Task 1 Weight 30 points Ella has just tumed 20 years old. In exactly five years, she will take over Uncle Sverre's apartment Fynde all The apartment's market value is currently NOK 8 million, and the value is expected to increase on average 5% per years in the next five years. To buy out the other heirs, Ella will need to loan finance 70% of the market value at the time of acquisition. The repayment will made in accordance with the terms of an ordinary annuity loan with monthly payment terms of 4% nominal, arrears interest per years and a 20-year repayment period. Show carefully how to calculate the answers to the questions below: (a) 5p How much equity does Ella need at the time of acquisition? (6) 5p What monthly amount is required to repay the loan in full after 20 years? Assume that the loan is to be operated as an ordinary annuity loan with arrears ing of interest Ella wants information about the connection between the repayment of the loan and her ownership interest in the apartment. She has therefore asked you to answer the questions below subject to that the apartment value continues to increase by 5% per years also in the years after the takeover (c) 10p Calculate Ella's ownership share on her 40th birthday given that she pays monthly the amount calculated in (b) above. (d) 10p Calculate the monthly amount that is compatible with Ella owning 50% of the apartment on his 40th birthday