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Maslowich
3 years ago
8

C. D. Rom has just given an insurance company $34,500. In return, he will receive an annuity of $4,200 for 20 years. At what rat

e of return must the insurance company invest this $34,500 in order to make the annual payments? (Do not round intermediate calculations)

Business
1 answer:
vivado [14]3 years ago
8 0

Answer:

10.53%

Explanation:

In this question, we use the RATE formula that is shown in the attachment. Kindly find it below:

Data provided  

Present value = $34,500

Future value or Face value = $0

PMT = $4,200

NPER = 11 years × 2 = 22 years

The formula is shown below:  

= Rate(NPER;PMT;-PV;FV;type)  

The present value come in negative

So, after solving this, the rate of return is 10.53%

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Explanation:

In order to calculate the uniform annual investment that will you have to make on the child's 8th through 17th birthdays to meet this goal, we have to make the following calculations:

First we need to calculate the Amount you have at the end of child's 8th year = 600*(1+0.05)^4 + 600*(1+0.05)^3 + 600*(1+0.05)^2 + 600*(1+0.05)^1 = $2,715.38

Therefore, Value of this amount at the end of 17th year = $2715.38 * (1+0.05)^9 = $4,212.45

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