What is the size of eight equal annual payments to repay a loan of $1,000? The first payment is due one year after receiving the loan? The interest rate is 10% per year. Hint (at_Page 21) The constant amount or payment (PMT) per interest period is calculated using the formula: PV(RATE(1+RATE)NPER (1+ RATE)NPER – 1 PMT = RATE = effective interest rate per interest period = number of compounding (interest) periods = present value or principle or initial amount at the start NPER PV

What is the size of eight equal annual payments to repay a loan of $1,000? The first payment is due one year after receiving the loan? The interest rate is 10% per year. Hint (at_Page 21) The constant amount or payment (PMT) per interest period is calculated using the formula: PV(RATE(1+RATE)NPER (1+ RATE)NPER – 1 PMT = RATE = effective interest rate per interest period = number of compounding (interest) periods = present value or principle or initial amount at the start NPER PV

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Find i (the rate per period) and n (the number of periods) for the following loan at the given annual rate. Monthly payments at $291.40 are made for 8 years to repay a loan at 6.8% compounded monthly. (Type an integer or decimal rounded to four decimal places as needed.) Find i (the rate per period) and n (the number of periods) for the following loan at the given annual rate.
The current amount A of a principal P invested in a savings account paying an annual interest rate r is given by A = P(1+r/n)^(rt) where n is the number of times per year the interest is compounded. For continuous compounding, A = Pe^(rt). Suppose $10,000 is initially invested at 2.5 percent (r = 0.025). a. Plot A versus t for 0 ≤ t ≤ 20 years for four cases: continuous compounding, annual compounding (n = 1), quarterly compounding (n = 4), and monthly compounding (n = 12). Show all four cases on the same subplot and label each curve. On a second subplot, plot the difference between the amount obtained from continuous compounding and the other three cases. b. Redo part a, but plot A versus t on log-log and semilog plots. Which plot gives a straight line?
For each of the following cases, indicate (a) what interest rate columns and (b) what number of periods you would refer to in looking up the future value factor. (1) In Table 1 (future value of 1): Number of Annual Rate Years Invested Compounded Case A 5% 5 Annually Case B 8% 6 Semiannually Case A Case B . (a) % % (2) In Table 2 (future value of an annuity of 1): Annual Rate Number of Years Invested Compounded Case A 6% 9 Annually Case B 8% 5 Semiannually Case A Case B (b) periods periods (a) (b) % periods % periods
Find the amount of interest and the maturity value of the following loan. Use the formula MV =P+I to find the maturity value. Round your answers to the nearest cent. Principal Rate (%) Time Interest Maturity Value $100,000 7 4 months
Consider a business loan maturing in three years that has three remaining annual payments in one, two, and three years. The annual payments are all equal to $2 Million. While analyzing the loan, you are using a YTM equal to 9%. Determine the duration of the loan. 1.94 O 2.00 O 1.91 O 3.00 O 1.83
A bank makes a loan with the following characteristics: monthly payments for 10 years, with an APR of 6%. The amount loaned is $200,000. What is the duration of the loan? What is the expected change in loan value if the interest rate decreases by 1 percentage point immediately after approving the loan. Choose the closest answer below. 5.32 years; -$10,037 3.21 years; $6,056 4.55 years; -$8,577 6.74 years; $12,716
Suppose you take out a margin loan for $71,000. The rate you pay is an effective rate of 5.6 percent. If you repay the loan in six months, how much interest will you pay? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
You have been assigned to estimate the interest rates that your company may have to pay when borrowing money in the near future. The following information is available.kPR = 2%MR = 0.1% for a 1 year loan increasing by 0.1% for each additional yearLR = 0.05% for a 1 year loan increasing by 0.05% for each additional yearDR = 0 for a 1 year loan, 0.2% for a 2-year loan, increasing 0.1% for each additional yearExpected Inflation Rates Year 1 = 7% Year 2 = 5% Year 3 and thereafter = 3% a. Calculate the inflation adjustment (INFL) for a 5-year loan. b. Calculate the appropriate interest rate for a 5-year loan.
Consider two loans with a 1-year maturity and identical face values: a(n) 8.3% loan with a 0.99% loan origination fee and a(n) 8.3% loan with a 4.9% (no-interest) compensating balance requirement. Which loan would have the higher effective annual rate (EAR)? Why? The EAR in the first case is %. (Round to one decimal place.)
you are analyzing a GPM. the terms are $60,000 loan amount, 9% note rate, 30 years, monthly payments, OFV, payments in year one based based upon 7%, and payment in year two based on 8%. how much will you owe on this loan at the end of the second year? Please assist, using HP 10bII+.
Prepare the first row of a loan amortization schedule based on the following information. The loan amount is for $17,900 with an annual interest rate of 09.00%. The loan will be repaid over 22 years with monthly payments. 1. What is the Loan Payment? 2. What portion of this payment is Interest? 3. What portion of this payment is Principal? 4. What is the Loan balance after first monthly payment?
1. Suppose you borrow $16,000. The interest rate is 9%, and it requires 4 equal end-of-year payments. Set up an amortization schedule that shows the annual payments, interest payments, principal repayments, and beginning and ending loan balances. Round your answers to the nearest cent. If your answer is zero, enter "0".

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