Question

In: Finance

Loan Amortization Schedule for Investment Interest rate Year Beginning Principal Principal Payment Interest Payment Ending principal...

Loan Amortization Schedule for Investment

Interest rate Year Beginning Principal Principal Payment Interest Payment Ending principal Tax Savings
0.07 1 15,000 a. 1,050 b. c.
0.07 2
0.07 3
0.07 4
0.07 5
0.07

Fill in the blanks. Explain how to get the principal and ending principal.

Solutions

Expert Solution

First you need to calculate the yearly payment

Present value of Annuity = A*[(1-(1+r)-n)/r]

Where

A - Annuity payment = ?

r - rate per period = 7%

n - no. of periods = 5

15000 = A*[(1-1.07^-5)/.07]

= A*[(1-0.71298617948)/.07]

= A*4.100197436

A = 15000/4.100197436

= 3658.36

Year Opening Balance Total Payment interest paid principal paid end balance
1                15,000.00              3,658.36          1,050.00            2,608.36      12,391.64
2                12,391.64              3,658.36              867.41            2,790.95         9,600.69
3                   9,600.69              3,658.36              672.05            2,986.31         6,614.38
4                   6,614.38              3,658.36              463.01            3,195.35         3,419.03
5                   3,419.03              3,658.36              239.33            3,419.03                 0.00

Interest paid = Opening Balance*7%

Principal paid = Total Payment - Interest paid

End balance = Opening Balance - Principal paid


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