Question

In: Finance

You will have to make 15 annual payments of $7.5 million each with the first payment...

You will have to make 15 annual payments of $7.5 million each with the first payment in eight years. If you can earn 6.5% interest, how much must you deposit today to cover your obligation?

Solutions

Expert Solution

Step-1:Calculating present value of annual payments seven years from now
Present value = Annual payments * present value of annuity of 1
= $       7.50 * 9.402669
= $    70.52 million
Working:
Present value of annuity of 1 = (1-(1+i)^-n)/i Where,
= (1-(1+0.065)^-15)/0.065 i 6.50%
= 9.402669 n 15
Step-2:Calculation of present value of amount now
Present value = Present value calculated above 7 years from now*Present value of 1
= $    70.52 * (1.065^-7)
= $    70.52 * 0.643506
= $    45.38 million
Thus,
Amount to be deposited today $    45.38 million

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