Principal repayment and the outstanding balance


Question:

TIME    LOAN BALANCE    YEAR-END INTEREST    YEAR-END PAYMENT    AMORTIZATION OF LOAN
DUE ON BALANCE

0    $1,000 $80 $301.92 $221.92
1    $301.92
2    $301.92
3    $301.92
4    0    0    x

4-year amortizing loan. Borrow $1,000 initially and repay it in four equal annual year-end payments.

A) If the interest rate is 8%, show that the annual payment is $301.92

B) Fill in the table; show how much of each payment is interest verses principal repayment and the outstanding balance on the loan at each date.

C) Show that the loan balance after 1 year is equal the year-end payment of $301.92 times the 3-year annuity factor.

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Finance Basics: Principal repayment and the outstanding balance
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