Solve by using the sinking fund or amortization formula. (Round your answer to the nearest cent.) Sinking fund payment (in $) Sinking Fund Payment Payment Frequency every 3 months Time Period (years) Nominal Interest Rate (%) Compounded quarterly 6.0 Future Value (Objective) $9,000
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- 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. $26746 to be accumulated in 6 years; quarterly payments of $925 The interest rate needed is approximately __ % (Type an integer or decimal rounded to two decimal places as needed) Thank you so muchUsing 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 periodFind the amount of a perodic payment necessary fur the deposit of a sinking fund. Amount needed a = 60000 Frequency n = semi-annual Rate r = 2% Time t = 10 years
- 3. 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. FU $13,690 to be accumulated in 3 years; quarterly payments of $1025 The interest rate needed is approximately %. (Type an integer or decimal rounded to two decimal places as needed.)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. $35,245 to be accumulated in 6 years; quarterly payments of $1300 The interest rate needed is approximately %. (Type an integer or decimal rounded to two decimal places as needed.)Sinking FundPayment PaymentFrequency TimePeriod (years) NominalRate (%) InterestCompounded Future Value(Objective) $ every 3 months 3 6.0 quarterly $9,000
- Using the sinking fund table, complete: Required Amount Needed Freq of Payment Years Interest Rate Payment Amount end of each period $40,000 Quarterly 7 8%4. ( Fund A earns interest at a simple rate of i% a year. $P is invested in fund A. (a) What is the accumulated value in fund A at time t years. (b) Calculate the effective rate of interest in year 1, year 2 and year 3. Solution:6. Consider the following (incomplete) sinking fund schedule (table). Note that there is no payment at t = 2. You MUST show your work to answer each of the two parts of this problem. Time Interest Sinking Interest S.F. Bal. After Net in on Fund on Balance Years Loan Deposit $0 S.F. $0 Deposit on Loan $0 $0 $100 $2,000 1 $700 3 $795 $35.44 4. $0 (a) Find the net balance on loan at t = 3. (b) Find the sinking fund deposit at t= 4.
- Create 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 NumberWhat equal annual series of payments must bepaid into a sinking fund to accumulate the followingamounts?(a) $54,000 in 12 years at 7% compounded annually.(b) $38,000 in 15 years at 8% compounded annually.(c) $25,000 in 8 years at 6% compounded annually.(d) $13,000 in 10 years at 10% compoundedannuallyUse the sinking fund formula shown to the right to determine the semiannual payments with 6% interest are compounded semiannually for 4 years to accumulate $17,000. p=Arn1+rnnt−1 The semiannual invested payment is $