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Construct complete compound-interest recurrence models

Question 1 of 8

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The initial balance of a high-interest savings account is $14,244

The nominal annual interest rate is 1.8% p.a., compounded yearly. Use 1 year per year

No further deposits, withdrawals or fees occur. Interest is credited to the balance after each period. Use the ideal model without rounding the balance after each period

Let V(n) be the balance in dollars after n years, for non-negative integer n. Index 0 is the initial balance

1 mark

Construct the complete recurrence for these balances using V and n, including its starting equation

Format: Give V(0) and V(n+1) as equations, separated by ;. Use * for multiplication. Values are in dollars; omit $ inside the equations