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A bank credits interest on deposit using accumulation factors based on a variable force of interest. On 1 July 2026, a customer deposited 846 with

A bank credits interest on deposit using accumulation factors based on a variable force of interest. On 1 July 2026, a customer deposited £846 with the bank. On 1 July 2028, his deposit has grown to £1,099.

Assuming that the force of interest per annum is a + b t (on 1 July 2026 we fix t = 0, unit = year) during the period, find the force of interest per annum on 1 July 2027 (in % p.a.).

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