Matlab only

The monthly lease payment, Pmt, of a new car can be calculated by: Pu Pmt FU (1+i/12) (1+i/12) N i/12 where Pv and Fu are the present value and the future value (at the end of the lease) of the car, respectively. N is the duration of the lease in months, and i is the interest rate per year. You want to study the relationship between Pmt, i and N using graph. This is, (a) keep Pu, Fv and N fixed (i.e., Py = 15000, Fv = 5000 and N = 36), when the interest changes from i = 0.02 to i = 0.07, how Pmt changes? (b) keep Pu, Fv and i fixed (i.e., Pu = 15000, Fv = 5000 and i = 0.05), when the duration of lease in months N changes from 12 to 72, how Pmt changes? (c) What if the i and N change simultaneously? Keep Pv, Fv fixed (Pv = 15000, Fv = 5000), when the interest changes from i = 0.02 to i = 0.07 and duration of lease in months N changes from 12 to 72 simultaneously, how Pmt changes? Draw three plots in one figure. Hint: (a) subplot(m, n, p) to create multiple plots within one figure (b) meshgrid (2', y) to create 2-D grid coordinates (c) plot3(X,Y,Z) or surf(X,Y,Z) to create 3-D graph