You have the following data and information on PROGRP, a company producing computer systems for use in corporate treasuries

Cash flow assumptions and other information:

The above free cash flow forecasts over 2021-2025 reflect the high levels of capital expenditure (CAPEX) that will be required to grow PROGRP's business. From 2021 to 2025, it is expected that the company will grow EBIT at 9.5 per cent per annum. Beyond 2025, competition will have eroded margins and the industry sector will be entering the maturity phase of the industry life cycle. Growth in free cash flow is expected to continue. perpetually, at the expected average rate of growth for the economy of four per cent per annum. PROGRP's sales for 2020 were $ 9.990 million. For 2021, sales of $11,820 million are forecasted. Earnings for 2020 was $5000 million, with earnings of $2,430 expected for PROGRP in 2021. The book value of equity was $3,000 million as of the end of 2020, with 800 million PROGRP shares outstanding. PROGRP's interest-bearing debt stood at $300 million at the end of 2020. Taxes are calculated by applying the corporate tax rate (35%) to earnings before tax. Currently, the market price per share is $31.55. The after-tax cost of capital (WACC) for PROGRP is 9% Comparative industry average pricing ratios are P/S of 3.25, P/E of 14.5 and P/BV of 8.70.

a. Develop three market-based relative valuations of the per share value of PROGRP.

b. Estimate the Free Cash Flow to the Firm for PROGRP and develop an estimate of the per share value of PROGRP based on free cash flow.

c. Based on your valuations in a. and b., do you believe PROGRP to currently be fairly valued on a per share basis? Briefly justify your decision.

Answer all parts (a,b and c)

Forecast 2021 2022 2023 2024 2025 EBIT (Sm) 3502 3765 4047 4351 4677 Interest Expenses ($m) -13 -14 -15 -16 -17 Earning Before Tax ($m) 3489 3751 4032 4335 4660 Taxes (Sm) -1047 -1125 -1210 -1300 -1398 Depreciation Expenses (Sm) -1084 -1350 -1556 -1762 -1894 Net CAPEX ($m) -1980 -3590 -8860 -2710 -1960 Net Changes in NWC (Sm) 1160 1644 -1450 932 1002 Forecast 2021 2022 2023 2024 2025 EBIT (Sm) 3502 3765 4047 4351 4677 Interest Expenses ($m) -13 -14 -15 -16 -17 Earning Before Tax ($m) 3489 3751 4032 4335 4660 Taxes (Sm) -1047 -1125 -1210 -1300 -1398 Depreciation Expenses (Sm) -1084 -1350 -1556 -1762 -1894 Net CAPEX ($m) -1980 -3590 -8860 -2710 -1960 Net Changes in NWC (Sm) 1160 1644 -1450 932 1002