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                                                                  EXECUTION COPY


                                                                    Exhibit 4(b)
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                                     WARRANT
                          REGISTRATION RIGHTS AGREEMENT



                               INSILCO HOLDING CO.






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               Warrants to Purchase 62,400 Shares of Common Stock

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                          Dated as of November 9, 1998

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                          DONALDSON, LUFKIN & JENRETTE
                             SECURITIES CORPORATION





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         This Warrant Registration Rights Agreement (this "Agreement") is made
and entered into as of November 9, 1998, by and among Insilco Holding Co., a
Delaware corporation (the "Issuer"), and Donaldson, Lufkin & Jenrette Securities
Corporation (the "Initial Purchaser"), which has agreed to purchase the Warrants
of the Issuer issued pursuant to the Warrant Agreement (the "Warrant Agreement")
between the Issuer and National City Bank, as warrant agent (the "Warrant
Agent").

         The Warrants are being issued and sold in connection with the offering
by Insilco Corporation, a wholly owned subsidiary of the Issuer ("Insilco") of
120,000 Units each consisting of (i) $1,000 principal amount at maturity of 12%
Senior Subordinated Notes due 2007 (the "Notes") of Insilco and (ii) one
Warrant.

         This Agreement is made pursuant to the Purchase Agreement, dated
November 2, 1998 (the "Purchase Agreement"), by and between the Issuer, Insilco
and the Initial Purchaser. In order to induce the Initial Purchaser to purchase
the Warrants, the Issuer has agreed to provide the registration rights set forth
in this Agreement. The execution and delivery of this Agreement is a condition
to the obligations of the Initial Purchaser set forth in Section 9 of the
Purchase Agreement. Capitalized terms used herein and not otherwise defined
shall have the meaning assigned to them in the Warrant Agreement.

         The parties hereby agree as follows:

SECTION 1.  DEFINITIONS

         As used in this Agreement, the following capitalized terms shall have
the following meanings:

         Act:  The Securities Act of 1933, as amended.

         Affiliate:  As defined in Rule 144.

         Black Out Notice:  As defined in Section 4(b) hereof.

         Black Out Period:  As defined in Section 3(a) hereof.

         Closing Date:  The date hereof.

         Commission:  The Securities and Exchange Commission.

         Exchange Act:  The Securities Exchange Act of 1934, as amended.

         Expiration Date: 5:00 p.m. New York City time on August 15, 2007.

         Holders:  As defined in Section 2 hereof.

         Prospectus: The prospectus included in a Registration Statement at the
time such Registration Statement is declared effective, as amended or
supplemented by any prospectus

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supplement and by all other amendments thereto, including post-effective
amendments, and all material incorporated by reference into such Prospectus.

         Registration Statement: Any registration statement of the Issuer
relating to the registration for resale of Transfer Restricted Securities that
is filed pursuant to the provisions of this Agreement and including the
Prospectus included therein, all amendments and supplements thereto (including
post-effective amendments) and all exhibits and material incorporated by
reference therein.

         Rule 144:  Rule 144 promulgated under the Act.

         Transfer Restricted Securities: (a) Each Warrant and Warrant Share held
by an Affiliate of the Issuer and (b) each other Warrant and Warrant Share until
the earlier to occur of (i) the date on which such Warrant or Warrant Share has
been disposed of in accordance with a Registration Statement or the date on
which such Warrant Share is issued upon exercise of a Warrant in accordance with
a registration statement filed under the Act and (ii) the date on which such
Warrant or Warrant Share is distributed to the public pursuant to Rule 144 under
the Act.

SECTION 2. HOLDERS

         A Person is deemed to be a holder of Transfer Restricted Securities
(each, a "Holder") whenever such Person is (i) the holder of record of any
definitive certificated security which are Transfer Restricted Securities or
(ii) a beneficial holder of any global security which are Transfer Restricted
Securities.

SECTION 3. SHELF REGISTRATION

         (a) SHELF REGISTRATION. The Issuer shall prepare and cause to be filed
with the Commission on or before 120 days from the Closing Date pursuant to Rule
415 under the Securities Act a Registration Statement on the appropriate form
relating to resales of Transfer Restricted Securities by the Holders thereof.
The Company shall use its reasonable best efforts to cause the Registration
Statement to be declared effective by the Commission on or before 150 days after
the Closing Date.
         To the extent necessary to ensure that the Registration Statement is
available for sales of Transfer Restricted Securities by the Holders thereof
entitled to the benefit of this Section 3(a), the Issuer shall use its
reasonable best efforts to keep any Registration Statement required by this
Section 3(a) continuously effective, supplemented, amended and current as
required by and subject to the provisions of Section 4(a) hereof and in
conformity with the requirements of this Agreement, the Act and the policies,
rules and regulations of the Commission as announced from time to time, until
the earlier of (i) two years following the first date as of which no Warrants
remain outstanding and (ii) if all of the Warrants expire unexercised, the
expiration of the Warrants; provided that such obligation shall expire before
such date if the Issuer delivers to the Warrant Agent a written opinion of
counsel to the Issuer (which opinion of counsel shall be satisfactory to the
Issuer) that all Holders (other than Affiliates of the Issuer) of Warrants and
Warrant Shares may resell the Warrants and the Warrant Shares without
registration under the Act and without restriction as to the manner, timing or
volume of any such sale and instruct the Warrant Agent to remove the Private
Placement Legend from all Warrants and Warrant shares; and provided, further,
that notwithstanding the foregoing, any

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Affiliate of the Issuer may, with notice to the Issuer, require the Issuer to
keep the Registration Statement continuously effective for resales by such
Affiliate for so long as such Affiliate holds Warrants or Warrant Shares,
including as a result of any market-making activities or other trading
activities of such Affiliate. Notwithstanding the foregoing, the Issuer shall
not be required to amend or supplement the Registration Statement, any related
prospectus or any document incorporated therein by reference, for a period (a
"Black Out Period") not to exceed, for so long as this Agreement is in effect,
an aggregate of 60 days in any calendar year, in the event that (i) an event
occurs and is continuing as a result of which the Registration Statement, any
related prospectus or any document incorporated therein by reference as then
amended or supplemented would, in the Issuer's good faith judgment, contain an
untrue statement of a material fact or omit to state a material fact necessary
in order to make the statements therein, in the light of the circumstances under
which they were made, not misleading, and (ii)(A) the Issuer determines in its
good faith judgment that the disclosure of such event at such time would have a
material adverse effect on the business, operations or prospects of the Issuer
or (B) the disclosure otherwise relates to a material business transaction which
has not yet been publicly disclosed; provided that such Black Out Period shall
be extended for any period, not to exceed an aggregate of 30 days in any
calendar year, during which the Commission is reviewing any proposed amendment
or supplement to the Registration Statement, any related prospectus or any
document incorporated therein by reference which has been filed by the Issuer;
and provided, further, that no Black Out Period may be in effect during the
three months prior to the Expiration Date.

         (b) PROVISION BY HOLDERS OF CERTAIN INFORMATION IN CONNECTION WITH THE
REGISTRATION STATEMENT. No Holder of Transfer Restricted Securities may include
any of its Transfer Restricted Securities in any Registration Statement pursuant
to this Agreement unless and until such Holder furnishes to the Issuer in
writing, within 20 days after receipt of a request therefor, the information
specified in Item 507 or 508 of Regulation S-K, as applicable, of the Act for
use in connection with any Registration Statement or Prospectus or preliminary
Prospectus included therein. Each selling Holder agrees to promptly furnish
additional information required to be disclosed in order to make the information
previously furnished to the Issuer by such Holder not materially misleading.

SECTION 4. REGISTRATION PROCEDURES

         (a) In connection with the Registration Statement and any related
Prospectus required by this Agreement, the Issuer shall:

                  (i) use its reasonable best efforts to effect such
         registration to permit the sale of the Transfer Restricted Securities
         being sold in accordance with the intended method or methods of
         distribution thereof (as indicated in the information furnished to the
         Issuer pursuant to Section 3(b) hereof), and pursuant thereto the
         Issuer will prepare and file with the Commission a Registration
         Statement relating to the registration on any appropriate form under
         the Act, which form shall be available for the sale of the Transfer
         Restricted Securities in accordance with the intended method or methods
         of distribution thereof within the time periods and otherwise in
         accordance with the provisions hereof;

                  (ii) use its reasonable best efforts to keep such Registration
         Statement continuously effective and provide all requisite financial
         statements for the period specified in Section 3






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         of this Agreement. Upon the occurrence of any event that would cause
         any such Registration Statement or the Prospectus contained therein (A)
         to contain an untrue statement of material fact or omit to state any
         material fact necessary to make the statements therein, in the light of
         the circumstances under which they were made, not misleading or (B) not
         to be effective and usable for resale of Transfer Restricted Securities
         during the period required by this Agreement, the Issuer shall, subject
         to Section 3(a), file promptly an appropriate amendment to such
         Registration Statement or a supplement to the Prospectus, as
         applicable, curing such defect, and, in the case of an amendment, use
         its reasonable best efforts to cause such amendment to be declared
         effective as soon as practicable;

                  (iii) prepare and file with the Commission such amendments and
         post-effective amendments to the applicable Registration Statement as
         may be necessary to keep such Registration Statement effective for the
         applicable period set forth in Section 3; cause the Prospectus to be
         supplemented by any required Prospectus supplement, and as so
         supplemented to be filed pursuant to Rule_424 under the Act, and to
         comply fully with Rules 424, 430A and 462, as applicable, under the Act
         in a timely manner; and comply with the provisions of the Act with
         respect to the disposition of all securities covered by such
         Registration Statement during the applicable period in accordance with
         the intended method or methods of distribution by the sellers thereof
         set forth in such Registration Statement or supplement to the
         Prospectus;

                  (iv) advise the Initial Purchaser promptly and, if requested
         by the Initial Purchaser, confirm such advice in writing, (A) when the
         Prospectus or any Prospectus supplement or post-effective amendment has
         been filed, and, with respect to any applicable Registration Statement
         or any post-effective amendment thereto, when the same has become
         effective, (B) of any request by the Commission for amendments to the
         Registration Statement or amendments or supplements to the Prospectus
         or for additional information relating thereto, (C) of the issuance by
         the Commission of any stop order suspending the effectiveness of the
         Registration Statement under the Act or of the suspension by any state
         securities commission of the qualification of the Transfer Restricted
         Securities for offering or sale in any jurisdiction, or the initiation
         of any proceeding for any of the preceding purposes, and (D) of the
         existence of any fact or the happening of any event that makes any
         statement of a material fact made in the Registration Statement, the
         Prospectus, any amendment or supplement thereto or any document
         incorporated by reference therein untrue, or that requires the making
         of any additions to or changes in the Registration Statement in order
         to make the statements therein not misleading, or that requires the
         making of any additions to or changes in the Prospectus in order to
         make the statements therein, in the light of the circumstances under
         which they were made, not misleading. If at any time the Commission
         shall issue any stop order suspending the effectiveness of the
         Registration Statement, or any state securities commission or other
         regulatory authority shall issue an order suspending the qualification
         or exemption from qualification of the Transfer Restricted Securities
         under state securities or Blue Sky laws, the Issuer shall use its
         reasonable best efforts to obtain the withdrawal or lifting of such
         order at the earliest possible time;

                  (v) subject to Section 4(a)(ii), if any fact or event
         contemplated by Section 4(a)(iv)(D) hereof shall exist or have
         occurred, prepare a supplement or post-effective 

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         amendment to the Registration Statement or related Prospectus or any
         document incorporated therein by reference or file any other required
         document so that, as thereafter delivered to the purchasers of Transfer
         Restricted Securities, the Prospectus will not contain an untrue
         statement of a material fact or omit to state any material fact
         necessary to make the statements therein, in the light of the
         circumstances under which they were made, not misleading;

                  (vi) furnish to the Initial Purchaser, before filing with the
         Commission, copies of any Registration Statement or any Prospectus
         included therein or any amendments or supplements to any such
         Registration Statement or Prospectus (including all documents
         incorporated by reference after the initial filing of such Registration
         Statement), which documents will be subject to the review and comment
         of such Persons, if any, for a period of at least five Business Days,
         and the Issuer will not file any such Registration Statement or
         Prospectus or any amendment or supplement to any such Registration
         Statement or Prospectus (including all such documents incorporated by
         reference) to which the Initial Purchaser shall reasonably object
         within five Business Days after the receipt thereof. The Initial
         Purchaser shall be deemed to have reasonably objected to such filing if
         such Registration Statement, amendment, Prospectus or supplement, as
         applicable, as proposed to be filed, contains an untrue statement of a
         material fact or omit to state any material fact necessary to make the
         statements therein, in the light of the circumstances under which they
         were made, not misleading or fails to comply with the applicable
         requirements of the Act;

                  (vii) promptly prior to the filing of any document that is to
         be incorporated by reference into a Registration Statement or
         Prospectus, provide copies of such document to the Initial Purchaser,
         make the Issuer"s representatives available for discussion of such
         document and other customary due diligence matters, and include such
         information in such document prior to the filing thereof as the Initial
         Purchaser may reasonably request;

                  (viii) make available, at reasonable times, for inspection by
         the Initial Purchaser and any attorney or accountant retained by the
         Initial Purchaser, all financial and other records, pertinent corporate
         documents of the Issuer and cause the Issuer"s officers, directors and
         employees to supply all information reasonably requested by the Initial
         Purchaser, attorney or accountant in connection with such Registration
         Statement or any post-effective amendment thereto subsequent to the
         filing thereof and prior to its effectiveness;

                  (ix) if requested by the Initial Purchaser, promptly include
         in any Registration Statement or Prospectus, pursuant to a supplement
         or post-effective amendment if necessary, such information as the
         Initial Purchaser may reasonably request to have included therein,
         including, without limitation, information relating to the "Plan of
         Distribution" of the Transfer Restricted Securities and the use of the
         Registration Statement or Prospectus for market-making activities; and
         make all required filings of such Prospectus supplement or
         post-effective amendment as soon as practicable after the Issuer is
         notified of the matters to be included in such Prospectus supplement or
         post-effective amendment;

                  (x) furnish to the Initial Purchaser and each Holder upon
         request, without charge, at least one copy of the Registration
         Statement, as first filed with the Commission, and of each

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         amendment thereto, including all documents incorporated by reference
         therein and all exhibits (including exhibits incorporated therein by
         reference);

                  (xi) deliver to the Initial Purchaser and each Holder, without
         charge, as many copies of the Prospectus (including each preliminary
         prospectus) and any amendment or supplement thereto as the Initial
         Purchaser or such Holder reasonably may request; the Issuer hereby
         consents to the use (in accordance with law and subject to Section 4(d)
         hereof) of the Prospectus and any amendment or supplement thereto by
         each selling Person in connection with the offering and the sale of the
         Transfer Restricted Securities covered by the Prospectus or any
         amendment or supplement thereto and all market-making activities of the
         Initial Purchaser, as the case may be;

                  (xii) upon the request of the Initial Purchaser, enter into
         such agreements (including underwriting agreements) and make such
         representations and warranties and take all such other actions in
         connection therewith in order to expedite or facilitate the disposition
         of the Transfer Restricted Securities pursuant to any applicable
         Registration Statement contemplated by this Agreement as may be
         reasonably requested by the Initial Purchaser in connection with any
         sale or resale pursuant to any applicable Registration Statement. In
         such connection, the Issuer shall:

                           (A) upon request of the Initial Purchaser, furnish
                  (or in the case of paragraphs (2) and (3), use its reasonable
                  best efforts to cause to be furnished) to the Initial
                  Purchaser, upon the effectiveness of the Registration
                  Statement:

                                    (1) a certificate, dated such date, signed
                           on behalf of the Issuer by (x) the President or any
                           Vice President and (y) a principal financial or
                           accounting officer of the Issuer, confirming, as of
                           the date thereof, the matters set forth in Sections
                           6(cc), 9(a) and 9(b) of the Purchase Agreement and
                           such other similar matters as such Person may
                           reasonably request;

                                    (2) an opinion, dated the date of
                           effectiveness of the Registration Statement, of
                           counsel for the Issuer covering matters similar to
                           those set forth in Sections 9(e) and (f) of the
                           Purchase Agreement and such other matters as the
                           Initial Purchaser may reasonably request, and in any
                           event including a statement to the effect that such
                           counsel has participated in conferences with officers
                           and other representatives of the Issuer,
                           representatives of the independent public accountants
                           for the Issuer and have considered the matters
                           required to be stated therein and the statements
                           contained therein, although such counsel has not
                           independently verified the accuracy, completeness or
                           fairness of such statements; and that such counsel
                           advises that, on the basis of the foregoing (relying
                           as to materiality to the extent such counsel deems
                           appropriate upon the statements of officers and other
                           representatives of the Issuer) and without
                           independent check or verification), no facts came to
                           such counsel"s attention that caused such counsel to
                           believe that the applicable Registration Statement,
                           at the time such Registration Statement or any
                           post-effective amendment thereto became effective
                           contained an untrue





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                           statement of a material fact or omitted to state a
                           material fact required to be stated therein or
                           necessary to make the statements therein not
                           misleading, or that the Prospectus contained in such
                           Registration Statement as of its date contained an
                           untrue statement of a material fact or omitted to
                           state a material fact necessary in order to make the
                           statements therein, in the light of the circumstances
                           under which they were made, not misleading. Without
                           limiting the foregoing, such counsel may state
                           further that such counsel assumes no responsibility
                           for, and has not independently verified, the
                           accuracy, completeness or fairness of the financial
                           statements, notes and schedules and other financial
                           data included in any Registration Statement
                           contemplated by this Agreement or the related
                           Prospectus; and

                                    (3) a customary comfort letter, dated the
                           date of effectiveness of the Registration Statement,
                           from the Issuer"s independent accountants, in the
                           customary form and covering matters of the type
                           customarily covered in comfort letters to
                           underwriters in connection with underwritten
                           offerings, and affirming the matters set forth in the
                           comfort letters delivered pursuant to Section 9(h) of
                           the Purchase Agreement; and

                           (B) deliver such other documents and certificates as
                  may be reasonably requested by the Initial Purchaser to
                  evidence compliance with the matters covered in clause (A)
                  above and with any customary conditions contained in any
                  agreement entered into by the Issuer pursuant to this clause;

                  (xiii) prior to any public offering of Transfer Restricted
         Securities, cooperate with the selling Holders and their counsel in
         connection with the registration and qualification of the Transfer
         Restricted Securities under the securities or Blue Sky laws of such
         jurisdictions as the selling Holders may request and do any and all
         other acts or things necessary or advisable to enable the disposition
         in such jurisdictions of the Transfer Restricted Securities covered by
         the applicable Registration Statement; provided that the Issuer shall
         not be required to register or qualify as a foreign corporation where
         it is not now so qualified or to take any action that would subject it
         to the service of process in suits or to taxation, other than as to
         matters and transactions relating to the Registration Statement, in any
         jurisdiction where it is not now so subject;

                  (xiv) in connection with any sale of Transfer Restricted
         Securities that will result in such securities no longer being Transfer
         Restricted Securities, cooperate with the Holders to facilitate the
         timely preparation and delivery of certificates representing Transfer
         Restricted Securities to be sold and not bearing any restrictive
         legends; and to register such Transfer Restricted Securities in such
         denominations and such names as the selling Holders may request at
         least two Business Days prior to such sale of Transfer Restricted
         Securities;

                  (xv) use its reasonable best efforts to cause the disposition
         of the Transfer Restricted Securities covered by the Registration
         Statement to be registered with or approved by such other governmental
         agencies or authorities as may be necessary to enable the seller or
         sellers thereof to consummate the disposition of such Transfer
         Restricted Securities, subject to the


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          proviso contained in clause (xiii) above;

                  (xvi) provide a CUSIP number for all Transfer Restricted
         Securities not later than the effective date of a Registration
         Statement covering such Transfer Restricted Securities and provide the
         Warrant Agent with printed certificates for the Transfer Restricted
         Securities which are in a form eligible for deposit with The Depository
         Trust Company;

                  (xvii) otherwise use its reasonable best efforts to comply
         with all applicable rules and regulations of the Commission, and make
         generally available to its security holders with regard to any
         applicable Registration Statement, as soon as practicable, a
         consolidated earnings statement meeting the requirements of Rule 158
         (which need not be audited) covering a twelve-month period beginning
         after the effective date of the Registration Statement (as such term is
         defined in Rule 158(c) under the Act); and

                  (xviii) provide promptly to the Initial Purchaser, upon
         request, each document filed with the Commission pursuant to the
         requirements of Section 13 or Section 15(d) of the Exchange Act.

         (b) RESTRICTIONS ON HOLDERS. Each Holder agrees by acquisition of a
Transfer Restricted Security and the Initial Purchaser agrees that, upon receipt
of the notice from the Issuer of the commencement of a Black Out Period (in each
case, a "Black Out Notice"), such Person will forthwith discontinue disposition
of Transfer Restricted Securities pursuant to the applicable Registration
Statement until such Person is advised in writing by the Issuer of the
termination of the Black Out Period. Each Person receiving a Black Out Notice
hereby agrees that it will either (i) destroy any Prospectuses, other than
permanent file copies, then in such Person"s possession which have been replaced
by the Issuer with more recently dated Prospectuses or (ii) deliver to the
Issuer (at the Issuer"s expense) all copies, other than permanent file copies,
then in such Person"s possession of the Prospectus covering such Transfer
Restricted Securities that was current at the time of receipt of the Black Out
Notice.

SECTION 5. REGISTRATION EXPENSES

         All expenses incident to the Issuer"s performance of or compliance with
this Agreement will be borne by the Issuer, regardless of whether a Registration
Statement becomes effective, including, without limitation: (i) all registration
and filing fees and expenses; (ii) all fees and expenses of compliance with
federal securities and state Blue Sky or securities laws; (iii) all expenses of
printing (including printing Prospectuses (whether for sales, market-making or
otherwise), messenger and delivery services and telephone; (iv) all fees and
disbursements of counsel for the Issuer; (v) all application and filing fees in
connection with listing the Warrant Shares on a national securities exchange or
automated quotation system pursuant to the requirements hereof; and (vi) all
fees and disbursements of independent certified public accountants of the Issuer
(including the expenses of any special audit and comfort letters required by or
incident to such performance).

         The Issuer will, in any event, bear its internal expenses (including,
without limitation, all salaries and expenses of its officers and employees
performing legal or accounting duties), the expenses of any annual audit and the
fees and expenses of any Person, including special experts, 

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retained by the Issuer.

SECTION 6. INDEMNIFICATION

         (a) The Issuer agrees to indemnify and hold harmless each Holder, its
directors, officers and each Person, if any, who controls such Holder (within
the meaning of Section 15 of the Act or Section 20 of the Exchange Act), from
and against any and all losses, claims, damages, liabilities, judgments,
(including, without limitation, any legal or other expenses incurred in
connection with investigating or defending any matter, including any action that
could give rise to any such losses, claims, damages, liabilities or judgments)
caused by any untrue statement or alleged untrue statement of a material fact
contained in any Registration Statement, preliminary prospectus or Prospectus
(or any amendment or supplement thereto) provided by the Issuer to any Holder or
any prospective purchaser of Transfer Restricted Securities, or caused by any
omission or alleged omission to state therein a material fact required to be
stated therein or necessary to make the statements therein not misleading,
except insofar as such losses, claims, damages, liabilities or judgments are
caused by an untrue statement or omission or alleged untrue statement or
omission that is based upon information relating to a Holder furnished in
writing to the Issuer by such Holder.

         (b) Each Holder of Transfer Restricted Securities agrees, severally and
not jointly, to indemnify and hold harmless the Issuer, its directors and
officers, and each person, if any, who controls (within the meaning of Section
15 of the Act or Section 20 of the Exchange Act) the Issuer, to the same extent
as the foregoing indemnity from the Issuer set forth in Section 6(a) hereof, but
only with reference to information relating to such Holder furnished in writing
to the Issuer by such Holder expressly for use in any Registration Statement. In
no event shall any Holder, its directors, officers or any Person who controls
such Holder be liable or responsible for any amount in excess of the amount by
which the total amount received by such Holder with respect to its sale of
Transfer Restricted Securities pursuant to a Registration Statement exceeds (i)
the amount paid by such Holder for such Transfer Restricted Securities and (ii)
the amount of any damages that such Holder, its directors, officers or any
Person who controls such Holder has otherwise been required to pay by reason of
such untrue or alleged untrue statement or omission or alleged omission.

         (c) In case any action shall be commenced involving any person in
respect of which indemnity may be sought pursuant to Section 6(a) or 6(b) (the
"indemnified party"), the indemnified party shall promptly notify the person
against whom such indemnity may be sought (the "indemnifying party") in writing,
and the indemnifying party shall assume the defense of such action, including
the employment of counsel reasonably satisfactory to the indemnified party and
the payment of all fees and expenses of such counsel, as incurred (except that,
in the case of any action in respect of which indemnity may be sought pursuant
to both Sections 6(a) and 6(b), a Holder shall not be required to assume the
defense of such action pursuant to this Section 6(c), but may employ separate
counsel and participate in the defense thereof, but the fees and expenses of
such counsel, except as provided below, shall be at the expense of the Holder).
Any indemnified party shall have the right to employ separate counsel in any
such action and participate in the defense thereof, but the fees and expenses of
such counsel shall be at the expense of the indemnified party, unless (i) the
employment of such counsel shall have been specifically authorized in writing by
the indemnifying party, (ii) the indemnifying party shall have failed to assume
the defense of such action or employ counsel reasonably satisfactory to the
indemnified party or (iii) the named parties to any such action


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(including any impleaded parties) include both the indemnified party and the
indemnifying party, and the indemnified party shall have been advised by such
counsel that there may be one or more legal defenses available to it which are
different from or additional to those available to the indemnifying party (in
which case the indemnifying party shall not have the right to assume the defense
of such action on behalf of the indemnified party). In any such case, the
indemnifying party shall not, in connection with any one action or separate but
substantially similar or related actions in the same jurisdiction arising out of
the same general allegations or circumstances, be liable for the fees and
expenses of more than one separate firm of attorneys (in addition to any local
counsel) for all indemnified parties and all such fees and expenses shall be
reimbursed as they are incurred. Such firm shall be designated in writing by a
majority of the Holders, in the case of the parties indemnified pursuant to
Section 6(a), and by the Issuer, in the case of parties indemnified pursuant to
Section 6(b). The indemnifying party shall indemnify and hold harmless the
indemnified party from and against any and all losses, claims, damages,
liabilities and judgments by reason of any settlement of any action effected
with its written consent. Notwithstanding the foregoing, in the case of Section
6(a) hereof, any such settlement may be effected by the Initial Purchaser
without the Issuer"s written consent if the settlement is entered into more than
twenty Business Days after the Issuer shall have received a request from the
Initial Purchaser for reimbursement for the fees and expenses of counsel (in any
case where such fees and expenses are at the expense of the Issuer) and, prior
to the date of such settlement, the Issuer shall have failed to comply with such
reimbursement request. In the case of Section 6(a) hereof, the Issuer shall not,
without the prior written consent of the Initial Purchaser, effect any
settlement or compromise of, or consent to the entry of judgment with respect
to, any pending or threatened action in respect of which the indemnified party
is or could have been a party and indemnity or contribution may be or could have
been sought hereunder by the indemnified party, unless such settlement,
compromise or judgment (i) includes an unconditional release of the indemnified
party from all liability on claims that are or could have been the subject
matter of such action and (ii) does not include a statement as to or an
admission of fault, culpability or a failure to act, by or on behalf of the
indemnified party. Notwithstanding the foregoing, in the case of Section 6(b)
hereof, any such settlement may be effected by the indemnified party without the
indemnifying party"s written consent if the settlement is entered into more than
twenty Business Days after the indemnifying party shall have received a request
from the indemnified party for reimbursement for the fees and expenses of
counsel (in any case where such fees and expenses are at the expense of the
Indemnified party) and, prior to the date of such settlement, the indemnifying
party shall have failed to comply with such reimbursement request. In the case
of Section 6(b) hereof, the indemnifying party shall not, without the prior
written consent of the indemnified party, effect any settlement or compromise
of, or consent to the entry of judgment with respect to, any pending or
threatened action in respect of which the indemnified party is or could have
been a party and indemnity or contribution may be or could have been sought
hereunder by the indemnified party, unless such settlement, compromise or
judgment (i) includes an unconditional release of the indemnified party from all
liability on claims that are or could have been the subject matter of such
action and (ii) does not include a statement as to or an admission of fault,
culpability or a failure to act, by or on behalf of the indemnified party.

         (d) To the extent that the indemnification provided for in this Section
6 is unavailable to an indemnified party in respect of any losses, claims,
damages, liabilities or judgments referred to therein, then each indemnifying
party, in lieu of indemnifying such indemnified party, shall contribute to the
amount paid or payable by such indemnified party as a result of such losses,
claims,



<PAGE>   12

                                                                              11

damages, liabilities or judgments (i) in such proportion as is appropriate to
reflect the relative benefits received by the Issuer, on the one hand, and the
Holders, on the other hand, from their sale of Transfer Restricted Securities or
(ii) if the allocation provided by clause 6(d)(i) is not permitted by applicable
law, in such proportion as is appropriate to reflect not only the relative
benefits referred to in clause 6(d)(i) hereof but also the relative fault of the
Issuer, on the one hand, and of the Holder, on the other hand, in connection
with the statements or omissions which resulted in such losses, claims, damages,
liabilities or judgments, as well as any other relevant equitable
considerations. The relative fault of the Issuer, on the one hand, and of the
Holder, on the other hand, shall be determined by reference to, among other
things, whether the untrue or alleged untrue statement of a material fact or the
omission or alleged omission to state a material fact relates to information
supplied by the Issuer, on the one hand, or by the Holder, on the other hand,
and the parties" relative intent, knowledge, access to information and
opportunity to correct or prevent such statement or omission. The amount paid or
payable by an indemnified party as a result of the losses, claims, damages,
liabilities or judgments referred to above shall be deemed to include, subject
to the limitations set forth in the second paragraph of Section 6(a), any legal
or other fees or expenses reasonably incurred by such indemnified party in
connection with investigating or defending any matter, including any action that
could have given rise to such losses, claims, damages, liabilities or judgments.

         The Issuer and each Holder agree that it would not be just and
equitable if contribution pursuant to this Section 6(d) were determined by pro
rata allocation (even if the Holders were treated as one entity for such
purpose) or by any other method of allocation which does not take account of the
equitable considerations referred to in the immediately preceding paragraph.
Notwithstanding the provisions of this Section 6, no Holder, its directors, its
officers or any Person, if any, who controls such Holder shall be required to
contribute, in the aggregate, any amount in excess of the amount by which the
total received by such Holder with respect to the sale of Transfer Restricted
Securities pursuant to a Registration Statement exceeds (i) the amount paid by
such Holder for such Transfer Restricted Securities and (ii) the amount of any
damages which such Holder has otherwise been required to pay by reason of such
untrue or alleged untrue statement or omission or alleged omission. No person
guilty of fraudulent misrepresentation (within the meaning of Section 11(f) of
the Act) shall be entitled to contribution from any person who was not guilty of
such fraudulent misrepresentation. The Holders" obligations to contribute
pursuant to this Section 6(d) are several in proportion to the respective
principal amount of Transfer Restricted Securities held by each Holder hereunder
and not joint.

         (e) The Issuer agrees that the indemnity and contribution provisions of
this Section 6 shall apply to the Initial Purchaser to the same extent, on the
same conditions, as it applies to Holders.

SECTION 7. RULE 144

         The Issuer agrees with each Holder, for so long as any Transfer
Restricted Securities remain outstanding and during any period in which the
Issuer is subject to Section 13 or 15(d) of the Exchange Act, to make all
filings required thereby in a timely manner in order to permit resales of such
Transfer Restricted Securities pursuant to Rule 144.


<PAGE>   13
                                                                              12

SECTION 8. MISCELLANEOUS

         (a) REMEDIES. The Issuer acknowledges and agrees that any failure by
the Issuer to comply with its obligations under Section 3 hereof may result in
material irreparable injury to the Initial Purchaser or the Holders for which
there is no adequate remedy at law, that it will not be possible to measure
damages for such injuries precisely and that, in the event of any such failure,
the Initial Purchaser or any Holder may obtain such relief as may be required to
specifically enforce the Issuer"s obligations under Section 3 hereof. The Issuer
further agrees to waive the defense in any action for specific performance that
a remedy at law would be adequate.

         (b) NO INCONSISTENT AGREEMENTS. The Issuer will not, on or after the
date of this Agreement, enter into any agreement with respect to its securities
that is inconsistent with the rights granted to the Holders in this Agreement or
otherwise conflicts with the provisions hereof. The rights granted to the
Holders hereunder do not in any way conflict with and are not inconsistent with
the rights granted to the holders of the Issuer"s securities under any agreement
in effect on the date hereof.

         (c) AMENDMENTS AND WAIVERS. The provisions of this Agreement may not be
amended, modified or supplemented, and waivers or consents to or departures from
the provisions hereof may not be given unless (i) in the case of this Section
8(c)(i), the Issuer has obtained the written consent of Holders of all
outstanding Transfer Restricted Securities, and (ii) in the case of all other
provisions hereof, the Issuer has obtained the written consent of Holders of a
majority of the outstanding principal amount of Transfer Restricted Securities
(excluding Transfer Restricted Securities held by the Issuer or its Affiliates);
provided that this Agreement may be amended without the consent of any Holder
pursuant to Section 11(l) of the Warrant Agreement.

         (d) THIRD PARTY BENEFICIARY. The Holders shall be third party
beneficiaries to the agreements granting rights to Holders made hereunder
between the Issuer, on the one hand, and the Initial Purchaser, on the other
hand, and shall have the right to enforce such agreements directly to the extent
they may deem such enforcement necessary or advisable to protect its rights or
the rights of Holders hereunder.

         (e) NOTICES. All notices and other communications provided for or
permitted hereunder shall be made in writing by hand-delivery, first-class mail
(registered or certified, return receipt requested), telex, telecopier, or air
courier guaranteeing overnight delivery:

                  (i) if to a Holder, at the address set forth on the records of
         the Warrant Agent, with a copy to the Warrant Agent; and

                  (ii) if to the Issuer:

                           Insilco Holding Co. 
                           425 Metro Place N.
                           Box 7196
                           Dublin, Ohio 43017
                           Attention:  Kenneth Koch, Esq.


<PAGE>   14
                                                                              13

                           With a copy to:

                           Davis Polk & Wardwell
                           450 Lexington Avenue
                           New York, New York 10017
                           Telecopier No.: (212) 450-4000
                           Attention:  Richard D. Truesdell, Esq.

         All such notices and communications shall be deemed to have been duly
given: at the time delivered by hand, if personally delivered; five Business
Days after being deposited in the mail, postage prepaid, if mailed; when receipt
acknowledged, if telecopied; and on the next Business Day, if timely delivered
to an air courier guaranteeing overnight delivery.

         Copies of all such notices, demands or other communications shall be
concurrently delivered by the Person giving the same to the Warrant Agent at the
address specified in Warrant Agreement.

         (f) SUCCESSORS AND ASSIGNS. This Agreement shall inure to the benefit
of and be binding upon the successors and assigns of each of the parties,
including, without limitation, and without the need for an express assignment,
subsequent Holders; provided that nothing herein shall be deemed to permit any
assignment, transfer or other disposition of Transfer Restricted Securities in
violation of the terms hereof or of the Purchase Agreement or the Warrant
Agreement. If any transferee of any Holder shall acquire Transfer Restricted
Securities in any manner, whether by operation of law or otherwise, such
Transfer Restricted Securities shall be held subject to all of the terms of this
Agreement, and by taking and holding such Transfer Restricted Securities such
Person shall be conclusively deemed to have agreed to be bound by and to perform
all of the terms and provisions of this Agreement, including the restrictions on
resale set forth in this Agreement and, if applicable, the Purchase Agreement,
and such Person shall be entitled to receive the benefits hereof.

         (g) COUNTERPARTS. This Agreement may be executed in any number of
counterparts and by the parties hereto in separate counterparts, each of which
when so executed shall be deemed to be an original and all of which taken
together shall constitute one and the same agreement.

         (h) HEADINGS. The headings in this Agreement are for convenience of
reference only and shall not limit or otherwise affect the meaning hereof.

         (i) GOVERNING LAW. THIS AGREEMENT SHALL BE GOVERNED BY AND CONSTRUED IN
ACCORDANCE WITH THE LAWS OF THE STATE OF NEW YORK, WITHOUT REGARD TO THE
CONFLICT OF LAW RULES THEREOF.

         (j) SEVERABILITY. In the event that any one or more of the provisions
contained herein, or the application thereof in any circumstance, is held
invalid, illegal or unenforceable, the validity, legality and enforceability of
any such provision in every other respect and of the remaining provisions
contained herein shall not be affected or impaired thereby.

         (k) ENTIRE AGREEMENT. This Agreement is intended by the parties as a
final expression of their agreement and intended to be a complete and exclusive
statement of the agreement and understanding of the parties hereto in respect 
of the subject matter contained herein. There are no restrictions, promises, 
warranties or undertakings, other than those set forth or referred to herein 
with respect to the registration rights granted with respect to the Transfer 
Restricted Securities. This Agreement supersedes all prior agreements and 
understandings between the parties with respect to such subject matter.








<PAGE>   15



         IN WITNESS WHEREOF, the parties have executed this Agreement as of the
date first written above.

                                                     INSILCO HOLDING CO.


                                                            
                                                     By:
                                                        ----------------------
                                                           Name:
                                                           Title:
DONALDSON, LUFKIN & JENRETTE
SECURITIES CORPORATION


By:
   ---------------------------------
   Name:
   Title: