

0.70

0.94

10/01/2022

0.76

0.92

Answer:

Please fill in the cash flow and PV for both legs.

Pay Date

Pay Fixed Leg

Cash Flow

Pay Fixed Leg PV

Receive Floating Leg Cash Flow

Receive Floating Leg

PV

Net PV

04/01/2022

10/01/2022

Net PV of Swap

Sample Solution

connected to the matrix, right now for instance. You cannot know whether anything outside of your mind is true. That the only thing that you can be 100% sure of is that your mind exists and that it’s thinking the thoughts that you are thinking. Everything else can be, or rather is false.

Descartes’ evil demon being is thoroughly exploited in The Matrix movie as the A.I. (artificial intelligence) that implants a virtual reality on human’s brains, “A.I. – you mean Artificial Intelligence?” (Neo). Just as Descartes realized in his Meditations that the series of sensations in his dreams were vivid enough to end up convincing him the dreams were “real,” the humans who are plugged into the Matrix are not able to tell that their sensations are indeed false, and are created artificially instead of them arising naturally from actual experiences. It is not until Neo is unplugged from the Matrix, he, too, has no idea that his life is, in fact, a virtual reality. Just like Descartes, Neo eventually learns that he can’t accept things at first without analyzing them, and to question the existence of even those things, such as chairs, that seem mostly real. The chair example, for instance, is present in the movie when Morpheus is making Neo, who his at the Construct, aware of what reality really is and how do you define it, “If you’re talking about what you can feel, what you can smell, what you can taste and see, then real is simply electrical signals interpreted by your brain” (Morpheus). It is noteworthy that Descartes stated, “perceive so clearly that there exist no certain marks by which the state of waking can ever be distinguished from sleep.” This statement matches what Neo felt in the Matrix; he felt as that he could not tell the difference between what is a dream and what is a reality.

Let us suppose that Descartes is watching the movie The Matrix and he states the following, “Even if it turns out that the world Neo has been living is not real, but just a part of a Matrix, Neo’s existence is not challenged. This is because of his concurrent thoughts and his phenomenological perceptions,” I would agree with his statement about the movie because of a series of factors that touches upon the contents of one’s consciousness that extend the domain of certainty. In the movie, the proposition of Cogito ergo sum can also be associated with Neo, he apparently

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