Question

In: Accounting

Consider the following investment offers regarding a product you have recently developed. A 10% interest rate...

Consider the following investment offers regarding a product you have recently developed. A 10% interest rate should be used throughout this analysis unless otherwise specified: Offer (I) – Receive $0.55m now and $196k from year 6 through 15. Also, if your product achieved over $100 million in cumulative sales by the end of year 15, you would receive an additional $3m. Assume that there is a 70% probability this would happen.

Offer (II) – Receive 30% of the buyer’s gross profit on the product for the next 4 years. Assume that the buyer’s gross profit margin is 60%. Sales in year 1 are projected to be $2m and then expected to grow by 40% per year.

Offer (III) – A trust fund would be set up, calling for semiannual payments of $202k for 8 years. On the 17th period, you would receive the compounded proceeds, which would then be discounted over the 8-year period back to the present at the specified annual rate

. Note: The term “k” is used to represent thousands (× $1,000).

Required: Determine the percentage difference between your most and least profitable alternatives, with the least profitable option as the basis for your calculation

Solutions

Expert Solution

PRESENT VALUE OF 1 @10% YEAR CASH FLOW PRESENT VALUE OF CASH FLOWS OFFER 2 SALES MARGIN 60% PROFIT 30% OF MARGIN (CASH FLOWS) PRESENT VALUE OF CSH FLOWS OFFER 3 HALF YEARLY HALF YEARLY
0.909 1 510000 463636.36 2000000 1200000.0 360000.00 327272.727 202000 202000
0.826 2 510000 421487.60 2800000 1680000.0 504000.00 416528.926 202000 202000
0.751 3 510000 383170.55 3920000.00 2352000.0 705600.00 530127.724 202000 202000
0.683 4 510000 348336.86 5488000.00 3292800.0 987840.00 674708.012 202000 202000
0.621 5 510000 316669.87 TOTAL 1948637.4 202000 202000
0.564 6 196000 110636.89 202000 202000
0.513 7 196000 100578.99 202000 202000
0.467 8 196000 91435.45 202000 202000
0.424 9 196000 83123.13 TOTAL 1616000 1616000
0.386 10 196000 75566.48 ` PRESENT VALUE OF PROCEEDS
0.350 11 196000 68696.80 COMPOUND PROCEEDS 3232000 1507751.85
0.319 12 196000 62451.64 3232000*.467
0.290 13 196000 56774.22
0.263 14 196000 51612.93
0.239 15 196000 46920.84
TOTAL SALES 4510000 2681098.63
LEAST OPTION IS OPTION 3RD
1 % DIFFERENCE BETWEEN OFFER 1 TO OFFER 3
DIFFERENCE AMOUNT 2681098.63-1507751.85
1173346.78
77.82 MEANS THERE IS 77.82% MORE RETURN IN OFFER I THAN OFFER III
2 % DIFFERENCE BETWEEN OFFER 2 TO OFFER 3
DIFFERENCE AMOUNT 440885.54

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