An investment of $11,550 is deposited for 3 years at 2.2% compounded monthly. At this point, the interest rate is chan annually. The investment earns interest for 5 more years. What is the value of N₂? now HH $11,550 N₁ = ? IY₁ = ? CY₁ = ? 3y FV₁ PV₂ N₂ = ? IY₂ = ? CY₂ = ? ||| 8y FV₂
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- Find the accumulated value of an investment of $15,000 for 4 years at an interest rate of 4.5% if the money is a. compounded semiannually; b. compounded quarterly; c. compounded monthly d. compounded continuously. Round answers to the nearest cent. a. What is the accumulated value if the money is compounded semiannually?if an investment pays interest at a rate of 8% compounded semi annually, then an investment of $1000 for 3 years would be found in a table using the future value of 1 table for a. 3 periods at 8% b. 8 periods at 3% c. 12 periods at 2 % d. 6 periods at 4%1. A lump sum of $30,000 is invested at 6% compounded monthly for 15 years. For 15 years it then pays out a payment at the end of every month while earning 5.4% compounded monthly. What is the payment amount of the annuity? Follow the steps below. a. Draw a timeline HERE. b. Identify the following values: CY = PY = N (number of compounds) = N (number of payments) = i for accumulation phase = i for annuity payment phase = c. Calculate the accumulation value of PV d. Then, using the value at 15 years you can solve for the annuity payment amount (this is the answer to the question).
- A one-time investment is made in the amount of $9,200 for 15 years at an APR of 6%. Compound Interest: , where is the final amount, is the principal invested, is the interest rate per compounding period, and is the number of compounding periods. Compounded Principal Interest Rate per Compounding Period Number of Compounding Periods Write the Compound Interest Formula Final Amount Annually $9,200 6% 15 ? = 9,200(1 + 0.06)^15 $22,048.34 Semi-Annually $9,200 Quarterly $9,200 Monthly $9,200 Weekly $9,200 Daily $9,200u) $15,000 is invested in an account at fime 0. At the end of 4 years, an additional $15,000 1s invested into the same account. The account is expected to return 9% interest (compounded annually). a) What is the value in the account at the end of 10 years? $(a) If $5,500 is invested at 1.35% interest, find the value (in dollars) of the investment at the end of 4 years if the interest is compounded as follows. (Round your answers to the nearest cent.) (i) annually (ii) quarterly (iii) monthly 2$ (iv) weekly (v) daily 2$ (vi) continuously $ (b) If A(t) is the amount of the investment at time t for the case of continuous compounding, write a differential equation satisfied by A(t). (Let A represent A(t).) dA dt Find the initial condition satisfied by A(t). A(0) =