Question

Kathys rich uncle promises her an allowance of $10,000 per month for 6 months, with the first allowance to be made 1 month from today. If the interest rate is 0.596 per month, what is the present value of the promised allowance o a. The present value of investment is $60.000. O b. The present value of investment is $58,963.84. O c. The present value of investment is $4,785.69. d. The present value of investment is S49,258.66

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Answer #1

b. The present value of investment is $58963.84 ,

Present value of ordinary annuity = payment / interest* [1 - 1/(1+interest)number of periods]

=$10000/0.005 * [1 - 1/(1+0.005)6]

=$10000/0.005 * [1 - 1/(1.005)6]

=$10000/0.005 * [1 - 1/1.030378]

=$10000/0.005 * 0.029482

=$58964 (rounded off)

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