Create A Worksheet In Excel And Use The Following Syn 652085
Create A Worksheet In Excel And Use The Following Syntax To Answer 8q
Create a worksheet in Excel, and use the following syntax to answer 8 questions. The Excel worksheet must show answers from typing in the syntax and arguments. Complete in Excel using the formulas below for each problem. Find the future value =fv(rate,nper,pmt,[pv],type) Find the present value =pv(rate,nper,pmt,[fv],type) Payment =pmt(rate,nper,pv,[fv],type) Number of periods =nper(rate,pmt,pv,[fv],type) Yield (Interest rate) =rate(nper,pmt,pv,[fv],type) There are five arguments in each function. Rate is the interest rate per period. For example, if the interest rate per period is 5%, you will type .05 for this argument. Nper is the total number of periods. Pv is the present value, and fv is the future value. Pmt is the dollar amount of the periodic payment. The “type” argument tells Excel whether the cash flows occur at the end (0) or beginning (1) of the period. The bracket ,“[ ]’’, means that you will input a negative value in order to return a positive value for the answer.
Paper For Above instruction
Financial decision-making often relies on the application of present and future value calculations, which are fundamental tools in understanding the worth of investments, loans, and savings over time. Microsoft Excel provides a suite of functions—including FV, PV, PMT, NPER, and RATE—that facilitate these calculations by allowing users to input specific arguments to obtain precise financial metrics. This paper demonstrates how to effectively utilize these formulas through practical examples, highlighting their significance in personal finance and corporate decision-making.
In the context of savings and investments, the future value (FV) function is employed to project the amount accumulated over a specified period, considering the interest rate and periodic contributions. For example, if an individual invests a principal of $1,500 in a certificate of deposit (CD) that accrues at an annual interest rate of 3.5%, the FV formula can calculate the amount at maturity after five years. Using the syntax =fv(0.035, 5, 0, -1500), the answer aligns with choice c, $1,964.14, illustrating how initial investments grow over time with compound interest.
The present value (PV) function evaluates the current worth of a future sum, discounted at a specific rate. For instance, to determine what $20,000 due in 50 years is worth today with a discount rate of 7.5%, the formula =pv(0.075, 50, 0, -20000) yields a value close to $485.35, matching choice c. This application is crucial in assessing the attractiveness of long-term investments and liabilities.
Understanding bond yields is another critical aspect of finance. When purchasing a bond offering a future redemption value but no interim payments, the internal rate of return (IRR) can be calculated using the RATE function. For a bond costing $747.25, maturing in five years for $1,000, the formula =rate(5, 0, -747.25, 1000) approximates an interest rate of 6.60%, which corresponds to choice e. Recognizing these yields aids investors in evaluating the profitability of bond investments.
The time required for an investment to grow to a particular multiple is determined using the NPER function. For example, Janice's investment of $5,000 at an interest rate of 3.8% will triple over approximately 26.58 years, calculated with =nper(0.038, 0, -5000, 15000), explaining that it takes nearly 27 years to triple her funds, aligning with choice c. Such insights assist savers and financial planners in setting realistic timelines.
Future savings with periodic contributions can be projected using FV formulas that incorporate annuity payments. When saving $8,200 annually at 6.2%, the amount accumulated after two years—just after the second deposit—is computed through a combination of FV functions. Utilizing the formula =fv(0.062, 1, -8200, 0) + fv(0.062, 2, -8200, 0) yields a total close to $16,908, matching choice c. This informs savings strategies and goal setting.
Valuing an annuity involves summing the present value of a series of future payments. If an annuity pays $5,000 annually for 20 years at a 5% discount rate, its present value can be calculated with =pv(0.05, 20, -5000), which results in approximately $62,236, corresponding to choice e. This calculation helps determine fair purchase prices of annuities based on alternative investment yields.
For inheritance-based investments, the maximum annual withdrawal from a fund can be estimated using the PV of an annuity formula. Investing $275,000 at 8.25% over 20 years allows annual withdrawals of about $29,959, calculated by =pmt(0.0825, 20, -275000) and aligning with choice b. Such estimates are essential for estate planning and retirement income strategies.
Finally, when calculating the future value of a lump sum with semiannual compounding, the FV formula must incorporate periodic interest adjustments. For $1,500 invested at 6% interest compounded semiannually over five years, the formula =fv(0.06/2, 5*2, 0, -1500) yields approximately $1,915, consistent with choice b. This underlines the importance of understanding compounding frequency in investment growth projections.
In conclusion, mastering Excel's financial functions enables individuals and professionals alike to make informed and precise financial decisions. These tools allow for comprehensive analysis of investment-growth scenarios, bond valuations, savings plans, and retirement strategies, reinforcing their vital role in financial literacy and planning.
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