Total debt ratio is the ratio of total debt to total assets
i.e
Total debt ratio = Total debt / Total assets
But Total assets is nothing but total equity plus total debt
Now let us consider,
TD = Total debt
TE = Total equity
TA= Total assets
Therefore,
Total debt ratio = TD/TA
But as mentioned above
TA = TD + TE
total debt ratio = Total debt/(total debt+total equity)
total debt ratio = .34(given)
.34 = TD / (TD + TE)
Solving this equation yields:
0.34 = 1/(1+ TE/TD)
0.34(1+TE/TD) = 1
0.34 + 0.34TE/TD =1
.34(TE/TD) = 1 - 0.34
0.34 (TE/TD) = 0.66
0.34TE = 0.66TD
Now, Debt equity ratio is the ratio of Total debt to total equity
Debt-equity ratio = TD / TE
Debt-equity ratio = 0.34 / 0.66
Debt-equity ratio = 0.51515152
