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Homework answers / question archive / An investor plans to invest 1,500,000 (one million five hundred) Euros in a piece of agricultural land and hold it forever

An investor plans to invest 1,500,000 (one million five hundred) Euros in a piece of agricultural land and hold it forever

Finance

An investor plans to invest 1,500,000 (one million five hundred) Euros in a piece of agricultural land and hold it forever. The owner of this land harvests apples and earns each year a fixed net profit of 50,000 (fifty thousands) Euro forever starting from exactly one year from the time of the purchase. investment in farmland has low risk and the investor estimated the cost of capital to be 3%. Sho exe 4 3 a) Calculate the value of the land given its perpetual annual generated income. According to your calculations, is the land currently underpriced, fairly priced, or overpriced given b) your estmations? The investor read in agricultural journal that the apples prices and so his income will grow each c) year by 1%. Calculate the value of the land with this additional assumption. 4 The adjusent timberland investment costs 1,000,000 Euro and earns a perpetual annual profit of B) 100,000 Euro that grows each year at 3%. What is the implied cost of capital for this investment? 6

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Answer : As required Answers to question 1 and 2

(1) Calculation of Value of land using perpetual annual generated income :

Value of land = Annual Revenue Generated / Cost of Capital

Annual Revenue Generated = 50000 or 0.05 million (50000 / 1,000,000)

Value of land = Annual Revenue Generated / Cost of Capital

= 0.05 / 0.03

= 1.67 miilion or 1,666,666.67

(2) The Land is currently underprices because the value of land should be 1,666,666.67 but it is 1,500,000.