A fund is being formed by monthly deposit of P2,000 at 6% compounded monthly a) Find the amount after a year b) What is the amount in the fund just after the 5 deposit? c) Construct the sinking fund schedule for a 5 month period.
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A fund is being formed by monthly deposit of P2,000 at 6% compounded monthly
a) Find the amount after a year
b) What is the amount in the fund just after the 5 deposit?
c) Construct the sinking fund schedule for a 5 month period.
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Solved in 4 steps
- A sinking fund amounting to $21,000 is to be created by making payments at the beginning of every year for 6 years. Interest earned by the fund is 5.9% compounded annually. Determine the size of the penodic payment and compute the interest earned during the fourth payment interval. Verify your answer by checking the sinking fund schedule. The size of the payment is SUsing the sinking fund formula or a financial calculator, complete the following: (Do m answer to the nearest cent.) $ Required amount 24,900 Frequency of payment Quarterly Length of time 7 years Interest rate 8 % Payment amount end of each periodSolve by using the sinking fund or amortization formula. (Round your answer to the nearest cent.) Sinking fund payment (in $) Sinking FundPayment PaymentFrequency TimePeriod (years) NominalRate (%) InterestCompounded Future Value(Objective) $ every 3 months 4 6.0 quarterly $7,000
- Find the interest rate needed for the sinking fund to reach the required amount. Assume that the compounding period is the same as the payment period. $21,657 to be accumulated in 4 years; quarterly payments of $1225.Find the amount of each payment to be made into a sinking fund so that enough will be present to accumulate the following amount. Payments are made at the end of each period. The interest rate given is per period. $49,000; money earns 4% compounded semiannually for 13.5 yearsFind the amount of each payment to be made into a sinking fund so that enough will be present to accumulate the following amount. Payments are made at the end of each period. The interest rate given is per period. 4) $8900; money earns 5% compounded annually; 13 annual payments Please show all workings step by step.
- determine the size of the payments that must be made to a sinking fund in order to accumulate $233,188 if the interest rate is 5.25% compounded quarterly and payments are made for 7 1/4 years. Use TVM solverFind the amount of periodic payment necessary for the deposit to a sinking fund. (Round your answer to the nearest cent.) Amount Needed A Frequency Rate Time $45,000 monthly 4% 35 yrCreate a complete sinking fund schedule and calculate the total payments and interest earned needed for a fund of $9,000 one year from now. The fund will receive deposits made at the end of every three months and earns 5% compounded quarterly. Payment Number 1 2 3 4 Total Payment Amout at End ($) (PMT) Number Number Number Number Total PMT = Number Interest Earned or Accrued ($) (INT) Number Number Number Number Total INT Number Principal Balance Accumulated at End of Payment Interval ($) (BAL) Number Number Number Number
- Find the interest rate needed for the sinking fund to reach the required amount. Assume that the compounding period is the same as the payment period. $29,488 to be accumulated in 5 years; quarterly payments of $1275. %- The interest rate needed is approximately (Type an integer or decimal rounded to two decimal places as needed.)A debt of $1500 bearing at 12% compounded annually is to be discharged by the sinking fund method. If six annual deposits are made into a fund which pays 6% compounded monthly. a. Find the annual interest payment b. Find the size of the annual deposit into the sinking fund. c. What is the annual cost of this debt? d. Construct the sinking fund schedule. Period Interest Sinking Fund Interest Deposit earned Sinking Fund Balance Net amount loanFor the sinking fund, use Table 12-1 to calculate the amount (in $) of the periodic payments needed to amount to the financial objective (future value of the annuity). (Round your answer to the nearest cent.) Sinking FundPayment PaymentFrequency Time Period(years) NominalRate (%) InterestCompounded Future Value(Objective) $ every year 14 7 annually $750,000