The diagram below shows a binomial tree for a 6.5% coupon bond based on an interest rate volatility of 10%.

Create a model and and compute the price of the bond.

0 2 3 uuu node rate price coupon 100.000000 6.500000 r23uu 0.096030 ? 6.500000 uud r12u 0.084810 ? 6.500000 100.000000 6.500000 ro 0.075000 ? r23ud 0.078620 ? 6.500000 udd r12d 0,069440 100.000000 6.500000 6.500000 r23dd 0.064370 ? 6.500000 ddd 100.000000 6.500000 0 2 3 uuu node rate price coupon 100.000000 6.500000 r23uu 0.096030 ? 6.500000 uud r12u 0.084810 ? 6.500000 100.000000 6.500000 ro 0.075000 ? r23ud 0.078620 ? 6.500000 udd r12d 0,069440 100.000000 6.500000 6.500000 r23dd 0.064370 ? 6.500000 ddd 100.000000 6.500000