Suppose that 15 monthly payments of 100 each are followed by 10 monthly payments of 150 each. The effective monthly interest rate is 1% for the first 15 months and 2% for the last 10 months. Find the accumulated value of the series at the time of the final payments?

Q: A payment of $1200 is due in twelve months. Find the equivalent value at six months. The interest…

A: Given: The payment of $ 1200 is due in 12 months, So the future value will be $ 1,200 Time (t) = 6…

Q: money is worth 7.3%, compounded quarterly?

A: Present Value of future cash flow means the cash flows discounted at a given rate of return. FV*…

Q: What is the present value of a stream of monthly payments of $500 each over 10 years, if the…

A: Monthly payment (P) = $500 Interest rate = 10% Monthly interest rate (r) = 10%/12 =…

Q: What is the present equivalent of a uniform series of quarterly payments of $4,500 each for four…

A: Quarterly Payment = 4500 Time Period = Number of quarterly payments = 16 quarters Quarterly Payment…

Q: What is the required quarterly payment to repay a loan of $30,000 in six years? If the interest rate…

A: Computation:

Q: What is the present value of 10 equal payments of $16,500 to be made at the end of each year for the…

A: Present value of equal payments = equal payments x PVIAF (10%, 10 years)

Q: Consider the case where the Annual Percentage Rate (APR) is 15%. If the frequency of compounding is…

A: Annual Percentage rate = 15% Compounding = Quarterly Number of compounding per year = 4

Q: What is the present value of a stream of $800 cash payments, each to be made at the beginning of the…

A: Simple Annuity due refers to the payment system where amount paid or received in eac period is not…

Q: Suppose payments were made at the end of each month into an ordinary annuity earning interest at the…

A: Future value of an annuity is $55000 Annual interest rate is 5.5% per year compounded monthly Time…

Q: A sum of GH¢100 is to be paid at the end of each year for 20 years. The effective compound interest…

A: Hi There, Thanks for posting the questions. As per our Q&A guidelines, must be answered only one…

Q: What size monthly payments should occur when $10.000 is borrowed at 6% per year compounded monthly…

A: When the interest on interest is charged on monthly basis, it is known as monthly compounding. It…

Q: What is the simple interest on ₱ 30,000 for six months at a simple interest rate of 12% . What is…

A: Simple interest is interest on investment without any compounding. Compound interest is the interest…

Q: 1. What is the current equivalent of a series of fixed annual payments of each ($2000) if the first…

A: Present Value:  The present value is the value of cash flow stream or the fixed lump sum amount at…

Q: Given an interest rate of 6.0 percent per year, what is the current value of a perpetual stream of…

A: Value of the perpetuity in 4 years will be = Annual amount / interest rate = $ 36,000 / 0.06 = $…

Q: What amount will be paid at the beginning of every month for 10 years if the present value is 200,…

A: Payment at the beginning of every month = PV x r / [{1 - (1 + r)^(-n)} x (1 + r)] Here, PV = Present…

Q: If the nominal rate is 16.5% per year compounded quarterly, what is the equivalent effective rate of…

A: Since you have asked a question with multiple parts, we will solve the first 3 parts as per policy.…

Q: If interest is compounded semi-annually (twice a year), and the interest rate is 3% per 6 month…

A: Present value is the current value of a specified amount you will received in a future date,…

Q: If $14,000 is borrowed for 2 months and $82 is paid, then the annual simple interest rate is ____

A: Interest = p * r * t Interest = $82 principal = $14,000 r = rate of interest  t = time in years = 2…

Q: Suppose you were to receive $1,000 at the end of 10 years. If your opportunity rate is 10 percent,…

A: given, FV = $1000 N=10 R=10%

Q: A sum of money is deposited now in a savings account. The effective annual interest rate is 12% and…

A: There are various types of Bank Accounts, one of the basic and most commonly used is Saving's…

Q: Suppose payments were made at the end of each quarter into an ordinary annuity earning interest at…

A: The present value is the value of the sum received at time 0 or the current period. It is the value…

Q: If $6000 is invested in an account. After three years, the account has $7500 in it. If money is…

A: Question is based on the concept of Time value

Q: If the initial investment is $200,000, what would be the nominal annual rate of interest compounded…

A: Interest is the cost of borrowing the money.

Q: Suppose that you can pay 15,000,000 VND per month for the next 30 years. What is the largest loan…

A: The present value is the value of the sum received at time 0. It is the current value of the sum…

Q: What is the present value of monthly payments of $1000 for 5 years followed by monthly payments of…

A: To compute the present value of the payments we need to discount these cash flows. The sum of these…

Q: Find the present value of the following annuities: 100 payable every month for 5 years if the…

A: Present value (PV) also termed as current value refers to the sum of all future cash flow (CF) or…

Q: assume that you pay 10000 on a yearly basis for 10 years, how much will pay after ten years if the…

A: Given:Amount paid on yearly basis=10000Time period=10yearsInterest rate=5% compounded yearly

Q: Find the present value of a simple perpetuity of P10,000 payable semi-annually if the interest rate…

A: The formula to calculate the present value of the growing annuity is  Present value of annuity due=…

Q: What will be the future worth of series of 15 annual $100 payments if the nominal annual interest…

A: An interest rate method in which current interest is computed by multiplying the interest rate by…

Q: What is the present worth of a uniform series of 10 payments that begin one year from now in the…

A: Present Value is the amount of money's worth on the present day which to be received/paid in future,…

Q: Find the present value of a series of 15 monthly payments that start with $5,000 at the end of a…

A: Discount rate is 30% nominal monthly Monthly rate is  30%12=2.5% Total number of payments are 15…

Q: What is the future value of $20 a week for 10 years at 6% interest? Assume the first payment occurs…

A: Number of weeks in 10 years = 10 x 52 = 520 Interest rate per week = 6%/52 = 0.1153846% =…

Q: What is the future value in 10 years of 1500 payments received at the end of each year for tge next…

A: In the given question, 1,500 will be received (invested) at the end of each year for next 10 years.…

Q: With a present value of $130,000, what is the size of the withdrawals that can be made at the end of…

A: Present value of an amount is $130,000. Using present value annuity formula, quarterly withdrawals…

Q: How many months will it take to pay off a $705 debt, with monthly payments of $25 at the end of each…

A: EMI (EQUATED MONTHLY INSTALLMENT)- It is a fixed payment made by a borrowing party to the lending…

Q: Suppose payments were made at the end of each month into an ordinary annuity earning interest at the…

A: Annuity means number of payments made at equal interval of time and equal in size. Ordinary annuity…

Q: What cash payment is equivalent to making payments of ​$944.00 at the end of every six months for 9…

A: We need to use present value of annuity formula to calculate cash payment Cash payment(PV)…

Q: Given an interest rate of 12% per year, what is the present value of a perpetual stream of $1,000…

A: Present value of Perpetuity = Periodic amount/ rate of interest

Q: Suppose payments were made at the end of each month into an ordinary annuity earning interest at the…

A: Future value of annuity = P * [ (1+r)^n  - 1 ] /r  Where, r= rate of interest i.e. 9%/12 = 0.75% or…

Q: Your target is to earn an annualized rate of 5%, what is the most you can pay for a 135-day Treasury…

A: Provided a certain rate of return, present value (PV) is the current value of a potential amount of…

Q: Suppose you were to receive $1000 at the end of 10 years. if your opportunity rate is 10, what is…

A: Discounting is a way to compute the PV of receivable amount by considering appropriate rate or PVF.…

Q: A series of equal quarterly payments of $6,000 for 10 years is equivalent to what present amount at…

A: Information Provided: Quarterly payments = $6000 Years = 10 Interest rate = 12%

Q: If the interest rate is 9% compounded monthly, find the present value of 24 month payments of…

A: Interest rate is 9% Compounded monthly Amount of monthly payment is P1000.00 Time period 24 months…

Q: If a nominal interest rate of 8% is compounded continuously, determine the unknown quantity in each…

A: The future value of an amount can be defined as the value of the amount at some future point of…

Q: For total yearly payments of $10000 for 10 years, compare the compound am ted at the end of 10 years…

A: Given information: Annual payments : $10,000 Time period : 10 years The amount accumulated at the…

Q: You borrow $150,000 with a 20-year term at a9.3% (APR) variable rate and the interest rate can…

A: A mortgage is a debt instrument, secured by the collateral of specified real estate property, that…

Q: What is the equal payment series for 8 years that is equivalent to a payment series of $15,000 at…

A: Given information:  Payment series: $15,000 Increasing amount: $1,500 Period: 10 years Interest…