To calculate
Step 1. Effective interest rate semi annually
= Nominal(6%,2)
Formula = r*(1+r/n)^n
= 5.91%
Step 2 . Calculating the cash flows(PMT)
Excel or calculation
Present value(PV) = 10,000
NO of installemnts(NPER) = 20
Interest rate = 5.91/4 (RATE)
Calculate PMT
PMT = -581.82
A loan of $10,000 is to be repaid by 20 equal quarterly payments at a nominal...
32. A loan of $1,000 is to be repaid by equal quarterly installments of X at the end of each quarter over a 3-year period at a nominal rate of interest of 4% compounded quarterly. Find X. Answer: 88.85
Math Interest Theory/ Financial Math
Please Use Formulas
1. (4pts) Find the present value, 2 years before the first payment is made, of an inheritance of twenty-year annuity, on which payments are $100 at the beginning of each quarterly year, assuming a nominal rate of interest of 6% convertible monthly, by (1) finding the equivalent interest rate convertible at the same frequency as payments. (2) using the formula ("Fission" method). (Answer: $4,169.15)
A $32,000 loan at 12% compounded quarterly is to be repaid by equal quarterly payments over a seven-year term. a. What will be the principal component of the sixth payment? (Round your answer to 2 decimal places.) b. What will be the interest portion of the twenty-second payment? (Round your answer to 2 decimal places.) c. How much will the loan’s balance be reduced by Payments 10 to 15 inclusive? (Round your answer to 2 decimal places.) d. How much...
QUESTION 4 You are given two loans, with each loan to be repaid by a single payment in the future. Each payment includes both principal and interest. The first loan is repaid by a 3000 payment at the end of four years. The interest is accrued at an annual nominal rate of discount equal to 5% compounded semiannually. The second loan is repaid by a 4000 payment at the end of five years. The interest is accrued at an annual...
A $27,000 loan at 8% compounded quarterly is to be repaid by equal quarterly payments over a seven-year term. a. What will be the principal component of the sixth payment? (Round your answer to 2 decimal places.) Principal component of the sixth payment $ . b. What will be the interest portion of the twenty-second payment? (Round your answer to 2 decimal places.) Interest portion $ . c. How much will the loan’s balance be reduced by Payments 10 to...
A $27,000 loan at 12% compounded quarterly is to be repaid by equal quarterly payments over a seven- year term. a. What will be the principal component of the sixth payment? (Round your answer to 2 decimal places.) Principal component of the sixth payment $ b. What will be the interest portion of the twenty-second payment? (Round your answer to 2 decimal places.) Interest portion $ C. How much will the loan's balance be reduced by Payments 10 to 15...
A $26,000 loan at 8% compounded quarterly is to be repaid by equal quarterly payments over a seven-year term. a. What will be the principal component of the sixth payment? (Round your answer to 2 decimal places.) Principal component of the sixth payment $ . b. What will be the interest portion of the twenty-second payment? (Round your answer to 2 decimal places.) Interest portion $ . c. How much will the loan’s balance be reduced by Payments 10 to...
A $29,000 loan at 12% compounded quarterly is to be repaid by equal quarterly payments over a seven-year term. a. What will be the principal component of the sixth payment? (Round your answer to 2 decimal places.) Principal component of the sixth payment $ . b. What will be the interest portion of the twenty-second payment? (Round your answer to 2 decimal places.) Interest portion $ . c. How much will the loan’s balance be reduced by Payments 10 to...
5.2 A loan is being repaid with 20 payments of $1,000 at the end of each quarter. Given that the nominal rate of interest is 8% per year compounded quarterly, find the outstanding balance of the loan immediately after 10 payments have been made|| (a) by the prospective method, Bm Lan-mi anli (b) by the retrospective method. L(1 + i)m - Asmi
(1 point) A loan is being repaid with a series of payments at the end of each quarter for 9 years. If the amount of principal in the fourth payment is $200 find the amount of principal in the last 4 payments. Interest is at the rate of 5.2% convertible quarterly. ANSWER -$