00:01
Hello, to compute the price of forward contract on the same zcb, we need to price the zcb at the time t equals to 4 and then calculate the forward price.
00:18
Let's build a 10 period binomial model for the short rate using the given parameters i .e.
00:24
R00 is equal to 5%, u is equal to 1 .1, d is equal to 0 .9 and q is equal to 1 divided by 2.
00:39
Using the binomial model, let's compute the short rate at each node of lattice.
00:44
We start with r00 equals to 5 % and then calculate the short rate at each subsequent node.
00:56
R00 is equal to 5%, r10 equals to r00 multiplied by d is equal to 5 % multiplied by 0 .9 that will be 4 .5%.
01:24
Similarly, r1 ,1 will be equals to r0 ,0 multiplied by u which will be 5 % multiplied by 1 .1 that will be 5 .5%.
01:45
R2 ,0 will be equals to r1 ,0 multiplied by d equals to 4 .5 % multiplied by 0 .9 which will be equals to 4 .05%.
02:07
R2 ,1 will be equals to r1 ,0 multiplied by u which will be equals to 4 .5 % multiplied by 1 .1 equals to 4 .95%.
02:24
Whereas, r2 ,2 will be equals to r1 ,1 multiplied by u which will be equals to 5 .5 % multiplied by 1 .1 which will be 6 .05%...