Based on the interest and the amount paid per month, the value of the contract to Charles River Kayakers (CRK) on January 1st is $4,574.
The full question assumes a rate of 1.5% per month. Seeing as the payment is constant, the amount is an annuity.
The present value of an annuity due is:
= Amount x ( 1 - ( 1 + rate) ^ -number of periods) / rate x ( 1 + rate)
Solving gives:
= 1,000 x ( 1 - ((1 + 1.5%)⁻⁵) / 1.5%) x (1 + rate)
= $4,854
Then you need to find the present value of this amount in January:
= 4,854 / ( 1 + 1.5%)⁴
= $4,574
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