- This topic has 7 replies, 2 voices, and was last updated Jun-193:11 am by
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Up4
This is the full question:
(1+zA)A x (1+IFRA,B-A)B-A – (1+zB)B
Suppose that the yields-to-maturity on a 3-year and 4-year zero coupon bonds are 3.5% and 4% on a semi-annual basis. The “3y1y” implies that the forward rate could be calculated as follows:
A = 6 periods
B = 8 periods
B-A = 2 periods
z6 = 0.035/2 = 0.0175
z8 = 0.04/2 = 0.02
(1+0.0175)6 x (1+IFR6,2)2 = (1+0.02)8
IFR6,2 = 0.0275
The “3y1y” implies the forward rate or forward yield is 5.50% (0.0275% x 2)
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Up2
Can’t understand the notation well enough – in any case wouldn’t the answer show the calculations?
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Up2
This one doesn’t seem right. Replacing IFR6,2 with 0.0275 in the LHS equation doesn’t yield the RHS.
Edit: You posted the wrong notation, it’s (1+0.0175)^6 x (1+IFR6,2)^2 = (1+0.02)^8
(1+0.0175)^6 x (1+IFR6,2)^2 = (1+0.02)^8
1.0175^6 x (1+IFR6,2)^2 = 1.02^8
1.1097 x (1+IFR6,2)^2 = 1.1717
(1+IFR6,2)^2 = 1.1717 / 1.1097
(1+IFR6,2)^2 = 1.0558
1+IFR6,2 = 1.0558^(1/2)
1+IFR6,2 = 1.0275
IFR6,2 = 0.0275
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Up1
What? Your original question and follow-ups seems totally different, even the answers.
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Up1
Yea its just a different question but would use the same concept to get to the answer….I just thought i send you a full version of a question i found online. please note the 6, 2 and 8 after the bracket in the equation is to the power of 6, 2 and 8
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Up1
any input on this one Min?
its mainly here I’m getting lost with the algebra:
(1+0.0175)6 x (1+IFR6,2)2 = (1+0.02)8
IFR6,2 = 0.0275
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Up0
Maybe this is easier to see, how do they get to that answer, this is all that is given
(1+0.0175)6 x (1+IFR6,2)2 = (1+0.02)8
IFR6,2 = 0.0275
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