Anita borrows 540,000 at annual effective interest rate 3%. She repays this loan by paying off only the interest due at the end of each year to the lender and depositing a level amount Q at the end of each year into a sinking fund account paying 6% APY. The goal is to accumulate the full balance of the loan amount in the sinking fund at the end of 10 years.
b. What rate (AEIR) does Anita end up paying on this loan?
We see that using excel the rate Anita ends up paying on the
loan=RATE(10,540000*3%+540000*6%/(1.06^10-1),-540000)
=1.050%
Anita borrows 540,000 at annual effective interest rate 3%. She repays this loan by paying off only the interest due at the end of each year to the lender and depositing a level amount Q at the end of...
thumbs up for correct solution 10. Anita borrows 540,000 at annual effective interest rate 3%. She repays this loan by paying off only the interest due at the end of each year to the lender and depositing a level amount Q at the end of each year into a sinking fund account paying 6% APY. The goal is to accumulate the full balance of the loan amount in the sinking fund at the end of 10 years. a. Find the...
A student takes out a five-year loan of 1000. interest on the loan is at an annual effective interest rate of i. at the end of each year, the student pays the interest due on the loan and makes a deposit of twice the amount of that interest payment into a sinking fund. the sinking fund credits interest at an annual effective rate of 0.8i. the sinking fund will accumulate the amount needed to pay off the loan at the...
Dominic borrows 7200 dollars today, and agrees to repay the loan by making annual interest payments to the lender, and by also accumulating a sinking fund with increasing annual deposits to repay the principal. The interest rate on the loan is 8.8 percent, and the interest paid on the sinking fund is 6.7 percent, both effective. If the loan is to be settled 15 years from now, and the sinking fund deposits increase by 7 dollars per year, what is...
Please post with mathematical formulas please, no an excel sheet 2. The lender of a loan of 175000 receives interest payments at the end of each year for 25 years at an effective annual interest rate of i, and in addi tion, will receive a lump-sum repayment of the principal along with the 25th interest payment. The borrower will pay the annual interest to the lender and accumulate the 175000 by making 25 level annual deposits at the end of...
Claire repays a loan to banker Maggie by amortization method at 6% effective. She makes 25 equal payments of $1000 at the end of each year. If the amount of interest in each payment is invested by Maggie at 6% effective as she receives the payments. What is the accumulated amount of the reinvested interest at the end of the 25th year?
(20 points) You borrow $3000 for four years at an annual effective interest rate of i. The investor pays interest only on the loan at the end of each year and accumulates the amount necessary to repay the principal at the end of four years by making level payments at the end of each year into a sinking fund (an account used to accumulate money needed to pay back a debt). The sinking fund earns an annual effective interest rate...
Helen borrows $20000 to be repaid over 15 years with level annual payments with an annual effective interest rate of 8%. The first payment is due one year after she takes out the loan. Helen pays an additional $4000 at the end of year 9 (in addition to her normal payment). At that time (the end of year 9) she negotiates to pay off the remaining principal at the end of year 14 with a sinking fund. The sinking fund...
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A loan is repaid with annual year-end payments of 15,000. The effective rate of interest is 3%. How much interest is paid in the final payment? Note: you are not given the original amount of the loan nor are you given the number of payments. This problem, however, can be solved.
21. Dr. Rock takes out a loan for 100.000. The annual effective interest rate on the loan is 10%. Dr. Rock repays the loan by making payments at the end of each year. With the exception of the final payment, the payment amount is equal to three times the interest due. Dr. Rock's final payment is the balance due at that time, and the loan is arranged so that final payment does not exceed 1000. (a) How many payments does...