Present value of 14 year annuity due=3* (1- 1/ (1+ i)^ 14)/ (1- 1/ (1+ i))

Present value of 7 year annuity due=4.199* (1- 1/ (1+ i)^ 7)/(1- 1/(1+ i))

=>3* (1- 1/ (1+ i)^ 14)/ (1- 1/ (1+ i)))=4.199* (1- 1/ (1+ i)^ 7)/(1- 1/(1+ i))

=> 3* (1- 1/ (1+ i)^ 14)= 4.199* (1- 1/ (1+ i)^ 7)

=> (1- 1/ (1+ i)^ 7)= 4.199/ 3

=> (1- 1/ (1+ i)^ 7)= 1.3997

=> 1/ (1+ i)^ 7= 0.3997

=> (1+ i)^ 7= 1/ 0.3997

=> (1+ i)^ 7= 2.5019

=> (1+ i)= (2.5019)^ 1/7

=> (1+ i)= 1.1400

=> i= 1.1400- 1

=> i= 0.1400

= 14%