Vilas company is considering a capital investment of $190,900 in additional production facilities. the new machinery is expected to have a useful life of 5 years with no salvage value. depreciation is by the straight-line method. during the life of the investment, annual net income and net annual cash flows are expected to be $11,600 and $49,900, respectively. vilas has a 12% cost of capital rate, which is the required rate of return on the investment.

required:

1. compute the cash payback period.

2. compute the annual rate of return on the proposed capital expenditure.

3. using the discounted cash flow technique, compute the net present value.

See below.

Explanation:

For payback period we use,

Payback = Initial outlay / Annual cash flow

Payback = 190,900/49,900 = 3.82 years

Annual rate of return is calculated as follows,

Annual rate of return = Average profit / Initial outlay *100%

Annual Rate of return = 11600/190,900) *100% = 6.08%

To calculate the NPV we discount the cash flows.

12% annuity factor for 5 years = 3.6048

PV of cash flows = 49,900*3.6048 = $179,879.52

NPV = 179879.52 - 190,900 = -$11,020.48  (negative)

Hope that helps.

it is a i took the test.

of the three mortgage options that demarco and tanya have to choose from, the balloon payment mortgage would be their best option, over adjustable payment and fixed payment plans.ultimately, the balloon payment plan would save demarco and tanya overall, in interest, would cost less monthly, and they would only have to make these payments for 8 years, opposing to 30 years for adjustable or fixed payment plans. 

overall, demarco and tanya would save $80,811 if they chose balloon payments over fixed payments, and would save $116,711 if they choose balloon payments over adjustable payments. benefits with choosing fixed payments over adjustable payments is that, in the end, the payments will still be $836.30 a month, while with adjustable payments, the initial monthly payments will be $763.38 to $1082.70 a month, ultimately leading to a more costly purchase. benefits with choosing fixed payments over balloon payments are not present. benefits in choosing adjustable payments over is that it has a lower interest rate, and starts with lower monthly payments initially. benefits in choosing adjustable payments over balloon payments include a lower interest rate, and lower initial monthly payments. benefits in choosing balloon payments over fixed payments include lower interest rates, lower overall price, lower monthly payments, takes less time to pay off, and does not require a downpayment. benefits in choosing balloon payments over adjustable payments include, lower monthly payments (when averaged), takes less time to pay off, and lower overall price.

hence, option c, balloon payments, is the best option for demarco and tanya to make this purchase, for it will save them a minimum of $80811, and a maximum of $116,711.