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    Finance Questions

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    1.
    If you deposit $1,000 each year in a savings account earning 4%, compounded annually, how much will you have in 10 years?

    2.
    You have decided to invest $500 in a mutual fund today and make $500 end-of-the-year investments in the fund each year until you retire for 40 years. Assuming an opportunity cost of 12%, what do you estimate that you will have in this account at retirement?

    3.
    You have borrowed $70,000 to buy a speed boat. You plan to make monthly payments over a 15-year period. The bank has offered you a 9% interest rate, compounded monthly. Create an amortization schedule for the first two months of the loan.

    4.
    Describe the differences between secured and unsecured short-term credit.

    5.
    The December 31, 1995 balance sheet for Spitco, Inc. is presented below.

    Spitco, Inc. Balance Sheet
    December 31, 1995
    Current assets $40,000
    Net fixed assets 20,000
    Total $60,000
    Accounts payable 11,000
    Notes payable 12,000
    Total $23,000
    Long-term debt (10%) 12,000
    Common equity 25,000
    Total $60,000

    Partial Income Statement for December 31, 1995
    Net operating income $10,291
    Less: interest income 1,200
    Earnings before taxes $9,091
    Less: taxes (34%) 3,091
    Net income $ 6,000

    a. Calculate Spitco's current ratio, net working capital, and return on total assets.
    b. Spitco feels that its current ratio is too far below the industry average of 2.40. To improve their liquidity, the treasurer of Spitco has devised a plan to issue $12,000 in long-term debt at 12% and pay off its notes payable. The funds would be invested in marketable securities at 7% interest when not needed to finance the firm's seasonal asset needs. The notes payable would remain outstanding through the year. Assume this plan had been implemented for 1993. The net income was $5,500. Calculate what the firm's current ratio, net working capital, and return on total assets would have been.
    c. Did Spitco improve their liquidity? What about their profitability?

    6.
    The Basic Sports Company produces graphite surf-casting fishing rods. The average selling price for one of their rods is $132. The variable cost per unit is $80. Basic Sports has average fixed costs per year of $90,000.
    a. What is the break-even point in units for Basic Sports?
    b. What is the break-even point in dollar sales?
    c. What would be the profit or loss associated with the production and
    sale of (1) 2,000 rods, and (2) 10,000 rods?
    d. Determine the degree of operating leverage for the two levels of
    production and sales given in part (c) above.

    7
    Table 6
    Hokie Corporation Comparative Balance Sheet
    For the Years Ending March 31, 1995 and 1996
    (Millions of Dollars)
    Assets 1995 1996
    Current assets:
    Cash $ 2 $ 10
    Accounts receivable 16 10
    Inventory 22 26
    Total current assets $ 40 $ 46
    Gross fixed assets: $120 $124
    Less accumulated depreciation 60 64
    Net fixed assets 60 60
    Total assets $100 $106
    Liabilities and Owners' Equity
    Current liabilities:
    Accounts payable $ 16 $ 18
    Notes payable 10 10
    Total current liabilities $ 26 $ 28
    Long-term debt 20 18
    Owners' equity:
    Common stock 40 40
    Retained earnings 14 20
    Total liabilities and owners' equity $100 $106

    Hokie had net income of $26 million for 1996 and paid total cash dividends of $20 million to their common stockholders.

    Calculate the following financial ratios for the Hokie Corporation using the information given in Table 6 and 1996 information.
    current ratio
    acid test ratio
    debt ratio
    long-term debt to total capitalization
    return on total assets
    return on common equity

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    https://brainmass.com/business/annuity/finance-questions-216626

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    Please see the attached file. All answers/explanations in blue.

    1.
    If you deposit $1,000 each year in a savings account earning 4%, compounded annually, how much will you have in 10 years?

    We have to find the future value of an annuity. The annuity amount is $1,000, period is 10 years and the rate is 4%. We use the FVIFA table to get the FV factor. For 10 years and 4%, the FVIFA factor is 12.006
    Amount at the end of 10 years = 1,000 X 12.006 = $12,006

    2.
    You have decided to invest $500 in a mutual fund today and make $500 end-of-the-year investments in the fund each year until you retire for 40 years. Assuming an opportunity cost of 12%, what do you estimate that you will have in this account at retirement?

    We have to find the future value of an annuity. It is annuity due since the first deposit is made at the beginning. Amount is $500, period is 40 and the rate is 12%. We first find the FV of ordinary annuity and then convert that to annuity due. The FVIFA factor for 40 years and 12% is 767.0914.
    The FV of ordinary annuity = 500X767.0914 = $383,545.70
    To convert to annuity due we multiply by (1+rate) = (1+12%)
    FV of annuity due = 383,545.70 X 1.12 = $429,571.18. This is the amount at retirement.

    3.
    You have borrowed $70,000 to buy a speed boat. You plan to make monthly payments over a 15-year period. The bank has offered you a 9% interest rate, compounded monthly. Create an amortization schedule for the first two months of the loan.

    In an amortization schedule, we show the monthly payment made, its break up in terms of interest and principal and the outstanding loan balance.
    We first calculate the monthly payment. The monthly payment would be such that the present value of payments is equal to the loan amount. We use the PV of annuity formula to get the monthly payment
    PV = PMT [(1 - (1 / (1 + i)^n)) / i]
    Where
    PV = loan amount = 70,000
    PMT = monthly payment
    i = interest rate = 9%/12 = 0.75% per month
    n = time period = 15X12 = 180 months
    70,000 = PMT [(1-(1/(1+0.75%)^180))/.75%]
    PMT = $710 (rounded)
    We can now make the amortization table

    Month Opening Loan balance Payment Interest Principal Closing Loan Balance
    (1) (2) (3) = (1) X 0.75% (4) = (2)-(3) (5) = (1)-(4)
    1 70,000.00 710.00 525.00 185.00 69,815.00
    2 ...

    Solution Summary

    The solution explains various finance questions relating to time value of money and ratio calculations

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