Quick algebra Flashcards

1
Q

What is the discount factor formula?

A

(Price-coupon%(sum(previous DFs))/(Nominal(1+coupon%)

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2
Q

How do you find the ZC rates using the discount factor?

A

((1/DFn)^(1/n))-1

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3
Q

How do you find the forward rates?

A

((1+rate total years)^n/(1+rate in how many years)^i)^(1/n)-1

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4
Q

How do you find 1 year foward rates using DC?

A

Dfstarts/Dfends-1

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5
Q

How do you find the Macaulay duration?

A

Sum(PV*i)/P

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6
Q

How do you find the modified duration?

A

MCdur/(1+ytm)

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7
Q

How do you find the convexity?

A

sum(PVi(1+i))/((P*(1+ytm)^2)

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8
Q

How do you calculate the price of a bond using the modified duration?

A

Price (y’)=(price y -modifieddurP(y’-y))+(0.5convexityP*(y’-y)^2)

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