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What’s the rule to find the change in basis points in decimals for the duration calculation?
D = ( P if yields down – P if yields up ) / (2*initial price* change in yield in decimals)
In one question, the change in basis points was 100 and the change in yield in decimals was said to be : 0.001
In another, the basis point change was 60, and the answer in the formula used 0.006 as change in yield in decimal.
As far as I’m concerned, they didn’t do the same conversion there…… yet the answers work ( I checked their calculations)….so what’s the deal? how do I turn basis point change into decimal yield change in order to use that formula??
thanks!


Current price of bond 108.00
10 bp increase makes price 106.50
10 bp decrease makes price 110.00.
portfolio value = $2 million.The expected change in the market value of this holding for a 100 basis point change in interest rates will be closest to:
a $124,000. b$322,600. c$645,200.
B is the answersecond exec:
price now 92.733
if price becomes 94.474 for a 60 bp drop and price becomes 91.041 for a 60 bp increase, the effective duration of the bond is:
a 1.85. b3.09. c6.17.B is the answer



I guess ill type
first exec calculation is:
(110106.5 ) / (2*108.5*0.001) = 16.13 = durationsecond exec calculation is:
(94.47491.041)/(2*92.733*0.006) = 3.09I did the execs in another way (not using this precise formula) and got the same answers
but if I were to use their formula, then I’m not sure whats happening



Yes that is correct Lulu123….you’re duration calculation is also correct….16.13%*1.0*2,000,000=322,600 … since the example didn’t specify the direction of the rate change and all are negative… the answer is B … the 10bps change had to be used in the denominator of your duration calculation since that was the change used to compute the prices in the numerator….. the 100bps change came into play when you were estimating the change in market value
10bps (or 0.1%) was the hypothetical change used to calculate the duration
100bps (or 1.0%)was the actual change used to estimate the change in the value of the portfolio


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